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Motor Torque Calculation Formula

Motor Torque Formula:

\[ T = \frac{P \times 9550}{N} \]

kW
rpm

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1. What is the Motor Torque Calculation Formula?

The motor torque calculation formula is used to determine the torque produced by an electric motor based on its power output and rotational speed. It provides a fundamental relationship between these key motor parameters.

2. How Does the Calculator Work?

The calculator uses the torque formula:

\[ T = \frac{P \times 9550}{N} \]

Where:

Explanation: The formula calculates the rotational force (torque) that a motor can produce at a given power output and speed. The constant 9550 comes from the conversion of units (kW to W and rpm to rad/s).

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for motor selection, mechanical system design, and ensuring proper performance in various applications from industrial machinery to automotive systems.

4. Using the Calculator

Tips: Enter power in kilowatts (kW) and rotational speed in revolutions per minute (rpm). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is the constant 9550 used in the formula?
A: The constant 9550 comes from unit conversions: 60/(2π) × 1000 ≈ 9550, which converts kW to W and rpm to rad/s.

Q2: Can this formula be used for all types of motors?
A: This formula provides theoretical torque for electric motors at a given power and speed, but actual torque may vary based on motor type, efficiency, and operating conditions.

Q3: What are typical torque values for industrial motors?
A: Torque values vary widely based on motor size and application, ranging from less than 1 Nm for small motors to thousands of Nm for large industrial motors.

Q4: How does torque relate to motor performance?
A: Torque determines a motor's ability to overcome load resistance. Higher torque allows a motor to accelerate heavier loads or maintain speed under greater resistance.

Q5: Can I calculate power if I know torque and speed?
A: Yes, the formula can be rearranged: P = (T × N) / 9550, where P is in kW, T in Nm, and N in rpm.

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