Question

The angular velocity of a point on a circle with radius of 12 feet is 15 radians per second. Find the speed of the point on the circle.

Answer 1

Angular speed:
(24*pi)*(15 pi/2pi) ft/sec:
565 ft/sec

Answer 2

`v=180frac{ft}{sec}`

Explanation:

Givens:

• 
  `r=12 \ ft`
• 
  `\omega = 15 (rad)/(sec)`

The problem is asking for the speed of the point on the circle, that is, the linear speed, which definition is:
`v=r \omega`

Replacing given values:

`v=12 \ ft (15(rad)/(sec))=180(ft)/(sec)`