Relation between linear speed $\"\"$ of an object and angular speed $\"\"$ of the object is $\"\"$ , where $\"\"$ is the radius of the circular motion and $\"\"$ is measured in radians per unit time.

Find linear speed of the car in inches per second and mile per hour :

The radius of each wheel of a car $\"\"$ .

Number of revolutions per second $\"\"$ .

Angular speed $\"\"$ .

$\"\"$ .

Consider $\"\"$ .

Substitute he values of $\"\"$ and $\"\"$ in above formula.

$\"\"$ .

Conversion :

1 mile = 63360 inches.

1 hour = 60 minutes.

1 minute = 60 seconds.

Convert linear velocity into mile per hour :

$\"\"$

Thereofore, linear speed of the car is $\"\"$ or $\"\"$ .

Linear speed of the car is $\"\"$ or $\"\"$ .