Calculating Input Torque for Gearbox and Pump

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Discussion Overview

The discussion revolves around calculating the required input torque for a gearbox and pump system, focusing on the relationship between output torque, input speed, and gear ratios. The context includes technical reasoning related to mechanical systems and gear trains.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant states that the input torque is 20 times the output torque.
  • Another participant emphasizes the principle that power is not stored in the gear train and suggests using the relationship between torque and angular velocity, noting the need to convert RPM to radians per second.
  • A later reply corrects the earlier statement about energy, reiterating that energy is not stored in the drivetrain.

Areas of Agreement / Disagreement

Participants express differing views on the calculation of input torque, with some proposing a straightforward multiplication of output torque by the gear ratio, while others introduce considerations about power and energy in the system. The discussion remains unresolved regarding the exact method to calculate input torque.

Contextual Notes

There are assumptions regarding the reversibility of the process and the absence of losses in the gear train, which may affect the calculations. The conversion of RPM to radians per second is also mentioned as a necessary step.

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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