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.

Question

Mathematics

Isaias Good

19 January, 04:09

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.

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Answers (1)

Know the Answer?

Walker Villegas · 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