Question

Find the kinetic energy of a rigid body rotating about a fixed point in mathematics

Answer 1

K.E of a rotating body =1/2 IW

I=moment of Inertia

W=angular velocity

Answer 2

Answer:

Kinetic Enerrgy=1/2 x I x ω^1/2

Explanation:

Kinetic Energy(K)=1/2 x m x v^2

m=mass of the body

v=velocity of the body

for a rotating body we take into consideration its angular velocity i.e.ω

K=1/2 x m x (rw)^2  

∴ velocity(v)= angular velocity(ω) x distance from axis of rotation(r)

K=1/2 x m x r^2 x ω^2

∴mr^2=moment of inertia(I)

so, now thw final equation will be

K=1/2  x I x ω^1/2