Torque Formula for a Motor Calculator

Torque Formula:

\[ Torque = \frac{Power \times 9550}{RPM} \]

Torque:

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1. What is the Torque Formula for Motors?

The torque formula calculates the rotational force produced by a motor based on its power output and rotational speed (RPM). It's essential for understanding motor performance and selecting the right motor for specific applications.

2. How Does the Calculator Work?

The calculator uses the torque formula:

\[ Torque = \frac{Power \times 9550}{RPM} \]

Where:

\( Power \) — Motor power output in kilowatts (kW)
\( RPM \) — Rotational speed in revolutions per minute
\( 9550 \) — Conversion constant (derived from unit conversions)

Explanation: The formula shows that torque is inversely proportional to RPM when power is constant. Higher RPM means lower torque, and vice versa.

3. Importance of Torque Calculation

Details: Calculating torque is crucial for motor selection, mechanical design, and ensuring proper operation of machinery. It helps determine if a motor can provide enough rotational force for a given application.

4. Using the Calculator

Tips: Enter power in kilowatts (kW) and RPM in revolutions per minute. Both values must be positive numbers (power > 0, RPM > 0).

5. Frequently Asked Questions (FAQ)

Q1: Why is 9550 used in the formula?
A: 9550 is a conversion factor derived from unit conversions (60 seconds/minute × 1000 watts/kilowatt divided by 2π radians/revolution).

Q2: What are typical torque values for electric motors?
A: Torque varies greatly by motor size and type. Small motors might produce fractions of Nm, while large industrial motors can produce thousands of Nm.

Q3: How does torque relate to horsepower?
A: Horsepower (HP) is another power measurement. 1 HP ≈ 0.746 kW. The torque formula can use HP with a different constant (5252 instead of 9550).

Q4: What affects motor torque output?
A: Torque depends on motor design, electrical characteristics, load conditions, and operating speed. Many motors have variable torque across their speed range.

Q5: How is torque different from power?
A: Torque is rotational force, while power is the rate of doing work. Power combines torque and speed (Power = Torque × RPM / 9550).