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112-410: Winds are commonly classified by their spatial scale , their speed and direction, the forces that cause them, the regions in which they occur, and their effect. Winds have various defining aspects such as velocity ( wind speed ), the density of the gases involved, and energy content or wind energy . In meteorology , winds are often referred to according to their strength, and the direction from which

224-457: A t 2 2 + v 0 t + r 0 , [ 2 ] {\displaystyle {\begin{aligned}\mathbf {v} &=\int \mathbf {a} dt=\mathbf {a} t+\mathbf {v} _{0}\,,&[1]\\\mathbf {r} &=\int (\mathbf {a} t+\mathbf {v} _{0})dt={\frac {\mathbf {a} t^{2}}{2}}+\mathbf {v} _{0}t+\mathbf {r} _{0}\,,&[2]\\\end{aligned}}} in magnitudes, v =

336-577: A ( r − r 0 ) [ 4 ] r = r 0 + v t − 1 2 a t 2 [ 5 ] {\displaystyle {\begin{aligned}v&=at+v_{0}&[1]\\r&=r_{0}+v_{0}t+{\tfrac {1}{2}}{a}t^{2}&[2]\\r&=r_{0}+{\tfrac {1}{2}}\left(v+v_{0}\right)t&[3]\\v^{2}&=v_{0}^{2}+2a\left(r-r_{0}\right)&[4]\\r&=r_{0}+vt-{\tfrac {1}{2}}{a}t^{2}&[5]\\\end{aligned}}} where: Equations [1] and [2] are from integrating

448-410: A t + v 0 [ 1 ] r = r 0 + v 0 t + 1 2 a t 2 [ 2 ] r = r 0 + 1 2 ( v + v 0 ) t [ 3 ] v 2 = v 0 2 + 2

560-456: A t + v 0 , [ 1 ] r = a t 2 2 + v 0 t + r 0 . [ 2 ] {\displaystyle {\begin{aligned}v&=at+v_{0}\,,&[1]\\r&={\frac {{a}t^{2}}{2}}+v_{0}t+r_{0}\,.&[2]\\\end{aligned}}} Equation [3] involves the average velocity ⁠ v + v 0 / 2 ⁠ . Intuitively,

672-558: A = ⁠ d r / dt ⁠ ), and time t . Euclidean vectors in 3D are denoted throughout in bold. This is equivalent to saying an equation of motion in r is a second-order ordinary differential equation (ODE) in r , M [ r ( t ) , r ˙ ( t ) , r ¨ ( t ) , t ] = 0 , {\displaystyle M\left[\mathbf {r} (t),\mathbf {\dot {r}} (t),\mathbf {\ddot {r}} (t),t\right]=0\,,} where t

784-464: A = a ( t ) have the general, coordinate-independent definitions; v = d r d t , a = d v d t = d 2 r d t 2 {\displaystyle \mathbf {v} ={\frac {d\mathbf {r} }{dt}}\,,\quad \mathbf {a} ={\frac {d\mathbf {v} }{dt}}={\frac {d^{2}\mathbf {r} }{dt^{2}}}} Notice that velocity always points in

896-541: A difference in atmospheric pressure exists, air moves from the higher to the lower pressure area, resulting in winds of various speeds. On a rotating planet, air will also be deflected by the Coriolis effect , except exactly on the equator. Globally, the two major driving factors of large-scale wind patterns (the atmospheric circulation ) are the differential heating between the equator and the poles (difference in absorption of solar energy leading to buoyancy forces ) and

1008-423: A combination of wind and cold temperatures, when winds exceed 40 kilometers per hour (25 mph), rendering their hair and wool coverings ineffective. Although penguins use both a layer of fat and feathers to help guard against coldness in both water and air, their flippers and feet are less immune to the cold. In the coldest climates such as Antarctica , emperor penguins use huddling behavior to survive

1120-438: A formula relating time, velocity and distance. De Soto's comments are remarkably correct regarding the definitions of acceleration (acceleration was a rate of change of motion (velocity) in time) and the observation that acceleration would be negative during ascent. Discourses such as these spread throughout Europe, shaping the work of Galileo Galilei and others, and helped in laying the foundation of kinematics. Galileo deduced

1232-514: A gale, a storm, or a hurricane. Within the Beaufort scale, gale-force winds lie between 28 knots (52 km/h) and 55 knots (102 km/h) with preceding adjectives such as moderate, fresh, strong, and whole used to differentiate the wind's strength within the gale category. A storm has winds of 56 knots (104 km/h) to 63 knots (117 km/h). The terminology for tropical cyclones differs from one region to another globally. Most ocean basins use

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1344-490: A general solution with arbitrary constants, the arbitrariness corresponding to a family of solutions. A particular solution can be obtained by setting the initial values , which fixes the values of the constants. To state this formally, in general an equation of motion M is a function of the position r of the object, its velocity (the first time derivative of r , v = ⁠ d r / dt ⁠ ), and its acceleration (the second derivative of r ,

1456-584: A large potential as wind speeds are typically higher and more constant away from the coast. Wind energy the kinetic energy of the air, is proportional to the third power of wind velocity. Betz's law described the theoretical upper limit of what fraction of this energy wind turbines can extract, which is about 59%. Wind figures prominently in several popular sports, including recreational hang gliding , hot air ballooning , kite flying, snowkiting , kite landboarding , kite surfing , paragliding , sailing , and windsurfing . In gliding, wind gradients just above

1568-484: A mechanical sandblaster in a laboratory setting, scientists affiliated with the Agricultural Research Service studied the effects of windblown sand abrasion on cotton seedlings. The study showed that the seedlings responded to the damage created by the windblown sand abrasion by shifting energy from stem and root growth to the growth and repair of the damaged stems. After a period of four weeks,

1680-633: A new body of knowledge, now called physics. At Oxford, Merton College sheltered a group of scholars devoted to natural science, mainly physics, astronomy and mathematics, who were of similar stature to the intellectuals at the University of Paris. Thomas Bradwardine extended Aristotelian quantities such as distance and velocity, and assigned intensity and extension to them. Bradwardine suggested an exponential law involving force, resistance, distance, velocity and time. Nicholas Oresme further extended Bradwardine's arguments. The Merton school proved that

1792-440: A result of greater elevation. Only Domingo de Soto , a Spanish theologian, in his commentary on Aristotle 's Physics published in 1545, after defining "uniform difform" motion (which is uniformly accelerated motion) – the word velocity was not used – as proportional to time, declared correctly that this kind of motion was identifiable with freely falling bodies and projectiles, without his proving these propositions or suggesting

1904-773: A significant effect on the control of aircraft during take-off and landing, and was a significant cause of aircraft accidents involving large loss of life within the United States. Sound movement through the atmosphere is affected by wind shear, which can bend the wave front, causing sounds to be heard where they normally would not, or vice versa. Strong vertical wind shear within the troposphere also inhibits tropical cyclone development, but helps to organize individual thunderstorms into living longer life cycles that can then produce severe weather . The thermal wind concept explains how differences in wind speed with height are dependent on horizontal temperature differences, and explains

2016-433: A variety of aeolian processes such as the formation of fertile soils, for example loess , and by erosion . Dust from large deserts can be moved great distances from its source region by the prevailing winds ; winds that are accelerated by rough topography and associated with dust outbreaks have been assigned regional names in various parts of the world because of their significant effects on those regions. Wind also affects

2128-498: A wind barb to show both wind direction and speed. The wind barb shows the speed using "flags" on the end. Winds are depicted as blowing from the direction the barb is facing. Therefore, a northeast wind will be depicted with a line extending from the cloud circle to the northeast, with flags indicating wind speed on the northeast end of this line. Once plotted on a map, an analysis of isotachs (lines of equal wind speeds) can be accomplished. Isotachs are particularly useful in diagnosing

2240-523: Is a microscale meteorological phenomenon occurring over a very small distance, but it can be associated with mesoscale or synoptic scale weather features such as squall lines and cold fronts . It is commonly observed near microbursts and downbursts caused by thunderstorms , weather fronts, areas of locally higher low level winds referred to as low level jets, near mountains, radiation inversions that occur because of clear skies and calm winds, buildings, wind turbines , and sailboats . Wind shear has

2352-402: Is a unit vector in the direction of the axis of rotation, and θ is the angle the object turns through about the axis. The following relation holds for a point-like particle, orbiting about some axis with angular velocity ω : v = ω × r {\displaystyle \mathbf {v} ={\boldsymbol {\omega }}\times \mathbf {r} } where r

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2464-481: Is a Japanese word, usually translated as divine wind, believed to be a gift from the gods. The term is first known to have been used as the name of a pair or series of typhoons that are said to have saved Japan from two Mongol fleets under Kublai Khan that attacked Japan in 1274 and again in 1281. Protestant Wind is a name for the storm that deterred the Spanish Armada from an invasion of England in 1588 where

2576-463: Is a difference in wind speed and direction over a relatively short distance in the Earth's atmosphere. Wind shear can be broken down into vertical and horizontal components, with horizontal wind shear seen across weather fronts and near the coast, and vertical shear typically near the surface, though also at higher levels in the atmosphere near upper level jets and frontal zones aloft. Wind shear itself

2688-449: Is an increase of the wind speed above a certain threshold, which lasts for a minute or more. To determine winds aloft, radiosondes determine wind speed by GPS , radio navigation , or radar tracking of the probe. Alternatively, movement of the parent weather balloon position can be tracked from the ground visually using theodolites . Remote sensing techniques for wind include SODAR , Doppler lidars and radars, which can measure

2800-423: Is exposed to the wind to determine the dynamic pressure, which is then used to compute the wind speed. Sustained wind speeds are reported globally at a 10-meter (33 ft) height and are averaged over a 10‑minute time frame. The United States reports winds over a 1‑minute average for tropical cyclones, and a 2‑minute average within weather observations. India typically reports winds over a 3‑minute average. Knowing

2912-476: Is generally the primary factor governing the direction of flight operations at an airport, and airfield runways are aligned to account for the common wind direction(s) of the local area. While taking off with a tailwind may be necessary under certain circumstances, a headwind is generally desirable. A tailwind increases takeoff distance required and decreases the climb gradient. The ancient Sinhalese of Anuradhapura and in other cities around Sri Lanka used

3024-596: Is insufficient rainfall to support vegetation. An example is the formation of sand dunes , on a beach or in a desert. Loess is a homogeneous, typically nonstratified, porous, friable , slightly coherent, often calcareous, fine-grained, silty , pale yellow or buff, windblown (Aeolian) sediment . It generally occurs as a widespread blanket deposit that covers areas of hundreds of square kilometers and tens of meters thick. Loess often stands in either steep or vertical faces. Loess tends to develop into highly rich soils. Under appropriate climatic conditions, areas with loess are among

3136-548: Is lower over the poles, and weakest during the summer and when pressures are higher over the poles. Together with the trade winds , the westerlies enabled a round-trip trade route for sailing ships crossing the Atlantic and Pacific Oceans, as the westerlies lead to the development of strong ocean currents on the western sides of oceans in both hemispheres through the process of western intensification . These western ocean currents transport warm, sub-tropical water polewards toward

3248-561: Is more likely to be exactly solvable. In general, the equation will be non-linear , and cannot be solved exactly so a variety of approximations must be used. The solutions to nonlinear equations may show chaotic behavior depending on how sensitive the system is to the initial conditions. Kinematics, dynamics and the mathematical models of the universe developed incrementally over three millennia, thanks to many thinkers, only some of whose names we know. In antiquity, priests , astrologers and astronomers predicted solar and lunar eclipses ,

3360-542: Is not the primary form of seed dispersal in plants, it provides dispersal for a large percentage of the biomass of land plants. Erosion can be the result of material movement by the wind. There are two main effects. First, wind causes small particles to be lifted and therefore moved to another region. This is called deflation. Second, these suspended particles may impact on solid objects causing erosion by abrasion (ecological succession). Wind erosion generally occurs in areas with little or no vegetation, often in areas where there

3472-473: Is of prime importance. He measured momentum by the product of velocity and weight; mass is a later concept, developed by Huygens and Newton. In the swinging of a simple pendulum, Galileo says in Discourses that "every momentum acquired in the descent along an arc is equal to that which causes the same moving body to ascend through the same arc." His analysis on projectiles indicates that Galileo had grasped

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3584-473: Is one of the more primitive means of dispersal. Wind dispersal can take on one of two primary forms: seeds can float on the breeze or alternatively, they can flutter to the ground. The classic examples of these dispersal mechanisms include dandelions ( Taraxacum spp., Asteraceae ), which have a feathery pappus attached to their seeds and can be dispersed long distances, and maples ( Acer (genus) spp., Sapindaceae ), which have winged seeds and flutter to

3696-512: Is the movement of gases or charged particles from the Sun through space, while planetary wind is the outgassing of light chemical elements from a planet's atmosphere into space. The strongest observed winds on a planet in the Solar System occur on Neptune and Saturn . In human civilization, the concept of wind has been explored in mythology , influenced the events of history, expanded

3808-408: Is the position vector of the particle (radial from the rotation axis) and v the tangential velocity of the particle. For a rotating continuum rigid body , these relations hold for each point in the rigid body. The differential equation of motion for a particle of constant or uniform acceleration in a straight line is simple: the acceleration is constant, so the second derivative of the position of

3920-400: Is time, and each overdot denotes one time derivative . The initial conditions are given by the constant values at t = 0 , r ( 0 ) , r ˙ ( 0 ) . {\displaystyle \mathbf {r} (0)\,,\quad \mathbf {\dot {r}} (0)\,.} The solution r ( t ) to the equation of motion, with specified initial values, describes

4032-406: Is warmed by the sun more slowly because of water's greater specific heat compared to land. As the temperature of the surface of the land rises, the land heats the air above it by conduction. The warm air is less dense than the surrounding environment and so it rises. The cooler air above the sea, now with higher sea level pressure , flows inland into the lower pressure, creating a cooler breeze near

4144-500: The Doppler shift of electromagnetic radiation scattered or reflected off suspended aerosols or molecules , and radiometers and radars can be used to measure the surface roughness of the ocean from space or airplanes. Ocean roughness can be used to estimate wind velocity close to the sea surface over oceans. Geostationary satellite imagery can be used to estimate the winds at cloud top based upon how far clouds move from one image to

4256-571: The Gobi Desert , which combined with pollutants, spread large distances downwind, or eastward, into North America. There are local names for winds associated with sand and dust storms. The Calima carries dust on southeast winds into the Canary islands . The Harmattan carries dust during the winter into the Gulf of Guinea . The Sirocco brings dust from north Africa into southern Europe because of

4368-471: The Magnus effect , every sailing ship has a hull , rigging and at least one mast to hold up the sails that use the wind to power the ship. Ocean journeys by sailing ship can take many months, and a common hazard is becoming becalmed because of lack of wind, or being blown off course by severe storms or winds that do not allow progress in the desired direction. A severe storm could lead to shipwreck , and

4480-559: The North African Campaign of the World War II, "allied and German troops were several times forced to halt in mid-battle because of sandstorms caused by khamsin... Grains of sand whirled by the wind blinded the soldiers and created electrical disturbances that rendered compasses useless." There are many different forms of sailing ships, but they all have certain basic things in common. Except for rotor ships using

4592-488: The SUVAT equations , arising from the definitions of kinematic quantities : displacement ( s ), initial velocity ( u ), final velocity ( v ), acceleration ( a ), and time ( t ). A differential equation of motion, usually identified as some physical law (for example, F = ma) and applying definitions of physical quantities , is used to set up an equation for the problem. Solving the differential equation will lead to

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4704-412: The atmospheric boundary layer in the midlatitudes. The thermal wind is the difference in the geostrophic wind between two levels in the atmosphere. It exists only in an atmosphere with horizontal temperature gradients . The ageostrophic wind component is the difference between actual and geostrophic wind, which is responsible for air "filling up" cyclones over time. The gradient wind is similar to

4816-501: The gristmilling and sugarcane industries. Horizontal-axle windmills were later used extensively in Northwestern Europe to grind flour beginning in the 1180s, and many Dutch windmills still exist. Wind power is now one of the main sources of renewable energy , and its use is growing rapidly, driven by innovation and falling prices. Most of the installed capacity in wind power is onshore , but offshore wind power offers

4928-467: The leeward or downwind side. Moisture is removed by orographic lift, leaving drier air on the descending and generally warming, leeward side where a rain shadow is observed. Winds that flow over mountains down into lower elevations are known as downslope winds. These winds are warm and dry. In Europe downwind of the Alps , they are known as foehn . In Poland, an example is the halny wiatr. In Argentina,

5040-502: The logarithmic wind profile , can be utilized to derive vertical information. Temporal information is typically computed by solving the Navier-Stokes equations within numerical weather prediction models, generating global data for General Circulation Models or specific regional data. The calculation of wind fields is influenced by factors such as radiation differentials, Earth's rotation, and friction, among others. Solving

5152-475: The particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations ), and sometimes to the solutions to those equations. However, kinematics is simpler. It concerns only variables derived from the positions of objects and time. In circumstances of constant acceleration, these simpler equations of motion are usually referred to as

5264-500: The polar regions . The westerlies can be particularly strong, especially in the southern hemisphere, where there is less land in the middle latitudes to cause the flow pattern to amplify, which slows the winds down. The strongest westerly winds in the middle latitudes are within a band known as the Roaring Forties , between 40 and 50 degrees latitude south of the equator. The Westerlies play an important role in carrying

5376-400: The rotation of the planet . Outside the tropics and aloft from frictional effects of the surface, the large-scale winds tend to approach geostrophic balance . Near the Earth's surface, friction causes the wind to be slower than it would be otherwise. Surface friction also causes winds to blow more inward into low-pressure areas. Winds defined by an equilibrium of physical forces are used in

5488-450: The size of a space (hence spatial ), or the extent of it at which a phenomenon or process occurs. For instance, in physics an object or phenomenon can be called microscopic if too small to be visible. In climatology , a micro-climate is a climate which might occur in a mountain , valley or near a lake shore. In statistics , a megatrend is a political, social, economical, environmental or technological trend which involves

5600-457: The wavefunction , which describes how a quantum state behaves analogously using the space and time coordinates of the particles. There are analogs of equations of motion in other areas of physics, for collections of physical phenomena that can be considered waves, fluids, or fields. From the instantaneous position r = r ( t ) , instantaneous meaning at an instant value of time t , the instantaneous velocity v = v ( t ) and acceleration

5712-400: The windward side of mountains and is caused by the rising air motion of a large-scale flow of moist air across the mountain ridge, also known as upslope flow, resulting in adiabatic cooling and condensation. In mountainous parts of the world subjected to relatively consistent winds (for example, the trade winds), a more moist climate usually prevails on the windward side of a mountain than on

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5824-577: The African dust that reaches the United States affects Florida. Since 1970, dust outbreaks have worsened because of periods of drought in Africa. There is a large variability in the dust transport to the Caribbean and Florida from year to year. Dust events have been linked to a decline in the health of coral reefs across the Caribbean and Florida, primarily since the 1970s. Similar dust plumes originate in

5936-452: The Caribbean into southeastern North America. When dust from the Sahara moving around the southern periphery of the ridge within the belt of trade winds moves over land, rainfall is suppressed and the sky changes from a blue to a white appearance, which leads to an increase in red sunsets. Its presence negatively impacts air quality by adding to the count of airborne particulates. Over 50% of

6048-457: The Earth's complex atmospheric system. Historically, the Beaufort wind force scale (created by Beaufort ) provides an empirical description of wind speed based on observed sea conditions. Originally it was a 13-level scale (0–12), but during the 1940s, the scale was expanded to 18 levels (0–17). There are general terms that differentiate winds of different average speeds such as a breeze,

6160-423: The Earth's deserts lie near the average latitude of the subtropical ridge, where descent reduces the relative humidity of the air mass. The strongest winds are in the mid-latitudes where cold polar air meets warm air from the tropics. The trade winds (also called trades) are the prevailing pattern of easterly surface winds found in the tropics towards the Earth's equator . The trade winds blow predominantly from

6272-562: The Navier-Stokes equations is a time-consuming numerical process, but machine learning techniques can help expedite computation time. Numerical weather prediction models have significantly advanced our understanding of atmospheric dynamics and have become indispensable tools in weather forecasting and climate research. By leveraging both spatial and temporal data, these models enable scientists to analyze and predict global and regional wind patterns, contributing to our comprehension of

6384-624: The Prevailing Westerlies are the prevailing winds in the middle latitudes between 35 and 65 degrees latitude . These prevailing winds blow from the west to the east, and steer extratropical cyclones in this general manner. The winds are predominantly from the southwest in the Northern Hemisphere and from the northwest in the Southern Hemisphere. They are strongest in the winter when the pressure

6496-584: The United States, and they can be as strong as other downslope winds and unusual compared to other foehn winds in that the relative humidity typically changes little due to the increased moisture in the source air mass. In California, downslope winds are funneled through mountain passes, which intensify their effect, and examples include the Santa Ana and sundowner winds. Wind speeds during downslope wind effect can exceed 160 kilometers per hour (99 mph). Wind shear, sometimes referred to as wind gradient ,

6608-549: The Westerlies, these prevailing winds blow from the east to the west, and are often weak and irregular. Because of the low sun angle, cold air builds up and subsides at the pole creating surface high-pressure areas, forcing an equatorward outflow of air; that outflow is deflected westward by the Coriolis effect. In coastal regions, sea breezes and land breezes can be important factors in a location's prevailing winds. The sea

6720-449: The airspeed to deal with the effect of the gradient. When landing, wind shear is also a hazard, particularly when the winds are strong. As the glider descends through the wind gradient on final approach to landing, airspeed decreases while sink rate increases, and there is insufficient time to accelerate prior to ground contact. The pilot must anticipate the wind gradient and use a higher approach speed to compensate for it. In arid climates,

6832-466: The angle of hang. Wind speed is measured by anemometers , most commonly using rotating cups or propellers. When a high measurement frequency is needed (such as in research applications), wind can be measured by the propagation speed of ultrasound signals or by the effect of ventilation on the resistance of a heated wire. Another type of anemometer uses pitot tubes that take advantage of the pressure differential between an inner tube and an outer tube that

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6944-529: The average wind speed to determine the tropical cyclone's category. Below is a summary of the classifications used by Regional Specialized Meteorological Centers worldwide: The Enhanced Fujita Scale (EF Scale) rates the strength of tornadoes by using damage to estimate wind speed. It has six levels, from visible damage to complete destruction. It is used in the United States and in some other countries, including Canada and France, with small modifications. The station model plotted on surface weather maps uses

7056-445: The behavior of a physical system in terms of its motion as a function of time. More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions in terms of dynamic variables. These variables are usually spatial coordinates and time, but may include momentum components. The most general choice are generalized coordinates which can be any convenient variables characteristic of

7168-552: The coast, such as the Sitka spruce and sea grape , are pruned back by wind and salt spray near the coastline. Wind can also cause plants damage through sand abrasion . Strong winds will pick up loose sand and topsoil and hurl it through the air at speeds ranging from 25 miles per hour (40 km/h) to 40 miles per hour (64 km/h). Such windblown sand causes extensive damage to plant seedlings because it ruptures plant cells, making them vulnerable to evaporation and drought. Using

7280-399: The coast. A background along-shore wind either strengthens or weakens the sea breeze, depending on its orientation with respect to the Coriolis force. At night, the land cools off more quickly than the ocean because of differences in their specific heat values. This temperature change causes the daytime sea breeze to dissipate. When the temperature onshore cools below the temperature offshore,

7392-400: The decomposition and analysis of wind profiles. They are useful for simplifying the atmospheric equations of motion and for making qualitative arguments about the horizontal and vertical distribution of horizontal winds. The geostrophic wind component is the result of the balance between Coriolis force and pressure gradient force. It flows parallel to isobars and approximates the flow above

7504-392: The definitions of velocity and acceleration, subject to the initial conditions r ( t 0 ) = r 0 and v ( t 0 ) = v 0 ; v = ∫ a d t = a t + v 0 , [ 1 ] r = ∫ ( a t + v 0 ) d t =

7616-1020: The direction of motion, in other words for a curved path it is the tangent vector . Loosely speaking, first order derivatives are related to tangents of curves. Still for curved paths, the acceleration is directed towards the center of curvature of the path. Again, loosely speaking, second order derivatives are related to curvature. The rotational analogues are the "angular vector" (angle the particle rotates about some axis) θ = θ ( t ) , angular velocity ω = ω ( t ) , and angular acceleration α = α ( t ) : θ = θ n ^ , ω = d θ d t , α = d ω d t , {\displaystyle {\boldsymbol {\theta }}=\theta {\hat {\mathbf {n} }}\,,\quad {\boldsymbol {\omega }}={\frac {d{\boldsymbol {\theta }}}{dt}}\,,\quad {\boldsymbol {\alpha }}={\frac {d{\boldsymbol {\omega }}}{dt}}\,,} where n̂

7728-466: The equation s = ⁠ 1 / 2 ⁠ gt in his work geometrically, using the Merton rule , now known as a special case of one of the equations of kinematics. Galileo was the first to show that the path of a projectile is a parabola . Galileo had an understanding of centrifugal force and gave a correct definition of momentum . This emphasis of momentum as a fundamental quantity in dynamics

7840-477: The equations of motion that begin to be recognized as the modern ones. Later the equations of motion also appeared in electrodynamics , when describing the motion of charged particles in electric and magnetic fields, the Lorentz force is the general equation which serves as the definition of what is meant by an electric field and magnetic field . With the advent of special relativity and general relativity ,

7952-457: The existence of the jet stream . As a natural force, the wind was often personified as one or more wind gods or as an expression of the supernatural in many cultures. Vayu is the Vedic and Hindu God of Wind. The Greek wind gods include Boreas , Notus , Eurus , and Zephyrus . Aeolus , in varying interpretations the ruler or keeper of the four winds, has also been described as Astraeus ,

8064-536: The first law and the second law of motion. He did not generalize and make them applicable to bodies not subject to the earth's gravitation. That step was Newton's contribution. The term "inertia" was used by Kepler who applied it to bodies at rest. (The first law of motion is now often called the law of inertia.) Galileo did not fully grasp the third law of motion, the law of the equality of action and reaction, though he corrected some errors of Aristotle. With Stevin and others Galileo also wrote on statics. He formulated

8176-629: The flatter countryside. These conditions are dangerous to ascending and descending airplanes . Cool winds accelerating through mountain gaps have been given regional names. In Central America, examples include the Papagayo wind , the Panama wind, and the Tehuano wind . In Europe, similar winds are known as the Bora , Tramontane , and Mistral . When these winds blow over open waters, they increase mixing of

8288-408: The geostrophic wind but also includes centrifugal force (or centripetal acceleration ). Wind direction is usually expressed in terms of the direction from which it originates. For example, a northerly wind blows from the north to the south. Weather vanes pivot to indicate the direction of the wind. At airports, windsocks indicate wind direction, and can also be used to estimate wind speed by

8400-683: The god of dusk who fathered the four winds with Eos , goddess of dawn. The ancient Greeks also observed the seasonal change of the winds, as evidenced by the Tower of the Winds in Athens . Venti are the Roman gods of the winds. Fūjin is the Japanese wind god and is one of the eldest Shinto gods. According to legend, he was present at the creation of the world and first let the winds out of his bag to clear

8512-465: The ground. An important constraint on wind dispersal is the need for abundant seed production to maximize the likelihood of a seed landing in a site suitable for germination . There are also strong evolutionary constraints on this dispersal mechanism. For instance, species in the Asteraceae on islands tended to have reduced dispersal capabilities (i.e., larger seed mass and smaller pappus) relative to

8624-592: The growth of the seedling once again became uniform throughout the plant, as it was before the windblown sand abrasion occurred. Besides plant gametes (seeds) wind also helps plants' enemies: Spores and other propagules of plant pathogens are even lighter and able to travel long distances. A few plant diseases are known to have been known to travel over marginal seas and even entire oceans. Humans are unable to prevent or even slow down wind dispersal of plant pathogens, requiring prediction and amelioration instead. Cattle and sheep are prone to wind chill caused by

8736-586: The local name for down sloped winds is zonda . In Java, the local name for such winds is koembang. In New Zealand, they are known as the Nor'west arch , and are accompanied by the cloud formation they are named after that has inspired artwork over the years. In the Great Plains of the United States, these winds are known as a chinook . Downslope winds also occur in the foothills of the Appalachian mountains of

8848-463: The location of the jet stream on upper-level constant pressure charts, and are usually located at or above the 300 hPa level. Easterly winds, on average, dominate the flow pattern across the poles, westerly winds blow across the mid-latitudes of the Earth, polewards of the subtropical ridge , while easterlies again dominate the tropics . Directly under the subtropical ridge are the doldrums, or horse latitudes, where winds are lighter. Many of

8960-455: The loss of all hands. Sailing ships can only carry a certain quantity of supplies in their hold , so they have to plan long voyages carefully to include appropriate provisions , including fresh water. For aerodynamic aircraft which operate relative to the air, winds affect groundspeed, and in the case of lighter-than-air vehicles, wind may play a significant or solitary role in their movement and ground track . The velocity of surface wind

9072-507: The lowest 7,000 feet (2,100 m) of the Earth's atmosphere , contaminates wind profiles gathered by weather radar, particularly the WSR-88D , by increasing the environmental wind returns by 15 knots (28 km/h) to 30 knots (56 km/h). Scale (spatial) Spatial scale is a specific application of the term scale for describing or categorizing (e.g. into orders of magnitude )

9184-476: The main source of erosion is wind. The general wind circulation moves small particulates such as dust across wide oceans thousands of kilometers downwind of their point of origin, which is known as deflation. Westerly winds in the mid-latitudes of the planet drive the movement of ocean currents from west to east across the world's oceans. Wind has a very important role in aiding plants and other immobile organisms in dispersal of seeds, spores, pollen, etc. Although wind

9296-572: The monsoon winds to power furnaces as early as 300 BCE . The furnaces were constructed on the path of the monsoon winds to bring the temperatures inside up to 1,200 °C (2,190 °F). A rudimentary windmill was used to power an organ in the first century CE. Windmills were later built in Sistan , Afghanistan , from the 7th century CE. These were vertical-axle windmills, with sails covered in reed matting or cloth material. These windmills were used to grind corn and draw up water, and were used in

9408-411: The most agriculturally productive in the world. Loess deposits are geologically unstable by nature, and will erode very readily. Therefore, windbreaks (such as big trees and bushes) are often planted by farmers to reduce the wind erosion of loess. During mid-summer (July in the northern hemisphere), the westward-moving trade winds south of the northward-moving subtropical ridge expand northwestward from

9520-590: The movement of extratropical cyclones through the Mediterranean. Spring storm systems moving across the eastern Mediterranean Sea cause dust to carry across Egypt and the Arabian Peninsula , which are locally known as Khamsin . The Shamal is caused by cold fronts lifting dust into the atmosphere for days at a time across the Persian Gulf states. Wind dispersal of seeds, or anemochory ,

9632-409: The next. Wind engineering describes the study of the effects of the wind on the built environment, including buildings, bridges and other artificial objects. Models can provide spatial and temporal information about airflow. Spatial information can be obtained through the interpolation of data from various measurement stations, allowing for horizontal data calculation. Alternatively, profiles, such as

9744-504: The northeast in the Northern Hemisphere and from the southeast in the Southern Hemisphere. The trade winds act as the steering flow for tropical cyclones that form over the world's oceans. Trade winds also steer African dust westward across the Atlantic Ocean into the Caribbean, as well as portions of southeast North America. A monsoon is a seasonal prevailing wind that lasts for several months within tropical regions. The term

9856-494: The object is constant. The results of this case are summarized below. These equations apply to a particle moving linearly, in three dimensions in a straight line with constant acceleration . Since the position, velocity, and acceleration are collinear (parallel, and lie on the same line) – only the magnitudes of these vectors are necessary, and because the motion is along a straight line, the problem effectively reduces from three dimensions to one. v =

9968-430: The physical system. The functions are defined in a Euclidean space in classical mechanics , but are replaced by curved spaces in relativity . If the dynamics of a system is known, the equations are the solutions for the differential equations describing the motion of the dynamics. There are two main descriptions of motion: dynamics and kinematics . Dynamics is general, since the momenta, forces and energy of

10080-416: The pressure over the water will be lower than that of the land, establishing a land breeze, as long as an onshore wind is not strong enough to oppose it. Over elevated surfaces, heating of the ground exceeds the heating of the surrounding air at the same altitude above sea level , creating an associated thermal low over the terrain and enhancing any thermal lows that would have otherwise existed, and changing

10192-412: The principle of the parallelogram of forces, but he did not fully recognize its scope. Galileo also was interested by the laws of the pendulum, his first observations of which were as a young man. In 1583, while he was praying in the cathedral at Pisa, his attention was arrested by the motion of the great lamp lighted and left swinging, referencing his own pulse for time keeping. To him the period appeared

10304-407: The quantity of motion of a body undergoing a uniformly accelerated motion is equal to the quantity of a uniform motion at the speed achieved halfway through the accelerated motion. For writers on kinematics before Galileo , since small time intervals could not be measured, the affinity between time and motion was obscure. They used time as a function of distance, and in free fall, greater velocity as

10416-532: The range of transport and warfare, and provided a power source for mechanical work, electricity, and recreation. Wind powers the voyages of sailing ships across Earth's oceans. Hot air balloons use the wind to take short trips, and powered flight uses it to increase lift and reduce fuel consumption. Areas of wind shear caused by various weather phenomena can lead to dangerous situations for aircraft. When winds become strong, trees and human-made structures can be damaged or destroyed. Winds can shape landforms, via

10528-495: The same species on the mainland. Reliance upon wind dispersal is common among many weedy or ruderal species. Unusual mechanisms of wind dispersal include tumbleweeds . A related process to anemochory is anemophily , which is the process where pollen is distributed by wind. Large families of plants are pollinated in this manner, which is favored when individuals of the dominant plant species are spaced closely together. Wind also limits tree growth. On coasts and isolated mountains,

10640-412: The same, even after the motion had greatly diminished, discovering the isochronism of the pendulum. More careful experiments carried out by him later, and described in his Discourses, revealed the period of oscillation varies with the square root of length but is independent of the mass the pendulum. Thus we arrive at René Descartes , Isaac Newton , Gottfried Leibniz , et al.; and the evolved forms of

10752-526: The solstices and the equinoxes of the Sun and the period of the Moon . But they had nothing other than a set of algorithms to guide them. Equations of motion were not written down for another thousand years. Medieval scholars in the thirteenth century — for example at the relatively new universities in Oxford and Paris — drew on ancient mathematicians (Euclid and Archimedes) and philosophers (Aristotle) to develop

10864-498: The spread of wildfires. Winds can disperse seeds from various plants, enabling the survival and dispersal of those plant species, as well as flying insect and bird populations. When combined with cold temperatures, the wind has a negative impact on livestock. Wind affects animals' food stores, as well as their hunting and defensive strategies. The study of wind is called anemology. Wind is caused by differences in atmospheric pressure, which are mainly due to temperature differences. When

10976-407: The surface affect the takeoff and landing phases of flight of a glider . Wind gradient can have a noticeable effect on ground launches , also known as winch launches or wire launches. If the wind gradient is significant or sudden, or both, and the pilot maintains the same pitch attitude, the indicated airspeed will increase, possibly exceeding the maximum ground launch tow speed. The pilot must adjust

11088-410: The system for all times t after t = 0 . Other dynamical variables like the momentum p of the object, or quantities derived from r and p like angular momentum , can be used in place of r as the quantity to solve for from some equation of motion, although the position of the object at time t is by far the most sought-after quantity. Sometimes, the equation will be linear and

11200-515: The theoretical modifications to spacetime meant the classical equations of motion were also modified to account for the finite speed of light , and curvature of spacetime . In all these cases the differential equations were in terms of a function describing the particle's trajectory in terms of space and time coordinates, as influenced by forces or energy transformations. However, the equations of quantum mechanics can also be considered "equations of motion", since they are differential equations of

11312-491: The tree line is often much lower than in corresponding altitudes inland and in larger, more complex mountain systems, because strong winds reduce tree growth. High winds scour away thin soils through erosion, as well as damage limbs and twigs. When high winds knock down or uproot trees, the process is known as windthrow . This is most likely on windward slopes of mountains, with severe cases generally occurring to tree stands that are 75 years or older. Plant varieties near

11424-472: The upper layers of the ocean that elevates cool, nutrient rich waters to the surface, which leads to increased marine life. In mountainous areas, local distortion of the airflow becomes severe. Jagged terrain combines to produce unpredictable flow patterns and turbulence, such as rotors , which can be topped by lenticular clouds . Strong updrafts , downdrafts, and eddies develop as the air flows over hills and down valleys. Orographic precipitation occurs on

11536-410: The warm, equatorial waters and winds to the western coasts of continents, especially in the southern hemisphere because of its vast oceanic expanse. The polar easterlies, also known as Polar Hadley cells, are dry, cold prevailing winds that blow from the high-pressure areas of the polar highs at the north and South Poles towards the low-pressure areas within the Westerlies at high latitudes. Unlike

11648-488: The whole planet or is supposed to last a very large amount of time. The concept is also used in geography , astronomy , and meteorology . These divisions are somewhat arbitrary; where, on this table, mega- is assigned global scope, it may only apply continentally or even regionally in other contexts. The interpretations of meso- and macro- must then be adjusted accordingly. Equations of motion In physics , equations of motion are equations that describe

11760-498: The wind and cold, continuously alternating the members on the outside of the assembled group, which reduces heat loss by 50%. Flying insects , a subset of arthropods , are swept along by the prevailing winds, while birds follow their own course taking advantage of wind conditions, in order to either fly or glide. As such, fine line patterns within weather radar imagery, associated with converging winds, are dominated by insect returns. Bird migration, which tends to occur overnight within

11872-413: The wind circulation of the region. In areas where there is rugged topography that significantly interrupts the environmental wind flow, the wind circulation between mountains and valleys is the most important contributor to the prevailing winds. Hills and valleys substantially distort the airflow by increasing friction between the atmosphere and landmass by acting as a physical block to the flow, deflecting

11984-535: The wind is blowing. The convention for directions refer to where the wind comes from; therefore, a 'western' or 'westerly' wind blows from the west to the east, a 'northern' wind blows south, and so on. This is sometimes counter-intuitive. Short bursts of high speed wind are termed gusts . Strong winds of intermediate duration (around one minute) are termed squalls . Long-duration winds have various names associated with their average strength, such as breeze , gale , storm , and hurricane . In outer space , solar wind

12096-559: The wind parallel to the range just upstream of the topography, which is known as a barrier jet . This barrier jet can increase the low-level wind by 45%. Wind direction also changes because of the contour of the land. If there is a pass in the mountain range, winds will rush through the pass with considerable speed because of the Bernoulli principle that describes an inverse relationship between speed and pressure. The airflow can remain turbulent and erratic for some distance downwind into

12208-552: The wind played a pivotal role, or the favorable winds that enabled William of Orange to invade England in 1688. During Napoleon 's Egyptian Campaign , the French soldiers had a hard time with the khamsin wind: when the storm appeared "as a blood-stint in the distant sky", the Ottomans went to take cover, while the French "did not react until it was too late, then choked and fainted in the blinding, suffocating walls of dust". During

12320-406: The wind sampling average is important, as the value of a one-minute sustained wind is typically 14% greater than a ten-minute sustained wind. A short burst of high speed wind is termed a wind gust ; one technical definition of a wind gust is: the maxima that exceed the lowest wind speed measured during a ten-minute time interval by 10 knots (19 km/h; 12 mph) for periods of seconds. A squall

12432-482: The world of mist. In Norse mythology , Njörðr is the god of the wind. There are also four dvärgar ( Norse dwarves ), named Norðri, Suðri, Austri and Vestri , and probably the four stags of Yggdrasil , personify the four winds, and parallel the four Greek wind gods. Stribog is the name of the Slavic god of winds, sky and air. He is said to be the ancestor (grandfather) of the winds of the eight directions. Kamikaze

12544-704: Was first used in English in India, Bangladesh , Pakistan, and neighboring countries to refer to the big seasonal winds blowing from the Indian Ocean and Arabian Sea in the southwest bringing heavy rainfall to the area. Its poleward progression is accelerated by the development of a heat low over the Asian, African, and North American continents during May through July, and over Australia in December. The Westerlies or

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