Question

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

Answer 1

Answer:

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

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 :

$v=r\omega$

$\omega=\dfrac{v}{r}$

$\omega=\dfrac{17280\ in/min}{16\ in}$

$\omega=1080\ rad/min$

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