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.

Respuesta :

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

[tex]v=r\omega[/tex]

Here,

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

Thus,

[tex]v=10\times\frac{\pi}{6}=\frac{5\pi}{3}=\frac{5.23foot}{\sec }[/tex]

Thus teh answer is 5.23 foot/sec