Question

Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to

complete a rotation. What is Jasmine's linear speed (rounded to the nearest tenth)?

Answer 1

2.983 ft/sec

Explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute =
`(60)/(20) = 3`

Formula for linear speed is given as:

`v=(2\pi)/(60)\cdot r\cdot RPM`

Where
`r` is the radius of circular path and

`RPM` is the number of revolutions per minute.

`v=(2\pi)/(60)* 9.5 * 3\\\Rightarrow v=(\pi)/(10)*9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}`

Therefore, the linear speed is 2.983 ft/sec.