Question

104in rotational kinetic energy is equals to 1 by 2 I w2 that is equals to 2 by 2 I what does w represent ​

Answer 1

Answer:

I is the moment of inertia which is a scalar

w is the angular velocity

Explanation:

Kinetic energy has the Formula

           K = ½ m v²

if the system is rotating, the linear velocity is related to the angular velocity

          v = wr

we substitute

         K = ½ m w² r²

         K = ½ (m r²)  w²

If we consider the body as punctual

         I = m r²

we substitute

       K = ½ I w²

we can see that

I is the moment of inertia which is a scalar

w is the angular velocity

K is called the rotational kinetic energy