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Torque

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Angular Speed Angular speed is represented by ω which is the lower case Greek symbol called omega Angular speed is represented by ω which is the lower case Greek symbol called omega ω=v/r ω=v/r Centripetal acceleration can also be Centripetal acceleration can also be a c = (ωr) 2 a c = (ωr) 2 F c =mrω 2 F c =mrω 2 r

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Torque Lever arm or moment arm is the perpendicular distance from the axis of rotation to the line along which the force acts Lever arm or moment arm is the perpendicular distance from the axis of rotation to the line along which the force acts Torque is the moment of force about the axis or the force times the lever arm Torque is the moment of force about the axis or the force times the lever arm

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Torque Torque is represented by τ the lower case Greek letter tau Torque is represented by τ the lower case Greek letter tau τ=r F sinΘ τ=r F sinΘ

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Example If the torque required to loosen a nut holding a wheel on a car is 91 N·m, what force must be exerted on the end of a.19m lug wrench to loosen the nut when the angle is 49º? If the torque required to loosen a nut holding a wheel on a car is 91 N·m, what force must be exerted on the end of a.19m lug wrench to loosen the nut when the angle is 49º?

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Solution τ =r FsinΘ τ =r FsinΘ F=τ/(r sinΘ) F=τ/(r sinΘ) F=91 N·m/.19 sin49 F=91 N·m/.19 sin49 634 N 634 N

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