- #1

nautica

Thanks

Nautica

A 1.8 m radius merry go round has a mass of 120 kg and is rotating with an angular velocity of .5 rev/s.

What is its angular velocity after a 22 kg childs gets on its edge which was initially at rest???

First, I determined that this was an Inelastic collision with conservation of momentum

Formula

Iw1 + Iw2 = Iw (final)

I for a disc was determined to be (1/2)MR^2

I converted the .5rev/s to 3.14rad/s

So the work is as follows:

(1/2)(120 kg * 1.8m^2)(3.14 rad/s) + 0 = ((22kg + 120 kg) * 1.8m^2)W(final)

so w(final) = 1.33 rad/s

Thanks again

Nautica