Question

derive an expression for kinetic energyof rotating body​

Answer 1

Answer:

the formula of rotational inetic energy is

(K.E)rot. = 1/2 I ω²        

Explanation:

when a body rotates about its own axis of rotation its kinetic energy is called rotational kinetic energy ( K.E )

K.E = 1/2 mv² using v = r ω

(K.E)rot. = 1/2 m( r ω )²

(K.E)rot. = 1/2 mr²ω²        as we know I = mr²

(K.E)rot. = 1/2 I ω²