Find the linear velocity of the first pulley by using the formula : $\"\"$ .

Where $\"\"$ is the radius of the first pulley and $\"\"$ is the angular speed of the first pulley.

Consider $\"\"$ .

Substitute $\"\"$ inches and $\"\"$ rev per minute in above formula.

$\"\"$ .

Find the linear velocity of the second pulley by using the formula : $\"\"$ .

Where $\"\"$ is the radius of the second pulley and $\"\"$ is the angular speed of the second pulley.

Consider $\"\"$ .

Substitute $\"\"$ inches in above formula.

$\"\"$ .

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Find the angular speed of the second pulley.

Since the linear velocities of two pulleys are equal, $\"\"$ .

$\"\"$

$\"\"$ rev per minute.

The angular velocity of the second pulley is $\"\"$ rpm.