Rotational motion problems

Question

A kid pushes a stationary

merry-go-round, creating an

acceleration of 0.135 rad/s^2.

How much time does it take the

merry-go-round to complete

2.00 rotations?

Can someone answer this thourghly please?

Answer 1

The radians traveled θ = (1/2)∝t² where ∝ = angular acceleration and t = time in seconds here.

The radians traveled in 2 revolutions is 2 x 2pi = 4pi = 12.57

So, solve for t knowing that ∝ = .135 rad/sec²