a ball on a string makes 25.0 revolutions in 9.37s, in a circle of radius 0.450m. what is its velocity? (unit=m/s)

v = 7.54m/s

Explanation:

Okay, so we can first start of by finding the period. The equation for period is:

T = seconds / cycle. WE know in 9.37s, it does 25 revolutions (cycles), so we can find the period:

T = seconds / cycle

T = 9.37s / 25

0.3748 = T. We will use this as our time.

We then need to find the velocity, so we use the formula for velocity:

v = d/t. But d is the circumferance as its circular motion (circle).

so circumferance is 2πr. We know everything, and now we solve for velocity:

v = d/t

v = 2πr / t

v = 2π*0.450 / 0.3748

v = 7.54m/s