$\"\"$

\

(a)

\

Car moves at a rate of $\"\"$ miles per hour.

\

Diameter $\"\"$ of its wheel is $\"\"$ feet.

\

Radius $\"\"$

\

$\"\"$

\

Convert car speed into feet per minute.

\

$\"\"$ mile $\"\"$ feet.

\

1 hour $\"\"$ minutes.

\

$\"\"$ miles per hour $\"\"$ feet per minute.

\

$\"\"$

\

Linear speed = $\"\"$

\

Linear speed = $\"\"$ (Since $\"\"$ )

\

Linear speed $\"\"$ feet per minute.

\

Each revolution generates $\"\"$ radians.

\

Assume number of revolutions per minute as $\"\"$ .

\

$\"\"$

\

Linear speed = $\"\"$ .

\

$\"\"$

\

Substitute corresponding values in linear speed formula.

\

$\"\"$ (Since $\"\"$ )

\

$\"\"$

\

$\"\"$ revolutions/min.

\

$\"\"$

\

(b)

\

Angular speed $\"\"$

\

$\"\"$

\

$\"\"$ radians/min.

\

$\"\"$

\

(a) Number of revolutions per minute of wheel is $\"\"$ .

\

(b) Angular speed is $\"\"$ radians/min.