3. A pulley system consists of a 10 inch wheel and another whose radius is unknown. A point on the rim of the wheel of unknown radius moves 450 inches when it revolves through an angle of 225. Find the angle (in degrees) the 10 inch wheel turns through.

4. A pulley system consists of one wheel of radius 4" and another whose radius is unknown. If the 4" wheel turns through an angle of 20 and the other wheel turns through an angle of 60, find the radius of the unknown wheel. (Be sure to perform the intermediate step requested in the instructions.)

5. In a 5" and 7" pulley system, the velocity at a point on the rim of the 7" wheel is 10 in min . Find the rpms being made by the 5" wheel.