What is the Optimal Stepper Motor Torque for Coupling with a Ball Screw?

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SUMMARY

The optimal stepper motor torque for coupling with a ball screw, given a drive torque requirement of 2.6 Nm and a gear ratio of 3:1, is calculated to be 0.867 Nm. This torque is derived from the relationship between power, torque, and RPM, where power remains constant across the gearbox. Therefore, to achieve the necessary torque at the ball screw, the stepper motor must provide sufficient torque adjusted for the gear reduction.

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Engineers, mechanical designers, and robotics enthusiasts involved in selecting and integrating stepper motors with ball screws for precise motion control applications.

Ameya Joshi
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I have to select a stepper motor for the following specifications. I need to know the torque which will be sufficient for me to get the driving torque required.
Drive torque = 2.6 Nm
Gear ration used for coupling = 3:1 (Reduction)
Im to couple the motor with a ball screw.
 
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Power is energy flow. The power is the same on both sides of the gearbox.
Power is torque multiplied by RPM. The torque must be transformed by the gear ratio.

The ball screw needs to be driven with a maximum torque of 2.6 Nm.
The ball screw is driven through a 3.0 : 1 reduction gear train by the stepper motor.
The stepper motor will therefore need a torque of 2.6 Nm / 3.0 = 0.867 Nm.
 

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