a cylinder with a 3 - foot radius spins at a rate of 150 revolutions per minute. to the nearest hundredth…

Explanation:

Step1: Convert revolutions to radians

One revolution is $2\pi$ radians. So 150 revolutions per minute is $150\times2\pi$ radians per minute. $150\times2\pi = 300\pi$ radians per minute.

Step2: Convert minutes to seconds

There are 60 seconds in a minute. To get the angular - velocity in radians per second, divide the radians per minute by 60. $\omega=\frac{300\pi}{60}$

Step3: Calculate the value

$\frac{300\pi}{60}=5\pi\approx 15.71$ radians per second.

Answer:

$15.71$