A ball hanging from a twisted string is released from rest, and spins around in a circle (reversing direction periodically). The angular velocity of the ball is given by: 𝜔(𝑡)=(16 𝑟𝑎𝑑/𝑠) sin[(𝜋/5 𝑟𝑎𝑑/𝑠)𝑡]
Find the number of revolutions the ball makes before it comes to rest again.