A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer to the nearest hundredth.

Angular velocity = 300 revolutions per minute

1 revolution = 2π radians.

So, we can write:

Angular velocity = 300 x 2π radians per minute = 600π radians per minute

1 minute = 60 seconds.

So,

Angular velocity = 600π radians per 60 seconds

⇒

Angular velocity = 10π radians per second

Angular velocity = 31.42 radians per second

Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.