A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with...

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A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with...

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t) = γt + βt³, where γ = 0.40 rad/s and β = 0.012 rad/s³
1. Calculate the angular velocity of the merry-go-round as a function of time
2. Calculate the average angular velocity ω_av − z for the time interval t = 0 to t = 4.0 s.

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