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

I is the moment of inertia which is a scalar

w is the angular velocity

Step-by-step 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