Question

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.

Answer 1

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

Answer 2

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

We have given that,

A cylinder with a 3-foot radius spins at a rate of 150 revolutions per minute.

We have to determine 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:

What is the conversion of radians and minutes?

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

Round to the nearest hundredth

w = 15.71 rad / sec

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

To learn more about the unit conversion visit:

https://brainly.com/question/141163

#SPJ5