Question

Student swings a small rubber stopper attached to a string over her head in a horizontal, circular path. The string is 1.50 meters in length and the rubber stopper makes 120 complete circles every minute.

Answer 1

v = 18.84 m/s

Step-by-step explanation:

Given that,

The length of the string, r = 1.5 m (it will act as radius)

The rubber stopper makes 120 complete circles every minute.

Since, 1 minute = 60 seconds

It means, its frequency is 2 circles every second.

Let we need to find the average speed of the rubber stopper. It can be calculated as follows :

`v=(d)/(T)`

d is distance,
`d=2\pi r` and 1/T = f (frequency)

`v=2\pi rf\\\\=2\pi * 1.5* 2\\\\=18.84\ m/s`

So, the average speed of the rubber stopper is 18.84 m/s.