Question

A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240pi inches per minute.

What is the distance, in inches, between the particle and the fixed point?

Answer 1

B

Explanation:

JUST TOOK THE TEST AND GOT IT RIGHT

Answer 2

7.5 inches.

Explanation:

Angular velocity (ω) in radians per minute

= 16* 2π (as there are 2π radians in 1 revolution)

= 32π radians per minute.

= ω.

Linear velocity V = ω r where r = the radius of the circle.

Therefore: 240π = 32π r

r = 240 / 32

r = 7.5 inches.