1. What is the Motor Torque Formula?

The motor torque formula calculates the rotational force produced by an electric motor based on its power output and rotational speed. It's a fundamental equation in mechanical engineering and motor design.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

• \( T \) — Torque (Newton-meters, Nm)
• \( P \) — Power (kilowatts, kW)
• \( N \) — Rotational speed (revolutions per minute, rpm)

Explanation: The constant 9550 is derived from unit conversions between kW, rpm, and Nm. This formula provides the torque output when power and speed are known.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for motor selection, mechanical system design, performance analysis, and ensuring proper matching between motors and their driven loads.

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 conversion factors: 60,000/(2π) ≈ 9550, which converts between kW, rpm, and Nm units.

Q2: Can this formula be used for different power units?
A: The formula is specific to kW input. For horsepower (HP), use T = (P × 5252)/N where P is in HP.

Q3: What is the relationship between torque, power, and speed?
A: Torque is inversely proportional to speed when power is constant. Higher speed means lower torque, and vice versa, for the same power output.

Q4: Does this formula work for all types of motors?
A: This formula works for calculating output torque of any rotational machine when power and speed are known, regardless of motor type.

Q5: What are typical torque values for electric motors?
A: Torque values vary greatly by motor size and type. Small motors may produce fractions of Nm, while large industrial motors can produce thousands of Nm.