A cylinder with a 3-foot radius spins at a rate of 150 revolutions per minute. To the nearest hundredth, the angular velocity of the cylinder is how many radians per second.

For this case, what you should keep in mind are the following unit conversions:

1 revolution = 2pi radians

1 minute = 60 seconds

Applying the conversion of units we have:

w = (150) * ((2 * pi) / (60))

w = 15.70796327 rad / sec

nearest hundredth:

w = 15.71 rad / sec

Answer:

The angular velocity of the cylinder is:

w = 15.71 rad / sec