Question

Derive an expression for the kinetic energy of a body rotating with uniform angular speed

Answer 1

Suppose a body of mass m is moving with a constant velocity v. It is brought to rest by applying a constant opposing force F. Let a be the uniform retardation produced by the opposing force and the body travels a distance S before coming to rest. Then,

F=ma........... (1)

K=F×S.......... (2)

Now to calculate displacement S, we have

initial velocity (u) =v,

final velocity (v) =0

Since a is the retardation, so acceleration= –a

From relation

Substituting the values of F and S from equation (1) and (3) in equation (2) we get

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