Rotational Motion problem

Question

A kid pushes a stationarymerry-go-round, creating anacceleration of 0.135 rad/s^2.How much time does it take the merry-go-round to complete2.00 rotations?

can someone please answer this thourgly?

Answer 1

We can use the equation of kinematics.

θ = θ₀ + ω₀t + 1/2αt^{2 which is the equivalent of the linear equation with X =} X0 + Vot + 1/2t^2

_{2 rotations make 6Π radians}

_{6 x pi = 0 + 0 + 0.5 x 0.135 x t}²

t = √ (6 x 3.14/0.135x0.5)

t =~ 16.7s

I hope this helps