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Torque. Angular Speed. Angular speed is represented by ω which is the lower case Greek symbol called omega ω =v/r Centripetal acceleration can also be a c = ( ω r) 2 F c =mr ω 2. r.
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Angular Speed • Angular speed is represented by ω which is the lower case Greek symbol called omega • ω=v/r • Centripetal acceleration can also be • ac= (ωr)2 • Fc=mrω2 r
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
Torque • Torque is represented by τ the lower case Greek letter tau • τ=r F sinΘ
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?
Solution • τ =r FsinΘ • F=τ/(r sinΘ) • F=91 N·m/.19 sin49 • 634 N