Question

derive an expression for the kinetic energy E of a body rotating with constant angular velocity w about a fixed rotation axis of L is the angular momentum of the body about the axis show that E= 1/2 Lw​

Answer 1

Rotational kinetic energy can be expressed as: Erotational=12Iω2 E rotational = 1 2 I ω 2 where ω is the angular velocity and I is the moment of inertia around the axis of rotation. The mechanical work applied during rotation is the torque times the rotation angle: W=τθ W = τ θ .