Calculating Input Torque for Gearbox and Pump

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To calculate the required input torque for the gearbox and pump, the gearbox output torque is given as 0.12348 Nm with an output speed of 80 rpm and an input speed of 4 rpm. The gearbox ratio is 1:20, indicating that the input torque is 20 times the output torque. Assuming no losses and that power is conserved, the relationship between power, torque, and angular velocity must be applied, converting rpm to radians per second for accuracy. The calculation confirms that the input torque is directly proportional to the output torque based on the gearbox ratio. This approach ensures an accurate determination of the input torque needed for the system.
karl8695
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Hi all,

I have a the following problem to solve fairly quickly, I need to calculate the required input torque to my gearbox and pump

Gearbox output torque - 0.12348Nm
Gearbox output speed - 80 rpm
Gearbox input speed - 4 rpm

Gearbox (compound gears) Gear A, driver = 100 teeth, Gear B, driven = 20 teeth, Gear C, driver = 80 teeth and Gear D, driven = 20 teeth

Gearbox Ratio 1:20

What is the input torque?
 
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20 times the output torque
 
Power is not stored in the gear train. We assume that the process is reversible with no losses. since power=torque*omega(angular velocity) set the two equal to each other and solve. Don't forget to convert rpms to rads/sec.
 
edit, energy is not stored in the drivetrain...
 
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