Answer:
Angular velocity of merry-go-round is πk - 1 at t= T
Explanation:
From the question it is given that
..........................(1)
since mathematically, angular velocity is defined as
........................(2)
on substituing the value of θ(t) from equation 1 in equation (2) we get
=
............................(3)
on differentiating equation (3) with respect to time we get
ω(t) = πk(1 -
) = πk - 1 angular velocity of merry-go-round
Therefore, angular velocity of merry-go-round is πk - 1 at t= T