Calculating Output Torque of a 3hp Motor

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A 3hp motor with a torque of 110.85 lb*in is connected to a gearbox with a maximum torque of 6286 lb*in and a gear ratio of 57.64:1. With an additional gear reduction of 3.375:1, the total gear ratio becomes 194.53:1, leading to an estimated output torque of approximately 21,500 lb*in. However, it's important to verify the motor's torque rating, as AC motors do not provide constant torque and can have varying torque curves. Ensuring compatibility of all components is crucial for optimal performance.
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I have a 3hp motor, with a torque of 110.85 lb*in. a gear box with a max torque of 6286 lb*in.

gear box ratio is 57.64:1

I have gears attached to the gearbox shaft with a gear reduction of 3.375:1.

My new gear ratio should be 194.53:1 right?...

which would make my output torque approx. 21,500 lb*in...?

just checking
 
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Are you sure about your motor's torque? I ask because you list the gearbox's max torque (is that it's rated torque) at a value that is lower than the motor torque*reduction.

Also, understand that AC motors (if that's what you are using) are not constant torque machines. They have torque curves, and starting/peak torque can be upwards of 200% (in some cases much higher) of rated torque.

I'd verify you've got the right parts for the application.

As per your question, yes, if you have a gearbox with a 57.64:1 ratio and the output of that is subjected to another 3.375:1 reduction, you will have a 194.53:1 reduction and theoretical torque of 21,500 in*lb (depending on efficiency of the powertrain).
 
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