Acylinder 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
 
 The angular velocity of the cylinder is:
 w = 15.71 rad / sec