Question

A flywheel with a diameter of 0.692 m is rotating at an angular speed of 208 rev/min. (a) What is the angular speed of the flywheel in radians per second

Answer 1

`\omega = 21.8\:\text{rad/s}`

Step-by-step explanation:

We know that there are
`2\pi` radians in one revolution and 60 seconds in one minute so we can easily convert the rev/min unit to rad/s using the following conversion factors:

`208\:\frac{\text{rev}}{\text{min}}×\frac{2\pi\:\text{rad}}{1\:\text{rev}}×\frac{1\:\text{min}}{60\:\text{s}}`

`\;\;\;\;\;=21.8\:\text{rad/s}`