Question

In: Mechanical Engineering

Consider a Bevel Gear Differential used to drive the rear wheels in an automobile. Assume the...

Consider a Bevel Gear Differential used to drive the rear wheels in an automobile. Assume the input angular velocity is to the carrier and the output angular velocities drive the left and right wheels. If both wheels rotate at the same speed, what is the angular velocity of the planet gear?

None of these.
The same angular velocity as the carrier
The same angular velocity as the wheels.
The planet gears have zero angular velocity relative to the carrier.

Solutions

Expert Solution

When both left and right wheels are rotating at same speed , lets assume the body is moving along a straight line. There will be no differential movement of the planetery gear system, except for those while having uneven roads. Input torque will be applied to the crown wheel, which turns the carrier, which in turn rotate left and right wheel at same speed. This is possible when resistance at both wheels are same , as a result planetery gear does not rotate and hence both wheels rotate in same direction.

Hence in the above given options, the correct answer is "The planet gears have zero angular velocity relative to the carrier."


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