Question

A carousel with a 20-foot diameter makes 5 revolutions per minute. Find the linear speed of the carousel in feet per second. Round answer to the nearest tenth.

Answer 1

Given,

Diameter is d=20 foot.

It makes revolution as 5 rev per minute.

Thus the radius is r=d/2=10 foot.

Now the speed is

$v=r\omega$

Here,

$\omega=5\times2\pi\text{ rad/min=10}\frac{\pi}{60}\frac{rad}{\sec }$

Thus,

$v=10\times\frac{\pi}{6}=\frac{5\pi}{3}=\frac{5.23foot}{\sec }$

Thus teh answer is 5.23 foot/sec