Question

When she is traveling at a speed of 24ft/s, how many revolutions per minute are her wheels making?

Answer 1

The angular velocity of the wheel is 1080 rad/min.

Step-by-step explanation:

Let the radius of the wheel is 16 inches. If the speed of the wheel is 24 ft/s. We need to find the angular speed of the wheel.

Since, 1 ft/s = 720 in/min

So, 24 ft/s = 17280 in/min

Let
`\omega` is the angular velocity of the wheel. It is given by :

`v=r\omega`

`\omega=(v)/(r)`

`\omega=(17280\ in/min)/(16\ in)`

`\omega=1080\ rad/min`

So, the angular velocity of the wheel is 1080 rad/min. Hence, this is the required solution.