Question

derive work done by torque

Answer 1

torque=r into F derived work done by torque

Answer 2

Answer:

Work done in the rotational motion of a body which undergoes an angular displacement ∆θ under the action of a tangential force F, is given by

∆W = F × distance along Arc

we know that l = θ × r.

we know that l = θ × r. here, arc length = r∆θ

therefore, ∆W = Fr∆θ

Fr = torque

∆W = τ∆θ

work done by a torque = torque × angular displacement.