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*2\pi\text{ rad/min=10}(\pi)/(60)(rad)/(\sec )`

Thus,

`v=10*(\pi)/(6)=(5\pi)/(3)=(5.23foot)/(\sec )`

Thus teh answer is 5.23 foot/sec