Question

Prove that the equation, K=(1/2)Iw2 is dimensionally correct .

Answer 1

Answer:

Explanation:

The dimensional formula of Rotational Kinetic Energy is given by,

M1 L2 T-2

Answer 2

First up it’s K.E. = 1/2 m (v^2) ; the squared only applies to the v.

Here’s the way I do it, but there are other ways:

Using work done = force x distance (in the direction of the force)

f = m a

and v^2 = u^2 + 2as from the equations of motion.

Rearrange for s, substitute f/m for a into the equation of motion, then substitute into work = f