Bill twirls a ball on a string around in a vertical circular path. The string measures 46 cm from the ball to his hand.
a) If the ball makes one revolution every 0.38 seconds, what is the rate of the ball in radians / sec?
b) If the ball makes 9 revolutions every 5 seconds, what is the rate of the ball in radians / sec?
The remaining questions are about the situation given in part (b).
c) Write a formula that defines d, the distance the ball travels in centimeters in terms of t, the number of seconds since Bill started twirling the ball at this rate. Your answer should be an exact expression.
d) Write a formula that defines, the angle swept out by the ball in radians in terms of t, the number of seconds since Bill started twirling the ball at this rate.