A microwave oven turntable rotates at about 6 revolutions per minute. Using the fact that one revolution is 2 pi radians and one minute is 60 seconds, what is its angular velocity in radians per second?

1. Convert 6 revolutions per minute into radians per minute by multiplying by 2 pi radians per revolution: 6 times 2 pi is about 37.7 rad/min. 2. Convert minutes to seconds by dividing by 60, since angular velocity is wanted in radians per second: 37.7 rad/min divided by 60 s/min. 3. That division gives approximately 0.628 rad/s, which rounds to about 0.63 rad/s. 4. 6.28 rad/s omits the conversion from minutes to seconds entirely, and 37.7 rad/s omits it as well but keeps the wrong time unit label. 5. 0.10 rad/s would follow from converting revolutions to radians incorrectly by a factor of ten, so it does not match a careful unit conversion. _Source: OpenStax College Physics (CC BY 4.0), Ch 6 "Uniform Circular Motion and Gravitation", section 6.1 Rotation Angle and Angular Velocity_