Motor Torque Formula:
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The 9550 motor torque formula is a standard equation used to calculate the torque produced by an electric motor based on its power output and rotational speed. The constant 9550 comes from unit conversion factors (60 seconds/minute × 1000 watts/kilowatt divided by 2π radians/revolution).
The calculator uses the motor torque equation:
Where:
Explanation: The formula relates the mechanical power output of a motor to its rotational speed, with the constant 9550 accounting for unit conversions.
Details: Accurate torque calculation is essential for motor selection, mechanical system design, and ensuring proper performance under load conditions.
Tips: Enter power in kW and speed in RPM. Both values must be positive numbers. The calculator will compute the torque in Nm.
Q1: Why is the constant 9550 used in the formula?
A: The constant 9550 comes from unit conversions: (60 sec/min × 1000 W/kW) / (2π rad/rev) ≈ 9549.3, typically rounded to 9550.
Q2: Can I use this formula for any motor?
A: This formula works for any electric motor when you know the power output and rotational speed, but actual torque may vary with efficiency and load conditions.
Q3: What are typical torque values for motors?
A: Torque varies greatly by motor size. Small motors might produce <1 Nm, while large industrial motors can produce thousands of Nm.
Q4: How does torque relate to horsepower?
A: Horsepower can be converted to kW (1 HP ≈ 0.746 kW) for use in this formula. Torque and horsepower are related through rotational speed.
Q5: What if my motor speed is in rad/s instead of RPM?
A: For rad/s, use the simpler formula T = P/ω where ω is angular velocity in rad/s (no 9550 constant needed).