(a)

Step 1:

Revolutions per minute of 2-inch diameter pulley is 1700.

Angular speed $\"\"$ .

Where $\"\"$ Angle generated by pulley.

Angular speed of 2-inch diameter pulley $\"\"$ .

$\"\"$ Angle generated by 2-inch diameter pulley.

$\"\"$ .

Angular speed of 2-inch diameter pulley is $\"\"$ .

Step 2:

Angular speed of 4-inch diameter pulley $\"\"$ . (Since $\"\"$ )

Radius of 2-inch diameter pulley $\"\"$ .

Radius of 4-inch diameter pulley $\"\"$ .

Substitute corresponding values in $\"\"$ .

$\"\"$

$\"\"$ .

Angular speed of 4-inch diameter pulley is $\"\"$ .

(b)

Angular speed of saw arbor is $\"\"$ .

$\"\"$

Revolutions per minute of the saw is 850.