Troque calculations for a direct coupledmotor and ball screw

AI Thread Summary
The discussion centers on calculating torque for a stepper motor coupled to a ball screw, specifically addressing the formula T=F*D. The user seeks clarification on how to determine torque at a smaller radius of the motor shaft, which is 0.25 inches. It is noted that the torque remains the same regardless of the shaft radius, as torque is a function of force and radius, and the force exerted does not change with the radius. The key takeaway is that the torque at the motor shaft remains constant at 400 oz-in, and the difference in shaft diameter does not affect this value. Understanding that torque is independent of radius helps clarify the calculations involved.
dmauch
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I know the formula T=F*D but having problems wrapping my head around this problem.
I want to direct couple a stepper motor with a .5"D shaft to a .75"D ballscrew.
The motor has 400 oz inch torque but since the motor shaft is .5"D or .25" radius How do I calculate the Torque at .25" radius? I would think the force at .25" would be greater than the torque at 2"D
In this case is the torque at .25 also the force F? Please provide the math in your answer.
 
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Same torque. Difference in shaft radius does not matter.
 

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