Question

A gerbil wheel has a radius of 3.2 inches. The gerbil can spin the wheel at a rate of 35 rotations per minute. Find the angular speed of the wheel in degrees per minute and the linear speed of wheel in inches per minute

Answer 1

Given :

A gerbil wheel has a radius of 3.2 inches. The gerbil can spin the wheel at a rate of 35 rotations per minute.

To Find :

The angular speed of the wheel in degrees per minute and the linear speed of wheel in inches per minute.

Solution :

Angular speed is given by :

`\omega = 25\ rpm \\\\\omega = 25* 360^o \ per \ minute\\\\\omega = 9000^o \ per \ minute`

Now, velocity is given by :

`v = Radius* (RPM)/(60\ sec/min)* 2\pi\ rad/rev\\\\v = 3.2 * (35)/(60)* 2\pi\\\\v = 11.73\ m/s`

Hence, this is the required solution.