Billy goes on the teacup ride at the local carnival. He is seated 16 inches from the center of his teacup, which is spinning at a rate of 4 revolutions per minute. What is Billy's angular velocity, in radians per second? Round your answer to the nearest hundredth

The angular velocity given in this problem is:

w = 4 rev / min

We have to take into account the following conversions:

1 rev = 2 * pi rad

1 min = 60 sec

Applying the conversions we have:

w = (4) * (2 * pi) * (60)

w = 1507.964474

Round to the hundredth

w = 1507.96 rad / s

Answer:

Billy's angular velocity, in radians per second is:

w = 1507.96 rad / s