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Formula for calculating motor torque
The calculation formula for motor torque is: [ T = \frac{9550P}{n} ]
Formula for calculating motor torque
The calculation formula for motor torque is:
[ T = \frac{9550P}{n} ]
Among them:
\(T) is torque, measured in Newton meters (Nm)
\(P) is the power of the motor, measured in kilowatts (kW)
\(n \) is the speed of the motor, measured in revolutions per minute (r/min)
This formula indicates that the torque of a motor is directly proportional to its power and speed. The constant 9550 is an empirical formula used to convert power units from kilowatts to Newton meters. This value can be derived from the following:
[ T = \frac{F \cdot r}{r} = F ]
[F=P \ cdot \ frac {1} {60}] (Because 1 minute has 60 seconds)
[ T = P \cdot \frac{1}{60} \cdot 60 = P ]
[ T = \frac{9550P}{n} ]
Among them, 9550 is the coefficient for power unit conversion, 1 kW=9550 W, 1 W=1 N · m/s, 1 min=60 s.
Therefore, if you know the rated power and rated speed of the motor, you can directly use this formula to calculate the rated torque of the motor. For example, if the rated power of an electric motor is 10 kW and the speed is 1440 r/min, then its torque is:
[ T = \frac{9550 \times 10}{1440} \approx 66.32 , \text{Nm} ]
It is recommended to obtain accurate values of power and speed from the motor nameplate or data sheet provided by the manufacturer in practical applications to ensure the accuracy of calculations.
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