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How do I calculate the rated speed or the speed at a specific torque for a motor or gearmotor?

CALCULATE motor rated speed torque
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How do I calculate the rated speed or the speed at a specific torque for a motor or gearmotor?

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The output speed for a motor or gearmotor is given by the equation below: w = [VS – (I x Rmt)] / (KE x N) Where w = Speed VS = Supply Voltage I = Current (Obtained from previous equation) Rmt = Motor Terminal Resistance KE = Back-EMF Constant N = Gear Ratio (Equals 1 if there is no gearbox) Maximum continuous (rated) current can be obtained from the previous equation and used as the current value to obtain the speed at the maximum continuous (rated) torque. Please be aware that this equation approximates the motor speed and does not take thermal conditions into consideration. The results are reasonably close and suitable for most purposes.

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