Gearbox torque calculation - input/output

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To calculate the input torque for the gearbox, multiply the output torque of 0.12348 Nm by the gearbox ratio of 20, resulting in an input torque of approximately 2.4696 Nm. The gearbox configuration consists of four gears arranged in two pairs, facilitating a transition from low speed to high speed. This design indicates that as the output speed increases, the torque decreases proportionally according to the gear ratio. The application involves a power spring driving the input to a pump, similar to a wind-up radio. The calculations confirm the logic behind the torque relationship in gearboxes.
karl8695
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Hi all,

Please help me to solve this fairly simple problem (i think):

Gearbox output torque driving the input shaft to pump = 0.12348 Nm
Gearbox output speed - 80 rpm
Gearbox input speed - 4 rpm

Gearbox is compound consisting of x4 gears arranged in two pairs -

Gear A, driver = 100 teeth
Gear B, driven = 20 teeth
Gear C, driver = 80 teeth
Gear D, driven = 20 teeth

Gearbox Ratio = 1:20

How do I calculate the input torque?

Thanks in advance
 
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It seems to me your gearbox is working from low speed to high speed, meaning your gear ratio is speeding up the rotation, which means it is reducing the torque by the same ratio.

take your 'output' torque and multiply this by the ratio to get the input torque.

What's your application? This is opposite of how I use gearboxes.
 
Hi Huntoon,

The question is related to a concept design where a power spring will be driving the input to a pump; think along the lines of the Baylis wind-up radio.

And thanks for your response, i was hoping it was that simple.
 
double check your math and my logic. you get what you pay for, you know what I mean... happy to help though, cheers.
 
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