The geartrain in the transmission for the Segway® Personal Transporter uses helical gear...

The geartrain in the transmission for the Segway® Personal Transporter uses helical gears to reduce noise and vibration (Figure P8.28). The vehicle’s wheels have a diameter of 48 cm, and it has a top speed of 12.5 mph.

a) Each gearset was designed to have a noninteger gear ratio so that the teeth mesh at different points from revolution to revolution, therefore reducing wear and extending the transmission’s life. What is the velocity ratio at each mesh point?

(b) What is the velocity ratio for the entire geartrain?

(c) In the units of rpm, how fast does the motor’s shaft turn at top speed?