TorqueTorque

Angular SpeedAngular Speed

Angular speed is represented by Angular speed is represented by ωω which which is the lower case Greek symbol called is the lower case Greek symbol called omegaomega

ωω=v/r=v/rCentripetal acceleration can also beCentripetal acceleration can also beaacc= = ((ωωr)r)22

FFcc=mr=mrωω22

r

TorqueTorque

Lever arm or moment Lever arm or moment arm is the arm is the perpendicular perpendicular distance from the axis distance from the axis of rotation to the line of rotation to the line along which the force along which the force actsacts

Torque is the moment Torque is the moment of force about the axis of force about the axis or the force times the or the force times the lever armlever arm

TorqueTorque

Torque is represented by Torque is represented by ττ the lower case the lower case Greek letter tauGreek letter tau

ττ=r F sin=r F sinΘΘ

ExampleExample

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

SolutionSolution

τ τ =r Fsin=r FsinΘΘ F=F=ττ/(r sin/(r sinΘΘ))F=91 F=91 NN·m/.19 sin49·m/.19 sin49634 N634 N