Calculating Torque for a Gearbox and Flywheel with an Efficiency of 92%

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SUMMARY

The discussion focuses on calculating the torque required at the input shaft of a gearbox and flywheel system with a 92% efficiency. The gearbox has a gear ratio of 5:1, as the output shaft rotates five times faster than the input shaft. The flywheel, with a mass of 50 kg and a diameter of 1.5 m, needs to accelerate from rest to 300 revolutions per minute (RPM) in one minute. The relationship between output torque and input torque is defined as output torque = input torque / gear ratio.

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  • Knowledge of rotational dynamics and flywheel physics
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  • Calculate the moment of inertia for the solid flywheel using the formula I = 0.5 * m * r^2
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A gearbox and flywheel with a output shaft rotating in the opposite direction to the input shaft at 5 times it's speed. The gearbox has an efficiency of 92%
If the flywheel is solid has a mass of 50kg a diameter of 1.5m and is to accelerate from the rest to 300 revs min^-1 in 1minute

Can someone please show me how to calculate torque required at the input shaft please
 
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Hint: output torque = input torque / gear ratio
 

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