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

Answer:

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

Step-by-step explanation:

Givens:

• $r=12 \ ft$
• $\omega = 15 \frac{rad}{sec}$

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:

$v=12 \ ft (15\frac{rad}{sec})=180\frac{ft}{sec}$