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A gearbox has an input rotor with a moment of inertia of 3kg.m^2 and an output...

A gearbox has an input rotor with a moment of inertia of 3kg.m^2 and an output rotor with a moment of inertia of 24kg.m^2 and gives a reduction of 4:1 with an efficiency of 80%. Determine the angular acceleration of the input shaft when there is a torque of 100 Nm applied to the shaft.

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Answer #1

Here we are provided with input rotor having moment of inertia = 3kgm2 and the outout rotor with moment of inertia =24kgm2

Torque for the system can be given as

Where

Putting all values we get

Now the efficiency provided is 80%

hence

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