A small merry-go round is spinning about its center in a clockwise direction at 1.6 r a d s and with rotational kinetic energy of 580 J. Calculate the moment of inertia of the merry-go round.

The moment of inertia of the merry-go round is 453.125 kg.m²

Explanation:

Given;'

angular velocity of the merry-go round, ω = 1.6 rad/s

rotational kinetic energy, K =  580 J

Rotational kinetic energy is given as;

K = ¹/₂Iω²

Where;

I is the moment of inertia of the merry-go round

Therefore, the moment of inertia of the merry-go round is 453.125 kg.m²