Aparticle travels in a circle around a fixed point at 16 revolutions per minute. the linear velocity of the particle is 240π inches per minute. what is the distance, in inches, between the particle and the fixed point? a. 3.75 b. 7.5 c. 15  d. 30

Angular velocity = w = 16 revolutions per minute

w = 16 x 2π radians per minute = 32π radians per minute

Linear velocity = v = 240π inches per minute

Since the particle is moving in a circle along the fixed point(the center of the circle), the distance between the particle and the fixed point will be the radius(r) of the circle.

v = r w
r = v/w

So,

r = 240π/32π inches = 7.5 inches

Thus the distance from the fixed point to the particle is 7.5 inches. 

So, option B is the correct answer.