Shown rack and pinion mechanism is one of the widely used ones in car steering system. Count the number of teeth. If the pinion rotates at 20 rpm and has a pitch radius of 10 inches, determine the translational (horizontal) speed of the rack? If a person applies 20 ft-lb torque to the pinion, how much force is applied in the rack to pull the tyres?

Shown rack and pinion mechanism is one of the widely used ones in car steering system. Count the number of teeth. If the pinion rotates at 20 rpm and has a pitch radius of 10 inches, determine the translational (horizontal) speed of the rack? If a person applies 20 ft-lb torque to the pinion, how much force is applied in the rack to pull the tyres?