Moment of inertia

Question

A 41.2 kg kid stands 1.50 m from

the center of a merry-go-round.

What is his moment of inertia?

can someone please answer this thourghly ?

Answer 1

So the general formula for the moment of inertia is I = m*r²,

where I is inertia, m is mass, and r is the distance from the axis of rotation.

The mass of the object is the kid's mass. So m = 41.2 kg

The axis of rotation is the center of the merry-go-round. That makes the distance from the axis of rotation to be the distance from the center of the merry-go-round. So r = 1.5 m.

Now let's substitute these values into the formula.

I = 41.2 * (1.5)²

= 92.7 kg*m²