Question

A truck with 28-in.-diameter wheels is traveling at 60 mi/h. Find the angular speed of the wheels in rad/min, *hint convert miles to inches

Answer 1

Angular speed =
`4525.7` rad/min

Step-by-step explanation:

Diameter of the wheel (D) = 28 inches

Radius of the wheel (R) =
`(28)/(2) =14` inches

Speed of wheels of a truck = 60 mi/h.

First convert 60 mi/h to inches per minute

1 mile = 63360 inches

1 hour = 60 minutes

So,

`(60(63360))/(60) =63360` inches per minute

Angular speed is given by
`(v)/(R)`

Here, R denotes the radius and
`v` denotes the speed.

Put
`R=14\,,\,v=63360`

So,

Angular speed =
`(63360)/(14)=4525.7` rad/min