The circular blade of a saw has a diameter of 7 inches and rotates at 2500 revolutions per minute. Find the angular speed in radians per second.
A) $\frac { 875 \pi } { 3 }$ radians per second
B) $\frac { 250 \pi } { 3 }$ radians per second
C) $\frac { 1750 \pi } { 3 }$ radians per second
D) $\frac { 125 \pi } { 3 }$ radians per second
E) $14 \pi$ radians per second

Question

Quizplus · Accepted Answer

The angular speed in radians per second can be found by converting revolutions per minute to radians per second. Since there are $2\pi$ radians in one revolution and 60 seconds in one minute, the conversion for 2500 revolutions per minute is $2500 \times \frac{2\pi}{60} = \frac{250\pi}{3}$ radians per second.

The Circular Blade of a Saw Has a Diameter of 7