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96-427: Lancia traditionally used the design house Pininfarina and had not used Bertone before. Bertone desired to create an opportunity for a relationship with Lancia and knew that Lancia was looking for a replacement for the aging Fulvia for use in rally sports . Bertone decided to design an eye-catching model to show to Lancia. Bertone used the running gear of a Fulvia Coupé which belonged to one of his friends and built

192-534: A debt restructuring that would require the family to sell its stake in the company. The agreement was made after Pininfarina's value dropped 67% during 2008, with a market capitalization of about €36 million. It had total debt of €598 million at the end of November. Of that amount, €555 million was the subject of the debt restructuring agreement that was agreed on with a consortium of banks. Pincar, Pininfarina's family holding company, announced on 24 March 2009 that it had hired investment bank Leonardo & Co. to find

288-534: A force is allowed to act through a distance, it is doing mechanical work . Similarly, if torque is allowed to act through an angular displacement, it is doing work. Mathematically, for rotation about a fixed axis through the center of mass , the work W can be expressed as W = ∫ θ 1 θ 2 τ   d θ , {\displaystyle W=\int _{\theta _{1}}^{\theta _{2}}\tau \ \mathrm {d} \theta ,} where τ

384-644: A 30 million euros fee paid to Pininfarina. On 25 June 2013, the last Volvo C70 was produced and the Uddevalla assembly plant was closed. Although Pininfarina rarely gave credit to individuals, many of the designers of the past have become known. That policy seems to have changed in recent years. As of 2021, Pininfarina had more than 700 employees. Pininfarina designs, manufactures, assembles, and tests prototypes and production vehicles under contract for other automakers. As of 10 December 2011, Pininfarina announced it would end all mass automotive production with

480-530: A 76% stake in the holding company Pincar for 25.3 million euros. The Indian company will offer the same price for the remaining stock. In addition to buying stock, Mahindra will invest 20 million euros in Pininfarina and provide a guarantee to creditors of 114.5 million euros. On 10 December 2011, Pininfarina announced it would end all automotive production. In truth, production ended in November 2010 with

576-404: A French financier, and Ratan Tata , head of India's Tata Group conglomerate, who already announced their plans to invest, would together invest €100 million. Funding would come through the sale of stock to other investors. The Pininfarina family was willing to reduce its share from 55% to 30%, which would still be enough to secure a controlling interest. On 31 December 2008, Pininfarina announced

672-430: A body, a torque can be thought of as a twist applied to an object with respect to a chosen point; for example, driving a screw uses torque, which is applied by the screwdriver rotating around its axis . A force of three newtons applied two metres from the fulcrum, for example, exerts the same torque as a force of one newton applied six metres from the fulcrum. The term torque (from Latin torquēre , 'to twist')

768-511: A buyer for its 50.6% stake in Pininfarina per the debt restructuring agreement reached in December. In a statement released on 15 February 2012, the company said its debt repayment date had been extended to 2018, from 2015. And that the company would take advantage of interest rates "significantly lower than [current] market rates". Pininfarina will remain under the control of the Pininfarina family. Pininfarina also saw its net revenue increase by

864-518: A corporation, Società anonima Carrozzeria Pinin Farina headquartered in Turin, Italy, at 107 Corso Trapani. During the 1930s, the company built bodies for Lancia , Alfa Romeo , Isotta Fraschini , Hispano-Suiza , Fiat , Cadillac , and Rolls-Royce . With its close relationship with Lancia, the pioneer of the monocoque in automobile design, Farina became the first coachbuilder to build bodies for

960-537: A full-sized wind tunnel was completed. The project was started in 1966. When it opened, it was the first wind tunnel with the ability to test full-sized cars in Italy and one of the first in the world with this ability. For example, GM 's full-sized wind tunnel did not open until 1980. The 1980s started a period of expansion for Pininfarina. In 1982, the company opened "Pininfarina Studi e Ricerche" in Cambiano . It

1056-537: A line of outdoor furniture. In April 2008, after three years of serious losses totaling 115 million euros at the end of 2007, Pininfarina made the first of several moves to raise capital and restructure its enormous debt: On 29 April 2008 Pininfarina announced Piero Ferrari , Alberto Bombassei (chairman of Brembo ), and the Marsiaj family (founders of the Sabelt seatbelt company), would join with Vincent Bolloré ,

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1152-431: A million. In 2013 Pininfarina managed a net profit with an operating loss of 8.2 million euros but a net profit of 32.9 million euros from a one-time gain of approximately 45 million euros. Mahindra Group , owner of Indian automobile company Mahindra & Mahindra agreed to buy Italian car designer Pininfarina SpA in a deal worth about 168 million euros. Mahindra group, together with affiliate Tech Mahindra , has

1248-484: A new lease agreement was announced, this new agreement will run from 1 January 2014 until the end of 2016. A joint venture between Pininfarina S.p.A. and Volvo Car Corporation began in 2003. Volvo and Pininfarina S.p.A. have agreed to terminate the joint venture agreement regarding Pininfarina Sverige AB and its operations in Uddevalla , Sweden. As of 31 December 2011, the termination of this agreement would result in

1344-587: A place at the entrance to the exhibition to display the two new creations. The managers of the Grand Palais said of the display, "the devil Pinin Farina", but to the press and the public, it was the successful "Turin coachbuilder's anti-salon". At the end of 1945, the Cisitalia 202 Coupé was designed. An elegantly proportioned design with a low hood, it is the car that usually is given credit for establishing Pinin Farina's reputation. The Pinin Farina design

1440-714: A rent per year for six years renewable. The Grugliasco sale did not include an adjacent structure that houses the wind tunnel. Opened in 1986 to build Cadillac Allante bodies for General Motors, the same year Pininfarina was first listed on the Stock Exchange in Milan. Automotive production ended at San Giorgio with the conclusion of the Ford production in July 2010 and the Alfa Romeo production in November 2010. Following

1536-663: A running model around it. When Bertone himself appeared at the Lancia factory gates with the Stratos Zero he passed underneath the barrier, to great applause from the Lancia workers. After that Lancia and Bertone agreed to develop a new rally car based on the ideas of Bertone's designer Marcello Gandini . Gandini had already designed the Lamborghini Miura and was working on the Countach at the time. Lancia presented

1632-762: A single point particle is: L = r × p {\displaystyle \mathbf {L} =\mathbf {r} \times \mathbf {p} } where p is the particle's linear momentum and r is the position vector from the origin. The time-derivative of this is: d L d t = r × d p d t + d r d t × p . {\displaystyle {\frac {\mathrm {d} \mathbf {L} }{\mathrm {d} t}}=\mathbf {r} \times {\frac {\mathrm {d} \mathbf {p} }{\mathrm {d} t}}+{\frac {\mathrm {d} \mathbf {r} }{\mathrm {d} t}}\times \mathbf {p} .} This result can easily be proven by splitting

1728-620: A talented driver. The last victory of the Stratos was in 1981 , at the Tour de Corse Automobile , another World Rally Championship event, with a victory by longtime Stratos privateer Bernard Darniche . When the Fiat group favoured the Fiat 131 for rallying, Lancia also built two Group 5 turbocharged 'silhouette' Stratos for closed-track endurance racing. The powertrain and aerodynamics were engineered by Nicola Materazzi based on experience gained with

1824-444: A trunk behind it) – as well as the way the door-glass bottom rears curve upward, giving the otherwise frameless doors an upward-swept frame section. In contrast though, the Stratos' body received an unmistakable short and wide wedge shape, so extreme that the nose drops below the top crests of the front wheel wells, and made unique by the semi-elliptical greenhouse's windshield and door glass ensemble, when seen from above. The Stratos

1920-648: Is a general proof for point particles, but it can be generalized to a system of point particles by applying the above proof to each of the point particles and then summing over all the point particles. Similarly, the proof can be generalized to a continuous mass by applying the above proof to each point within the mass, and then integrating over the entire mass. In physics , rotatum is the derivative of torque with respect to time P = d τ d t , {\displaystyle \mathbf {P} ={\frac {\mathrm {d} {\boldsymbol {\tau }}}{\mathrm {d} t}},} where τ

2016-463: Is absolutely up to you." In 1958, upon leaving for a world tour, Farina added, "In my family, we inherit our legacies from live people–not from the dead." In 1961, at 68, "Pinin" Farina formally turned his firm over to his son, Sergio, and his son-in-law, Renzo Carli. The same year, the President of Italy formally authorized the change of Farina's last name to Pininfarina, and the business took on

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2112-459: Is better to use a term which treats this action as a single definite entity than to use terms like " couple " and " moment ", which suggest more complex ideas. The single notion of a twist applied to turn a shaft is better than the more complex notion of applying a linear force (or a pair of forces) with a certain leverage. Today, torque is referred to using different vocabulary depending on geographical location and field of study. This article follows

2208-578: Is claimed to accelerate to 100 km/h in 3.3 seconds and on to a top speed close to 320 km/h (200 mph). While shorter than its donor car, the New Stratos is a little larger than the original Stratos, with a length of 4,181 mm (164.6 in), 1,971 mm (77.6 in) wide and 1,240 mm (48.8 in) tall. There were reports that given sufficient interest a small production run of up to 25 cars could be possible. Ferrari did not consent to this plan, and forbade its suppliers to support

2304-762: Is determined by the right-hand rule. Therefore any force directed parallel to the particle's position vector does not produce a torque. The magnitude of torque applied to a rigid body depends on three quantities: the force applied, the lever arm vector connecting the point about which the torque is being measured to the point of force application, and the angle between the force and lever arm vectors. In symbols: τ = r × F ⟹ τ = r F ⊥ = r F sin ⁡ θ {\displaystyle {\boldsymbol {\tau }}=\mathbf {r} \times \mathbf {F} \implies \tau =rF_{\perp }=rF\sin \theta } where The SI unit for torque

2400-525: Is registered and publicly traded on the Milan Stock Exchange, Borsa Italiana . When automobile designer and builder Battista "Pinin" Farina broke away from his brother's coachbuilding firm, Stabilimenti Farina , in 1928, he founded "Carrozzeria Pinin Farina" with financial help from his wife's family and Vincenzo Lancia . That first year, the firm employed eighteen and built 50 automobile bodies. On 22 May 1930 papers were filed to become

2496-571: Is said to have been suggested by James Thomson and appeared in print in April, 1884. Usage is attested the same year by Silvanus P. Thompson in the first edition of Dynamo-Electric Machinery . Thompson motivates the term as follows: Just as the Newtonian definition of force is that which produces or tends to produce motion (along a line), so torque may be defined as that which produces or tends to produce torsion (around an axis). It

2592-425: Is the moment of inertia of the body and ω is its angular speed . Power is the work per unit time , given by P = τ ⋅ ω , {\displaystyle P={\boldsymbol {\tau }}\cdot {\boldsymbol {\omega }},} where P is power, τ is torque, ω is the angular velocity , and ⋅ {\displaystyle \cdot } represents

2688-405: Is the newton-metre (N⋅m). For more on the units of torque, see § Units . The net torque on a body determines the rate of change of the body's angular momentum , τ = d L d t {\displaystyle {\boldsymbol {\tau }}={\frac {\mathrm {d} \mathbf {L} }{\mathrm {d} t}}} where L is the angular momentum vector and t

2784-410: Is the rotational analogue of linear force . It is also referred to as the moment of force (also abbreviated to moment ). The symbol for torque is typically τ {\displaystyle {\boldsymbol {\tau }}} , the lowercase Greek letter tau . When being referred to as moment of force, it is commonly denoted by M . Just as a linear force is a push or a pull applied to

2880-1748: Is time. For the motion of a point particle, L = I ω , {\displaystyle \mathbf {L} =I{\boldsymbol {\omega }},} where I = m r 2 {\textstyle I=mr^{2}} is the moment of inertia and ω is the orbital angular velocity pseudovector. It follows that τ n e t = I 1 ω 1 ˙ e 1 ^ + I 2 ω 2 ˙ e 2 ^ + I 3 ω 3 ˙ e 3 ^ + I 1 ω 1 d e 1 ^ d t + I 2 ω 2 d e 2 ^ d t + I 3 ω 3 d e 3 ^ d t = I ω ˙ + ω × ( I ω ) {\displaystyle {\boldsymbol {\tau }}_{\mathrm {net} }=I_{1}{\dot {\omega _{1}}}{\hat {\boldsymbol {e_{1}}}}+I_{2}{\dot {\omega _{2}}}{\hat {\boldsymbol {e_{2}}}}+I_{3}{\dot {\omega _{3}}}{\hat {\boldsymbol {e_{3}}}}+I_{1}\omega _{1}{\frac {d{\hat {\boldsymbol {e_{1}}}}}{dt}}+I_{2}\omega _{2}{\frac {d{\hat {\boldsymbol {e_{2}}}}}{dt}}+I_{3}\omega _{3}{\frac {d{\hat {\boldsymbol {e_{3}}}}}{dt}}=I{\boldsymbol {\dot {\omega }}}+{\boldsymbol {\omega }}\times (I{\boldsymbol {\omega }})} using

2976-451: Is torque, and θ 1 and θ 2 represent (respectively) the initial and final angular positions of the body. It follows from the work–energy principle that W also represents the change in the rotational kinetic energy E r of the body, given by E r = 1 2 I ω 2 , {\displaystyle E_{\mathrm {r} }={\tfrac {1}{2}}I\omega ^{2},} where I

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3072-818: Is torque. This word is derived from the Latin word rotātus meaning 'to rotate', but the term rotatum is not universally recognized but is commonly used. There is not a universally accepted lexicon to indicate the successive derivatives of rotatum, even if sometimes various proposals have been made. Using the cross product definition of torque, an alternative expression for rotatum is: P = r × d F d t + d r d t × F . {\displaystyle \mathbf {P} =\mathbf {r} \times {\frac {\mathrm {d} \mathbf {F} }{\mathrm {d} t}}+{\frac {\mathrm {d} \mathbf {r} }{\mathrm {d} t}}\times \mathbf {F} .} Because

3168-506: Is valid for any type of trajectory. In some simple cases like a rotating disc, where only the moment of inertia on rotating axis is, the rotational Newton's second law can be τ = I α {\displaystyle {\boldsymbol {\tau }}=I{\boldsymbol {\alpha }}} where α = ω ˙ {\displaystyle {\boldsymbol {\alpha }}={\dot {\boldsymbol {\omega }}}} . The definition of angular momentum for

3264-624: Is zero because velocity and momentum are parallel, so the second term vanishes. Therefore, torque on a particle is equal to the first derivative of its angular momentum with respect to time. If multiple forces are applied, according Newton's second law it follows that d L d t = r × F n e t = τ n e t . {\displaystyle {\frac {\mathrm {d} \mathbf {L} }{\mathrm {d} t}}=\mathbf {r} \times \mathbf {F} _{\mathrm {net} }={\boldsymbol {\tau }}_{\mathrm {net} }.} This

3360-769: The Cadillac Allanté . The Allanté project led to the building of the San Giorgio factory in 1985. In 1996, Mitsubishi entered into talks for Pininfarina to build their new compact SUV, the Pajero , in Italy. While Mitsubishi recognized Pininfarina's expertise in design and engineering, the reason for choosing them was that manufacturing costs were half of those in Germany. After entering into an agreement in 1996, Pininfarina purchased an industrial site at Bairo Canavese near Turin , Italy. in April 1997, Bairo Canavese

3456-538: The Chivasso plant. Powered by the Dino 2.4 L V6 engine that was also fitted to the rallying versions, but in a lower state of tune, it resulted in a power output of 190 PS; 188 bhp (140 kW) at 7,000 rpm and 226 N⋅m; 166 lbf⋅ft (23 kg⋅m) at 4,000 rpm of torque , giving the road car a 0–100 km/h (62 mph) time of 6.8 seconds, and a top speed of 232 km/h (144 mph). The car

3552-828: The Ferrari Mythos , were concept cars , although several have become production models, including the Ferrari 612 Scaglietti and Ferrari F50 . A recent privately commissioned custom example was the Ferrari P4/5 of 2006, a one-car change to the exterior design of the Enzo Ferrari according to the client's specifications. Its design began in September 2005 with sketches by Jason Castriota moving through computer-aided sculpture and stringent wind tunnel testing. More than 200 components were designed especially for

3648-482: The Fiat 131 Abarths. As well as victories on the 1975 , 1976 and 1977 Monte Carlo Rally , all courtesy of Munari, the Stratos won the event with the private Chardonnet Team as late as 1979 . Without support from Fiat, and despite new regulations that restricted engine power, the car would remain a serious competitor and proved able to beat works cars in several occasions when entered by an experienced private team with

3744-421: The lever's fulcrum (the length of the lever arm ) is its torque. Therefore, torque is defined as the product of the magnitude of the perpendicular component of the force and the distance of the line of action of a force from the point around which it is being determined. In three dimensions, the torque is a pseudovector ; for point particles , it is given by the cross product of the displacement vector and

3840-414: The scalar product . Algebraically, the equation may be rearranged to compute torque for a given angular speed and power output. The power injected by the torque depends only on the instantaneous angular speed – not on whether the angular speed increases, decreases, or remains constant while the torque is being applied (this is equivalent to the linear case where the power injected by a force depends only on

3936-421: The "Commendatore" (a popular nickname for Enzo Ferrari) agreed to deliver the engines for the Stratos, upon which Lancia suddenly received 500 units. The final design shares several striking features with Gandini's Lamborghini Miura: the dual clamshell hoods (the front opening forward, over the spare wheel placed identically, and the rear hinging rearward, with stepped black louvres above the engine and integrating

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4032-555: The 1977 Safari Rally car. The Stratos also gained limited success in 24 Hours of Le Mans , with a car, driven by Christine Dacremont and Lella Lombardi , finishing 20th overall and 2nd in GTP class in 1976 . Another unique Group 5 car is the Lancia Stratos HF of Austrian Rallycross driver Andy Bentza. The car was first driven by his Memphis teammate Franz Wurz, father of Formula One pilot Alexander Wurz . In 1976 Wurz claimed

4128-542: The 2012-17 Ferrari F12berlinetta , the last model entirely penned by Pininfarina, while Centro Stile Ferrari has designed each car since 2013's LaFerrari . From 1954 until 1955, Pinin Farina purchased land in Grugliasco , outside Turin, for a new factory. "The factory in no way would look like the one of Corso Trapani. It would be a car no longer on my measurements but those of my children, built looking like them; I had this in mind and wanted it," said Farina. Around

4224-552: The Alitalia markings on the toy intentionally misspelled as "Alitalla" (presumably to avoid trademark infringement). Earlier samples of the character's toy from Takara's Diaclone toy line (where most of Transformers' character designs came from) were sold with a Marlboro-inspired livery. Pininfarina Pininfarina S.p.A. (short for Carrozzeria Pininfarina ) is an Italian car design firm and coachbuilder , with headquarters in Cambiano, Turin , Italy. The company

4320-610: The Asian market with Chinese manufactures like AviChina , Chery , Changfeng , Brilliance , JAC and VinFast in Vietnam and Korean manufacturers Daewoo and Hyundai . Since the 1980s, Pininfarina has also designed high-speed trains, buses, trams, rolling stocks, automated light rail cars, people movers, yachts, airplanes, and private jets. Since the 1986 creation of "Pininfarina Extra", it has consulted on industrial design, interior design, architecture, and graphic design. Pininfarina

4416-571: The Bertone-designed Lancia Stratos HF prototype at the 1971 Turin Motor Show , a year after the announcement of the Stratos Zero concept car. The prototype Stratos HF (Chassis 1240) was fluorescent red in colour and featured a distinctive crescent-shaped wrap-around windshield providing maximum forward visibility with almost no rear visibility. The prototype had three different engines in its early development life:

4512-464: The Corso Trapani facility, "This old plant has reached the limits of its growth. It has no room for expansion and is far from being up to date. If I were alone, I'd leave it as it is. But I want you to decide which way to go–to stay as we are or to enlarge. Either way is fine with me. It's your decision, and I don't want to know what it is. I'm finished, and it's your time to take over. The future

4608-585: The GT Division title of the ERC. The one and only 3.0 litre Stratos worldwide was raced by Bentza till the end of 1983. After keeping the car for another 30 years Bentza has sold the Stratos to Alexander Wurz. It was fully restored over a period of almost two years and revealed to the public in May 2016, converted back to its 1976 rallycross specification with Memphis livery. The Lancia Stratos Zero (or 0 ) preceded

4704-625: The Giro d'Italia event again before it was shipped to Japan to compete in the Fuji Speedway based Formula Silhouette series, which was never raced. The car would then be sold and reside in the Matsuda Collection before then being sold to a collector of Stratos', Ernst Hrabalek, who had the largest Lancia Stratos Collection in the world at the time, 11 unique Lancia Stratos cars, including the fluorescent red 1971 factory prototype and

4800-538: The Lancia Fulvia engine, the Lancia Beta engine and finally, for the 1971 public launch, the mid-mounted Dino Ferrari V6 producing 190 hp (142 kW) in road trim. The use of this engine had been planned from the beginning of the project, but Enzo Ferrari was reluctant to sign off the use of this engine in a car he saw as a competitor to his own Dino V6 . After the production of the Dino had ended,

4896-539: The Lancia Stratos HF prototype by 12 months and was first shown to the public at the Turin Motor Show in 1970. The futuristic bodywork was designed by Marcello Gandini , head designer at Bertone , and featured a 1.6 L Lancia Fulvia V4 engine. The Lancia Stratos HF Zero was exhibited in Bertone's museum for many years. In 2011, it was sold during an auction in Italy for €761,600. It has been displayed in

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4992-592: The New Stratos was announced in 2010 based on the overall design and concept of the original Stratos and was designed and developed by Pininfarina . The car made use of a Ferrari 430 Scuderia as a donor car, using the chassis (shortened by 200 mm (7.9 in) resulting in a wheelbase of 2,400 mm (94.49 in)) and much of the mechanical elements including the 4.3 L V8 engine (4,308 cm), tuned to generate 540 hp (403 kW) at 8,200 rpm and torque of 519 N⋅m (383 lb⋅ft) at 3,750 rpm. The New Stratos weighs 1,247 kg (2,749 lb) and

5088-500: The Stratos was homologated for the 1974 World Rally Championship season . The Ferrari Dino V6 engine was phased out in 1974, but 500 engines - among the last examples built - were delivered to Lancia. Production ended in 1975, when it was thought that only 492 were made (for the 1976 season, the Group 4 production requirement was reduced to 400 in 24 months). The manufacturer of the car was Bertone in Turin, with final assembly by Lancia at

5184-418: The Stratos was the car to beat in competition and when it did not suffer an accident or premature transmission failure (of the latter there were many) it had great chances to win. The car won the 1974 , 1975 and 1976 championship titles in the hands of Sandro Munari and Björn Waldegård , and might have gone on to win more had not internal politics within the Fiat group placed rallying responsibility on

5280-479: The Studies and Research Centre ( Studi e Ricerche ) in Grugliasco . The research centre occupied 8,000 sq. metres (2 acres) and employed 180 technicians to produce 25 prototypes yearly. The Calculation and Design Centre was set up in 1967, the first step in the process of technological evolution that, during the 1970s, would take Pininfarina into the lead in automated bodywork design. Then in 1972 construction of

5376-753: The United States market. In 1952, Farina visited the U.S. for the unveiling of his design for the Nash Ambassador and Statesman lines, which, although they did carry some details of Pinin Farina's design, were primarily designed by Nash's then-new in-house styling staff when the original Farina-designed model proved unsuited to American tastes, exhibiting a popular 1950s appearance called " ponton ". The Nash-Healey sports car body was, however, completely designed and assembled with Nash drivetrains in limited numbers from 1952 until 1954 at Pinin Farina's Turin facilities. Nash heavily advertised its link to

5472-782: The Volvo P1 platform used in the S40. Pininfarina has helped to plan multi-family residences with Cyrela Real Estate. Related Group, and commercial projects with Bosque Real, Roadside Development, and Higold Group. They were also involved in the building of the Istanbul Airport and Juventus Arena. In 2016 Pininfarina, in collaboration with Reflex, created the Segno furniture Collection; an integrated modular system. They have also collaborated with Italian wood distributor Corà Parquet, to develop wooden flooring surfaces as well as Higold on

5568-721: The above expression for work, , gives W = ∫ s 1 s 2 F ⋅ d θ × r {\displaystyle W=\int _{s_{1}}^{s_{2}}\mathbf {F} \cdot \mathrm {d} {\boldsymbol {\theta }}\times \mathbf {r} } The expression inside the integral is a scalar triple product F ⋅ d θ × r = r × F ⋅ d θ {\displaystyle \mathbf {F} \cdot \mathrm {d} {\boldsymbol {\theta }}\times \mathbf {r} =\mathbf {r} \times \mathbf {F} \cdot \mathrm {d} {\boldsymbol {\theta }}} , but as per

5664-475: The body, which looked like a monolithic sculpture of vigorous and smooth shape. In 2000, Marcello Gandini created a modern interpretation of his Lancia Stratos, commissioned by the Stola of Turin. A concept car that is a two-seater coupe built with Ciba LY 5185, a new material considered more useful than traditional clay. At the 2005 Geneva Auto Show , a British design firm known as Fenomenon, who had rights to

5760-497: The bodywork. A dedicated calculations engineer from Lancia was tasked with performing calculations on many of the chassis, steering, suspension and engine components: Nicola Materazzi. Lancia undertook extensive testing with the Stratos and raced the car in several racing events where Group 5 prototypes were allowed during the 1972 and 1973 seasons. Production of the 500 cars required for homologation in Group 4 commenced in 1973 and

5856-782: The car, including the engine, drivetrain, and other components modified from the original Enzo Ferrari. The Vehicle Identification Number (VIN) is unchanged from the Enzo it was derived from. The P4/5 was publicly revealed on 18 August 2006 at the Pebble Beach Concours d'Elegance and shown again at the Paris Motor Show in late September. Another recent prototype is the Pininfarina Nido , a two-seater sub-compact that could make airbags obsolete. The Pininfarina B0 solar-electric concept, designed with Bolloré

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5952-532: The conclusion of the contract to produce the Alfa Romeo Brera and Spider at the San Giorgio plant. Opened in 1958 with nearly 1,000 employees, by 1960 output exceeded 11,000 car bodies. In 2009 Pininfarina sold the factory to Finpiemonte, the public finance of the Piedmont Region, at the price of 14.4 million euro. Finpiemonte, as part of the deal, leases the plant to Gian Mario Rossignolo at

6048-439: The definition of torque, and since the parameter of integration has been changed from linear displacement to angular displacement, the equation becomes W = ∫ θ 1 θ 2 τ ⋅ d θ {\displaystyle W=\int _{\theta _{1}}^{\theta _{2}}{\boldsymbol {\tau }}\cdot \mathrm {d} {\boldsymbol {\theta }}} If

6144-605: The definition used in US physics in its usage of the word torque . In the UK and in US mechanical engineering , torque is referred to as moment of force , usually shortened to moment . This terminology can be traced back to at least 1811 in Siméon Denis Poisson 's Traité de mécanique . An English translation of Poisson's work appears in 1842. A force applied perpendicularly to a lever multiplied by its distance from

6240-411: The derivative of a vector is d e i ^ d t = ω × e i ^ {\displaystyle {d{\boldsymbol {\hat {e_{i}}}} \over dt}={\boldsymbol {\omega }}\times {\boldsymbol {\hat {e_{i}}}}} This equation is the rotational analogue of Newton's second law for point particles, and

6336-617: The earlier generation. These cars failed against the Porsche 935s on closed tracks but proved successful in hybrid events. Stratos won a record 5 times the Tour de France Automobile between 1973 and 1980, and also the 1974, 1976 and 1978 Giro d'Italia automobilistico , an Italian counterpart of the Tour de France Automobile. One of the cars was destroyed in Zeltweg , when it caught fire due to overheating problems. The last surviving car would win

6432-465: The end of contract manufacturing activities, San Giorgio Canavese is being used to produce spare parts for cars manufactured in the past. Pininfarina opened its third manufacturing plant in 1997. Currently, Pininfarina leases the plant and 57 employees to the Cecomp Group. This agreement to produce 4,000 electric Bolloré Bluecars runs from 1 April 2011 to 31 December 2013. On 13 September 2013

6528-841: The exhibit "Sculpture in Motion: Masterpieces of Italian Design" at the Petersen Automotive Museum in Los Angeles. It was at the High Museum of Art in Atlanta at the "Dream Cars" exhibit in 2014, on loan from the XJ Wang Collection of New York City. The car's body is wedge-shaped and finished in distinctive orange. It is unusually short in length (3.58 m (141 in)) and height (84 cm (33 in)), and it shares little with

6624-462: The famous Italian designer, much as Studebaker promoted its longtime association with Raymond Loewy . As a result of Nash's million advertising campaign, Pinin Farina became well known in the U.S. Pinin Farina also built the bodies for the limited-series Cadillac Eldorado Brougham for General Motors in 1959 and 1960. They were assembled in Italy and shipped back to the U.S. There were 99 Broughams built in 1959 and 101 in 1960. A similar arrangement

6720-527: The first ever European Rallycross title recognised by the FIA with the car, by then still featuring a 2.4 litre engine with first a 12 and later a 24 valve head. For the ERC series of 1977 Wurz was entrusted with an experimental 24 valve engine by Mike Parkes, equipped with a special crankshaft to bring the engine capacity up to just under 3000 cc. For 1978 Bentza took the Stratos over from Wurz, sold his own 2.4 L 12V Stratos to compatriot Reneé Vontsina, and won

6816-454: The force vector. The direction of the torque can be determined by using the right hand grip rule : if the fingers of the right hand are curled from the direction of the lever arm to the direction of the force, then the thumb points in the direction of the torque. It follows that the torque vector is perpendicular to both the position and force vectors and defines the plane in which the two vectors lie. The resulting torque vector direction

6912-497: The importer for the United States, said he could sell as many as they could make. In 1958, the first year of production, they produced 1,025 units, which then expanded to over 4,000 units in 1959, the first full year of the new Grugliasco factory. Starting with planning the new plant in Grugliasco in 1956, Farina began to groom his replacements–Sergio, his son, and Renzo Carli, his son-in-law. To his heirs apparent, Farina said of

7008-568: The infinitesimal linear displacement d s {\displaystyle \mathrm {d} \mathbf {s} } is related to a corresponding angular displacement d θ {\displaystyle \mathrm {d} {\boldsymbol {\theta }}} and the radius vector r {\displaystyle \mathbf {r} } as d s = d θ × r {\displaystyle \mathrm {d} \mathbf {s} =\mathrm {d} {\boldsymbol {\theta }}\times \mathbf {r} } Substitution in

7104-586: The instantaneous speed – not on the resulting acceleration, if any). The work done by a variable force acting over a finite linear displacement s {\displaystyle s} is given by integrating the force with respect to an elemental linear displacement d s {\displaystyle \mathrm {d} \mathbf {s} } W = ∫ s 1 s 2 F ⋅ d s {\displaystyle W=\int _{s_{1}}^{s_{2}}\mathbf {F} \cdot \mathrm {d} \mathbf {s} } However,

7200-508: The name, exhibited a retromodern concept version of the Stratos, designed by Chris Hrabalek and following its exhibition at the Frankfurt show, developed by Prodrive . The concept was based around a mid-mounted 419 hp (312 kW) V8 engine. Following the stalled Fenomenon project, one interested backer funded a one-off model. Commissioned by Michael Stoschek (a keen rally driver and chairman of Brose Group) and his son, Maximilian,

7296-473: The new technique also known as unibody construction. This development happened in the mid-1930s when others saw the frameless construction as the end of the independent coachbuilder. In 1939, World War II ended automobile production, but the company had 400 employees building 150 bodies monthly. The war effort against the Allies brought work making ambulances and searchlight carriages. The Pinin Farina factory

7392-587: The production version. The Zero appeared in Michael Jackson 's 1988 film Moonwalker . In 1978, Bertone created and designed a concept car based on the Stratos called the Sibilo . It was conceived as a futuristic two-seater coupè on the chassis of the Lancia Stratos, the wheelbase of which was lengthened from 2160 to 2280mm. The car's glass surfaces seemed almost integrated into the volumes of

7488-520: The project. However, on 10 February 2018, Italian coachbuilding firm Manifattura Automobili Torino of Paolo Garella announced that it would be commencing with the production of the originally planned 25 cars. The Autobot character Wheeljack from the Transformers franchise transforms into an Alitalia -sponsored Stratos in the Generation 1 toy line and its cartoon adaptation , albeit with

7584-528: The rate of change of force is yank Y {\textstyle \mathbf {Y} } and the rate of change of position is velocity v {\textstyle \mathbf {v} } , the expression can be further simplified to: P = r × Y + v × F . {\displaystyle \mathbf {P} =\mathbf {r} \times \mathbf {Y} +\mathbf {v} \times \mathbf {F} .} The law of conservation of energy can also be used to understand torque. If

7680-567: The sale of its 40% stake in the Uddevalla, Sweden plant to Volvo in 2013. In the past, Pininfarina produced cars and car bodies under contract from other automakers. This production includes Pininfarina-designed cars and vehicles designed by others. Before the war Pininfarina built car bodies primarily for individual customers, many of the bodies were "one offs" and not mass-produced. In addition to production vehicles , Pininfarina creates prototype , show , and custom cars for auto manufacturers , as well as private clients. Most prototypes—such as

7776-411: The same name. Pininfarina was run by Battista's grandson Andrea Pininfarina from 2001 until he died in 2008. Andrea's younger brother Paolo Pininfarina was appointed successor. Paolo died in April 2024. Starting in the mid-1960s, Pininfarina started investing in the science of automotive design, a strategy to differentiate itself from the other Italian coachbuilders. In 1966, Pininfarina opened

7872-456: The same time, Alfa Romeo accepted Pininfarina's design over Bertone for the new Giulietta Spider . The Alfa was the first vehicle that Pinin Farina produced in large numbers. Alfa Romeo chose Pinin Farina to make the Spider mainly because they felt confident they could produce 20 cars daily for a run of 1,000 bodies. The Spider was a massive success for Alfa Romeo and Pinin Farina. Max Hoffman ,

7968-875: The torque and the angular displacement are in the same direction, then the scalar product reduces to a product of magnitudes; i.e., τ ⋅ d θ = | τ | | d θ | cos ⁡ 0 = τ d θ {\displaystyle {\boldsymbol {\tau }}\cdot \mathrm {d} {\boldsymbol {\theta }}=\left|{\boldsymbol {\tau }}\right|\left|\mathrm {d} {\boldsymbol {\theta }}\right|\cos 0=\tau \,\mathrm {d} \theta } giving W = ∫ θ 1 θ 2 τ d θ {\displaystyle W=\int _{\theta _{1}}^{\theta _{2}}\tau \,\mathrm {d} \theta } The principle of moments, also known as Varignon's theorem (not to be confused with

8064-733: The vectors into components and applying the product rule . But because the rate of change of linear momentum is force F {\textstyle \mathbf {F} } and the rate of change of position is velocity v {\textstyle \mathbf {v} } , d L d t = r × F + v × p {\displaystyle {\frac {\mathrm {d} \mathbf {L} }{\mathrm {d} t}}=\mathbf {r} \times \mathbf {F} +\mathbf {v} \times \mathbf {p} } The cross product of momentum p {\displaystyle \mathbf {p} } with its associated velocity v {\displaystyle \mathbf {v} }

8160-442: Was a successful rally car during the 1970s and early 1980s. It started a new era in rallying as it was the first car designed from scratch for this kind of competition. The three leading men behind the entire rallying project were Lancia team manager Cesare Fiorio , British racer/engineer Mike Parkes and factory rally driver Sandro Munari , with Bertone's Designer Marcello Gandini taking a personal interest in designing and producing

8256-435: Was chosen because neither Farina nor Enzo Ferrari wanted to meet at the other's headquarters. Battista's son, Sergio Pininfarina recalled, "It is not difficult to imagine how I felt that afternoon when my father, without taking his eyes off the road for one moment, told me his decision as we drove back to Turin: "From now on you'll be looking after Ferrari, from A to Z. Design, engineering, technology, construction—the lot!"—I

8352-477: Was dedicated to the production of the new Mitsubishi Pajero Pinin. Pininfarina Sverige AB in Uddevalla, Sweden, was established in 2003 as a joint venture (JV) between Volvo Cars and Pininfarina to produce a new Volvo convertible that will be sold in Europe and the United States. The JV is owned 60% by Pininfarina and 40% by Volvo. The C70 model designed by Volvo's John Kinsey—was launched on 13 April 2006, sharing

8448-480: Was destroyed by Allied bombers, ending the firm's operations. After the war, Italy was banned in 1946 Paris Motor Show . The Paris show was attended by 809,000 visitors (twice the pre-war figure), and queues stretched from the main gate to the Seine. Pinin Farina and his son Sergio, determined to defy the ban, drove two of their cars (an Alfa Romeo 6C 2500 S and a Lancia Aprilia cabriolet) from Turin to Paris and found

8544-482: Was founded by Battista "Pinin" Farina in 1930. On 14 December 2015, the Indian multinational Mahindra Group acquired 76.06% of Pininfarina S.p.A. for about €168 million. Pininfarina is employed by a wide variety of automobile manufacturers to design vehicles. These firms have included long-established customers such as Ferrari , Alfa Romeo , Peugeot , Fiat , GM , Lancia , and Maserati , to emerging companies in

8640-518: Was honored in the Museum of Modern Art's landmark presentation "Eight Automobiles" in 1951. A total of 170 Coupés were produced by Pinin Farina. The publicity of the Museum of Modern Art exhibit brought Pinin Farina to the attention of Nash-Kelvinator managers. The subsequent cooperation with Nash Motors resulted in high-volume production of Pinin Farina designs and provided a significant entry into

8736-522: Was over the moon with happiness." Since that meeting, a 61-year relationship endured where the only road-going production Ferrari not designed by Pininfarina was the 1973 Dino 308 GT4 . Their relationship was so close that Pininfarina became a partner of Ferrari in "Scuderia Ferrari SpA SEFAC", the organization that ran Ferrari's race team from 1961 until 1989, Pinin was a vice president of Ferrari, and Sergio later sat on Ferrari's board of directors. However, this special relationship came to an end with

8832-631: Was repeated in the late 1980s when Pininfarina designed (and partially assembled) the Cadillac Allanté at the San Giusto Canavese factory. The car bodies were assembled and painted in Italy before being flown from the Turin International Airport to Detroit for final vehicle assembly. It started in 1951 with a meeting at a restaurant in Tortona , a small town halfway between Turin and Modena. This neutral territory

8928-527: Was run by Battista's son Sergio Pininfarina until 2001, then his grandson Andrea Pininfarina until he died in 2008. After Andrea's death, his younger brother Paolo Pininfarina was appointed CEO. At its height in 2006, the Pininfarina Group employed 2,768 people, with subsidiary company offices throughout Europe, Morocco, and the United States. As of 2012, with the end of the automotive production series, employment has shrunk to 821. Pininfarina

9024-464: Was separate from the factory and wind tunnel in Grugliasco to keep design and research activities independent from manufacturing. On 14 October 2002, Pininfarina inaugurated a new engineering center. The new facility, built at the Cambiano campus, gave greater visibility and independence to the engineering operations. In 1983, Pininfarina reached an agreement with General Motors to design and build

9120-470: Was shown at the 2008 Paris Motor Show featuring a range between charges of more than 150 miles (241 km) with an electronically limited 88-mile-per-hour (142 km/h) top speed, and an estimated acceleration to 37 miles per hour (60 km/h) in 6.3 seconds. The car has solar panels on the roof and the nose, while its battery pack is said to last up to 125,000 miles (201,168 km). Torque#Machine torque In physics and mechanics , torque

9216-587: Was sold as the Lancia Stratos HF Stradale. The Stratos weighed between 900 and 950 kilograms, depending on configuration. Power output was around 275 hp (205 kW) for the original 12 valve version and 320 hp (239 kW) for the 24 valve version. Beginning with the 1978 season the 24 valve heads were banned from group 4 competition by a change to the FIA rules (which would have required additional production of 24-valve cars for re-homologation). Even with this perceived power deficit

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