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53-603: Astro Wheel , Astro Wheels , or AstroWheel may refer to: Amusement rides [ edit ] Astro Wheel (Chance Rides) , a 1967 Ferris wheel AstroWheel (Great Escape) , a 1969 attraction in Queensbury, New York AstroWheel (Six Flags AstroWorld) , a 1968 double Ferris wheel in Houston, Texas People [ edit ] Astro Wheels , an alias of American astronaut Douglas Harry "Wheels" Wheelock Topics referred to by

106-425: A right section . If a right section of a cylinder is a circle then the cylinder is a circular cylinder. In more generality, if a right section of a cylinder is a conic section (parabola, ellipse, hyperbola) then the solid cylinder is said to be parabolic, elliptic and hyperbolic, respectively. For a right circular cylinder, there are several ways in which planes can meet a cylinder. First, planes that intersect

159-404: A base in at most one point. A plane is tangent to the cylinder if it meets the cylinder in a single element. The right sections are circles and all other planes intersect the cylindrical surface in an ellipse . If a plane intersects a base of the cylinder in exactly two points then the line segment joining these points is part of the cylindric section. If such a plane contains two elements, it has

212-425: A common integration technique for finding volumes of solids of revolution. In the treatise by this name, written c.  225 BCE , Archimedes obtained the result of which he was most proud, namely obtaining the formulas for the volume and surface area of a sphere by exploiting the relationship between a sphere and its circumscribed right circular cylinder of the same height and diameter . The sphere has

265-438: A cylinder are congruent figures. If the elements of the cylinder are perpendicular to the planes containing the bases, the cylinder is a right cylinder , otherwise it is called an oblique cylinder . If the bases are disks (regions whose boundary is a circle ) the cylinder is called a circular cylinder . In some elementary treatments, a cylinder always means a circular cylinder. The height (or altitude) of

318-403: A cylinder is the perpendicular distance between its bases. The cylinder obtained by rotating a line segment about a fixed line that it is parallel to is a cylinder of revolution . A cylinder of revolution is a right circular cylinder. The height of a cylinder of revolution is the length of the generating line segment. The line that the segment is revolved about is called the axis of

371-403: A cylinder's surface with a plane . They are, in general, curves and are special types of plane sections . The cylindric section by a plane that contains two elements of a cylinder is a parallelogram . Such a cylindric section of a right cylinder is a rectangle . A cylindric section in which the intersecting plane intersects and is perpendicular to all the elements of the cylinder is called

424-412: A cylindrical surface and two parallel planes is called a (solid) cylinder . The line segments determined by an element of the cylindrical surface between the two parallel planes is called an element of the cylinder . All the elements of a cylinder have equal lengths. The region bounded by the cylindrical surface in either of the parallel planes is called a base of the cylinder. The two bases of

477-651: A permanent park. In 1998 Chance introduced the Big Dipper children's coaster. With the integration of the D. H. Morgan line into Chance Rides in 2001, the company acquired track manufacturing technology and the ability to offer a variety of coaster designs. D. H. Morgan was an offshoot of Arrow Development , original developer of tubular steel track, first used on Disney's Matterhorn Bobsleds attraction. In 2006, Chance formed an alliance with Vekoma . Chance Rides represented Vekoma in North America and manufactured

530-407: A plane not parallel to the given line. Such cylinders have, at times, been referred to as generalized cylinders . Through each point of a generalized cylinder there passes a unique line that is contained in the cylinder. Thus, this definition may be rephrased to say that a cylinder is any ruled surface spanned by a one-parameter family of parallel lines. A cylinder having a right section that

583-405: A rectangle as a cylindric section, otherwise the sides of the cylindric section are portions of an ellipse. Finally, if a plane contains more than two points of a base, it contains the entire base and the cylindric section is a circle. In the case of a right circular cylinder with a cylindric section that is an ellipse, the eccentricity e of the cylindric section and semi-major axis a of

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636-461: A ride manufacturer specialized in children's rides and carousel figures. For several years, Chance Rides Manufacturing products were sold under the brand Chance Morgan . In 2011, the company reintroduced the Chance Rides brand which encompasses Chance Morgan Coasters, Inc. and Chance Rides Manufacturing. On September 17, 2011, trade publication Amusement Today presented Chance Rides with

689-399: A right cylinder, is more generally given by L = e × p , {\displaystyle L=e\times p,} where e is the length of an element and p is the perimeter of a right section of the cylinder. This produces the previous formula for lateral area when the cylinder is a right circular cylinder. A right circular hollow cylinder (or cylindrical shell )

742-409: A single real line (actually a coincident pair of lines), or only at the vertex. These cases give rise to the hyperbolic, parabolic or elliptic cylinders respectively. This concept is useful when considering degenerate conics , which may include the cylindrical conics. A solid circular cylinder can be seen as the limiting case of a n -gonal prism where n approaches infinity . The connection

795-542: A single real point.) If A and B have different signs and ρ ≠ 0 {\displaystyle \rho \neq 0} , we obtain the hyperbolic cylinders , whose equations may be rewritten as: ( x a ) 2 − ( y b ) 2 = 1. {\displaystyle \left({\frac {x}{a}}\right)^{2}-\left({\frac {y}{b}}\right)^{2}=1.} Finally, if AB = 0 assume, without loss of generality , that B = 0 and A = 1 to obtain

848-559: A trademark of Chance Rides carrousels. The first Ferris wheel from Chance, the Astro Wheel, was sold to showman Don Franklin and debuted at the 1967 Iowa State Fair . It featured 16 cars with two passengers per car. The first park model, an 80-foot Giant Wheel, was built in 1975 at Valleyfair amusement park in Minnesota. It features 18 cars holding four passengers per car and is still in operation. The Giant Wheel/Century Wheel

901-707: A variety of ways. Chance Carrousels (deliberately spelled with two "R"s) were introduced in 1971 following the acquisition of the Allan Herschell Company the previous year. Chance modified the Herschell design giving it a more ornate style. After Chance purchased Bradley & Kaye in December 1986, Chance was able to use the molds and manufacturing rights to 62 carousel figures produced by Bradley & Kaye owner, David Bradley. He had carefully reproduced prized carousel animals from famous carvers over

954-411: A volume two-thirds that of the circumscribed cylinder and a surface area two-thirds that of the cylinder (including the bases). Since the values for the cylinder were already known, he obtained, for the first time, the corresponding values for the sphere. The volume of a sphere of radius r is ⁠ 4 / 3 ⁠ π r = ⁠ 2 / 3 ⁠ (2 π r ) . The surface area of this sphere

1007-421: Is 4 π r = ⁠ 2 / 3 ⁠ (6 π r ) . A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request. In some areas of geometry and topology the term cylinder refers to what has been called a cylindrical surface . A cylinder is defined as a surface consisting of all the points on all the lines which are parallel to a given line and which pass through a fixed plane curve in

1060-761: Is a generalization of the equation of the ordinary, circular cylinder ( a = b ). Elliptic cylinders are also known as cylindroids , but that name is ambiguous, as it can also refer to the Plücker conoid . If ρ {\displaystyle \rho } has a different sign than the coefficients, we obtain the imaginary elliptic cylinders : ( x a ) 2 + ( y b ) 2 = − 1 , {\displaystyle \left({\frac {x}{a}}\right)^{2}+\left({\frac {y}{b}}\right)^{2}=-1,} which have no real points on them. ( ρ = 0 {\displaystyle \rho =0} gives

1113-613: Is a three-dimensional region bounded by two right circular cylinders having the same axis and two parallel annular bases perpendicular to the cylinders' common axis, as in the diagram. Let the height be h , internal radius r , and external radius R . The volume is given by V = π ( R 2 − r 2 ) h = 2 π ( R + r 2 ) h ( R − r ) . {\displaystyle V=\pi \left(R^{2}-r^{2}\right)h=2\pi \left({\frac {R+r}{2}}\right)h(R-r).} Thus,

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1166-638: Is an ellipse , parabola , or hyperbola is called an elliptic cylinder , parabolic cylinder and hyperbolic cylinder , respectively. These are degenerate quadric surfaces . When the principal axes of a quadric are aligned with the reference frame (always possible for a quadric), a general equation of the quadric in three dimensions is given by f ( x , y , z ) = A x 2 + B y 2 + C z 2 + D x + E y + G z + H = 0 , {\displaystyle f(x,y,z)=Ax^{2}+By^{2}+Cz^{2}+Dx+Ey+Gz+H=0,} with

1219-616: Is being offered. Its drive wheels are not powered, but roll on the rails while fake side rods reciprocate in and out of fake cylinders . Power is instead provided by the front and rear trucks . With more than 400 examples built as of 2022, the C. P. Huntington has become the most popular park train since the Allan Herschell Company merged into Chance Industries in 1970 and production of the S-24 Iron Horse train ceased. Locomotives and coaches can be customized in

1272-503: Is different from Wikidata All article disambiguation pages All disambiguation pages Astro Wheel (Chance Rides) Chance Rides is a roller coaster and amusement ride manufacturer. Originally founded in 1961, the current company was formed on May 16, 2002, when the former Chance Industries Inc. emerged from bankruptcy. The main office and manufacturing facility are located in Wichita, Kansas . Chance Manufacturing

1325-425: Is the diameter of the circular top or bottom. For a given volume, the right circular cylinder with the smallest surface area has h = 2 r . Equivalently, for a given surface area, the right circular cylinder with the largest volume has h = 2 r , that is, the cylinder fits snugly in a cube of side length = altitude ( = diameter of base circle). The lateral area, L , of a circular cylinder, which need not be

1378-452: Is the company's most successful product line. In 1967, Chance began producing Starliner Trams under the subsidiary Chance Coach. In 1970, Chance acquired the assets of the Allan Herschell Company . Richard G. Chance (Dick Chance) assumed control of the company and formed Chance Industries, Inc. in 1985 to oversee the various divisions – Chance Rides, Chance Coach, and Chance Operations. In December 1986, Chance then acquired Bradley & Kaye,

1431-641: Is the equation of an elliptic cylinder . Further simplification can be obtained by translation of axes and scalar multiplication. If ρ {\displaystyle \rho } has the same sign as the coefficients A and B , then the equation of an elliptic cylinder may be rewritten in Cartesian coordinates as: ( x a ) 2 + ( y b ) 2 = 1. {\displaystyle \left({\frac {x}{a}}\right)^{2}+\left({\frac {y}{b}}\right)^{2}=1.} This equation of an elliptic cylinder

1484-426: Is the only type of geometric figure for which this technique works with the use of only elementary considerations (no appeal to calculus or more advanced mathematics). Terminology about prisms and cylinders is identical. Thus, for example, since a truncated prism is a prism whose bases do not lie in parallel planes, a solid cylinder whose bases do not lie in parallel planes would be called a truncated cylinder . From

1537-408: Is the product of the area of a base and the height. For example, an elliptic cylinder with a base having semi-major axis a , semi-minor axis b and height h has a volume V = Ah , where A is the area of the base ellipse (= π ab ). This result for right elliptic cylinders can also be obtained by integration, where the axis of the cylinder is taken as the positive x -axis and A ( x ) = A

1590-407: Is very strong and many older texts treat prisms and cylinders simultaneously. Formulas for surface area and volume are derived from the corresponding formulas for prisms by using inscribed and circumscribed prisms and then letting the number of sides of the prism increase without bound. One reason for the early emphasis (and sometimes exclusive treatment) on circular cylinders is that a circular base

1643-409: The parabolic cylinders with equations that can be written as: x 2 + 2 a y = 0. {\displaystyle x^{2}+2ay=0.} In projective geometry , a cylinder is simply a cone whose apex (vertex) lies on the plane at infinity . If the cone is a quadratic cone, the plane at infinity (which passes through the vertex) can intersect the cone at two real lines,

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1696-416: The solid of revolution generated by rotating a rectangle about one of its sides. These cylinders are used in an integration technique (the "disk method") for obtaining volumes of solids of revolution. A tall and thin needle cylinder has a height much greater than its diameter, whereas a short and wide disk cylinder has a diameter much greater than its height. A cylindric section is the intersection of

1749-489: The surface area of a right circular cylinder, oriented so that its axis is vertical, consists of three parts: The area of the top and bottom bases is the same, and is called the base area , B . The area of the side is known as the lateral area , L . An open cylinder does not include either top or bottom elements, and therefore has surface area (lateral area) L = 2 π r h {\displaystyle L=2\pi rh} The surface area of

1802-404: The 1913 text Plane and Solid Geometry by George A. Wentworth and David Eugene Smith ( Wentworth & Smith 1913 ). A cylindrical surface is a surface consisting of all the points on all the lines which are parallel to a given line and which pass through a fixed plane curve in a plane not parallel to the given line. Any line in this family of parallel lines is called an element of

1855-527: The Golden Ticket Award for Supplier of the Year, in honor of the company's 50th anniversary. In 2023, Chance Rides was sold to Missouri-based private equity firm Permanent Equity. Chance Rides began to fabricate their 2 ft narrow gauge C. P. Huntington locomotive in 1961. These locomotives can be powered by gasoline, diesel, propane or electric engines; as of 2024, only the electric model

1908-453: The area of each elliptic cross-section, thus: V = ∫ 0 h A ( x ) d x = ∫ 0 h π a b d x = π a b ∫ 0 h d x = π a b h . {\displaystyle V=\int _{0}^{h}A(x)dx=\int _{0}^{h}\pi abdx=\pi ab\int _{0}^{h}dx=\pi abh.} Using cylindrical coordinates ,

1961-424: The base of a circular cylinder has a radius r and the cylinder has height h , then its volume is given by V = π r 2 h {\displaystyle V=\pi r^{2}h} This formula holds whether or not the cylinder is a right cylinder. This formula may be established by using Cavalieri's principle . In more generality, by the same principle, the volume of any cylinder

2014-440: The basic meaning—solid versus surface (as in a solid ball versus sphere surface)—has created some ambiguity with terminology. The two concepts may be distinguished by referring to solid cylinders and cylindrical surfaces . In the literature the unadorned term cylinder could refer to either of these or to an even more specialized object, the right circular cylinder . The definitions and results in this section are taken from

2067-904: The coefficients being real numbers and not all of A , B and C being 0. If at least one variable does not appear in the equation, then the quadric is degenerate. If one variable is missing, we may assume by an appropriate rotation of axes that the variable z does not appear and the general equation of this type of degenerate quadric can be written as A ( x + D 2 A ) 2 + B ( y + E 2 B ) 2 = ρ , {\displaystyle A\left(x+{\frac {D}{2A}}\right)^{2}+B\left(y+{\frac {E}{2B}}\right)^{2}=\rho ,} where ρ = − H + D 2 4 A + E 2 4 B . {\displaystyle \rho =-H+{\frac {D^{2}}{4A}}+{\frac {E^{2}}{4B}}.} If AB > 0 this

2120-479: The cylinder and it passes through the centers of the two bases. The bare term cylinder often refers to a solid cylinder with circular ends perpendicular to the axis, that is, a right circular cylinder, as shown in the figure. The cylindrical surface without the ends is called an open cylinder . The formulae for the surface area and the volume of a right circular cylinder have been known from early antiquity. A right circular cylinder can also be thought of as

2173-437: The cylindric section depend on the radius of the cylinder r and the angle α between the secant plane and cylinder axis, in the following way: e = cos ⁡ α , a = r sin ⁡ α . {\displaystyle {\begin{aligned}e&=\cos \alpha ,\\[1ex]a&={\frac {r}{\sin \alpha }}.\end{aligned}}} If

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2226-399: The cylindrical surface. From a kinematics point of view, given a plane curve, called the directrix , a cylindrical surface is that surface traced out by a line, called the generatrix , not in the plane of the directrix, moving parallel to itself and always passing through the directrix. Any particular position of the generatrix is an element of the cylindrical surface. A solid bounded by

2279-615: The larger wheels are known as observation wheels as opposed to Ferris wheels, since they carry riders in enclosed cars rather than in open seats. On October 19, 2012, Chance Rides announced a long term license agreement with Bussink Design GmbH for the exclusive rights to manufacture and sell the R80XL Giant Wheel in North America. Chance Rides will market the R80XL, which is over 250 ft (76 m) tall, under an affiliate company, Chance American Wheels. The first R80XL wheel

2332-536: The previous 20 years and new molds were cast at the Chance facility under his direction, until Bradley died in 1988. These famous reproductions with spectacular detail have been included on Chance carrousels since the late 1980s. With the merger of the D. H. Morgan line of carousels, some of the unique Morgan figures have been added to the collection as well. Although fiberglass, the magnificent detail and menagerie of different styles of horses and other figures have become

2385-418: The same term [REDACTED] This disambiguation page lists articles associated with the title Astro Wheel . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Astro_Wheel&oldid=883365371 " Category : Disambiguation pages Hidden categories: Short description

2438-438: The solid right circular cylinder is made up the sum of all three components: top, bottom and side. Its surface area is therefore A = L + 2 B = 2 π r h + 2 π r 2 = 2 π r ( h + r ) = π d ( r + h ) {\displaystyle A=L+2B=2\pi rh+2\pi r^{2}=2\pi r(h+r)=\pi d(r+h)} where d = 2 r

2491-466: The steel track for select projects. On October 17, 2012 Chance Rides and Vekoma discontinued their agreement to produce rides together for the North American market. As of 2023, Chance Rides has built 44 roller coasters around the world. Cylinder A cylinder may also be defined as an infinite curvilinear surface in various modern branches of geometry and topology . The shift in

2544-477: The volume of a cylindrical shell equals 2 π  ×   average radius ×   altitude ×  thickness. The surface area, including the top and bottom, is given by A = 2 π ( R + r ) h + 2 π ( R 2 − r 2 ) . {\displaystyle A=2\pi \left(R+r\right)h+2\pi \left(R^{2}-r^{2}\right).} Cylindrical shells are used in

2597-554: The volume of a right circular cylinder can be calculated by integration V = ∫ 0 h ∫ 0 2 π ∫ 0 r s d s d ϕ d z = π r 2 h . {\displaystyle {\begin{aligned}V&=\int _{0}^{h}\int _{0}^{2\pi }\int _{0}^{r}s\,\,ds\,d\phi \,dz\\[5mu]&=\pi \,r^{2}\,h.\end{aligned}}} Having radius r and altitude (height) h ,

2650-564: Was incorporated in 1961 by Richard H. (Harold) Chance. Harold Chance had been involved in the amusement business since 1946, building small trains for the Ottaway Amusement Company. He designed a 2 ft ( 610 mm ) narrow gauge replica of the C. P. Huntington , a well-known steam locomotive built in 1863 for the Central Pacific Railroad . Titled by the same name, Chance's C. P. Huntington

2703-491: Was introduced in various sizes in both park and portable models in 1988. In 2006, Chance worked with Ronald Bussink Professional Rides of Switzerland and Dutch Wheels BV, a division of Vekoma Rides, to produce larger wheels such as the Niagara SkyWheel which stands 53.3 m (175 ft) tall. It features 42 air-conditioned cars seating eight passengers per car. According to Chance Rides director Angus Jenkins,

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2756-622: Was manufactured by Maurer German Wheels in Munich, Germany, and was delivered to the city early in 2013. The first U.S. version built by Chance was the Capital Wheel at the National Harbor , Md. It opened May 23, 2014. Chance Rides/Chance American Wheels will continue to manufacturer and sell R60 wheels in North America under an exclusive license from Dutch Wheels BV. Notable wheels include: Chance Manufacturing's first coaster

2809-564: Was the Toboggan, a portable ride in which a small vehicle climbed vertically up a tower then spiraled back down around the same tower. The ride was invented by Walter House of Amarillo, Texas, and Chance acquired the manufacturing rights and started producing it in 1969. It was designed to be a carnival ride, fitting on two trailers, but several units were purchased by amusement parks where they were set up as permanent attractions. Chance manufactured 32 of these units, two of which still operate at

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