Question

6. Solve the problem. A carousel has a radius of 18 feet and takes 31

seconds to make one complete revolution. What is the linear speed of

the carousel at its outside edge? Express the answer in feet per second.

If necessary, round the answer to two decimal places.

Answer 1

Answer:

v = 3.64 ft/s

Step-by-step explanation:

Given that,

Radius of a carousel, r = 18 feet

It takes 31 seconds to complete revolution.

We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.

d = 2πr

d = 2π × 18 = 113.09 feet

Let v is the linear speed. It can be given by :

$v=\dfrac{D}{t}\\\\v=\dfrac{113.09}{31}\\\\v=3.64\ ft/s$

So, the linear speed of the carousel is 3.64 ft/s.