Question

using the method of dimensions check the correctness of the following equation
(ii) K =
102, where K is the rotational kinetic
2.
energy, I is the moment of inertia and w is the angular
velocity of a body rotating about an axis.​

Answer 1

Hi buddy ✌✌✌ your ans is below given that ...

Given that - K = 1 / 2 ( I x W2 )

where , K is rotational kinetic energy.

I is moment of inertia .

w is angular velocity.

[ K ] = [ M l2 T-2 ]

[ I ] = [ M l2 T0 ]

[ w ] = [M0 L0 T-1]

LHS - [ k ] = [ M L2 T-2]

RHS - [ I ] [ w ]2 = [M L2 T0 ] [ M0 L0 T-1 ] 2

= [ M L2 T0 ] [ M0 L0 T-2 ]

= [ M L2 T-2 ]

hence LHS = R HS ....therefore eqn is dimensionally correct..