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Solution: In cars, a gear train (shown in the figure) is used in the t...

Question

In cars, a gear train (shown in the figure) is used in the transmission to allow the wheels of the car to rotate at high angular speeds while at low engine rpm's, allowing for less gas to be used. If the drive gear in a gear train is connected directly the engine, and the driven gear directly to the wheels (meaning both rotate with their respective gears), what gear ratio would allow the car to move at 60 mph while the engine rotates at 1500 rpm? Note that the definition of gear ratio is the driven gear radius : drive gear radius. Consider this for wheels with a 45 cm diameter.