Torque

Definition The tendency of a force applied to an object to cause rotation about an axis.

F r Factors affecting the Torque

F r Torque is a product of the moment arm (r) and the force F

 = r F sin 

F r  F

r  F sin90 = 1

Moment of Inertia A property of an object that depends on the distribution of mass about the axis of rotation. Mass close to the axis of rotation = smaller moment of inertia Mass at a distance from the axis of rotation = larger moment of inertia

 I 

r = 1.5 m F = 100 N  = 32 o  = 10 kgm 2  = ? θ

r = 0.25 F = 100 N I = 20 kgm 2 What is v at the edge of the wheel after 2 seconds? v i = 0 R = 0.75m

Note, foot speed is only