Question

Derive an experession for the work done by the torque

Answer 1

Answer:

As the distance ds, the angle of rotation dθ and radius r are related by the expression, ds = rdθ

Explanation:

dw = Fds

As the distance ds, the angle of rotation dθ and radius r are related by the expression,

ds = rdθ

The expression for work done now becomes,

dw = F ds; dw = F r dθ

The term (Fr) is the torque τ produced by the force on the body.

dw = τdθ (5.51)

This expression gives the work done by the external torque τ, which acts on the body rotating about a fixed axis through an angle dθ.

The corresponding expression for work done in translational motion is,

dw = Fds