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Electric Motor Torque Calculation

Electric Motor Torque Formula:

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

kW
RPM

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1. What is the Electric Motor Torque Formula?

The electric motor torque formula calculates the torque produced by an electric motor based on its power output and rotational speed. Torque is a crucial parameter in motor selection and mechanical system design.

2. How Does the Calculator Work?

The calculator uses the torque formula:

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

Where:

Explanation: The formula relates the motor's power output to its rotational speed, with the constant 9550 converting units appropriately (combining conversions from kW to W, RPM to rad/s, and other unit factors).

3. Importance of Torque Calculation

Details: Torque calculation is essential for selecting appropriate motors for applications, ensuring proper mechanical power transmission, and designing systems that meet performance requirements without overloading components.

4. Using the Calculator

Tips: Enter power in kilowatts (kW) and speed in RPM. Both values must be positive numbers. The calculator will compute the torque in Newton-meters (Nm).

5. Frequently Asked Questions (FAQ)

Q1: Why is 9550 used in the formula?
A: 9550 is a conversion factor that combines the conversions from kW to W (×1000), minutes to seconds (/60), and radians to revolutions (2π) into one constant (60000/2π ≈ 9550).

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

Q3: How does speed affect torque in electric motors?
A: For a given power, torque decreases as speed increases. This is why high-torque applications often use gear reducers to lower output speed while increasing torque.

Q4: Can this formula be used for all motor types?
A: This formula works for any motor when you know its power and speed. However, actual torque may vary with efficiency and operating conditions.

Q5: How do I convert between different torque units?
A: 1 Nm ≈ 0.7376 lb-ft, or 8.8507 lb-in. Use these factors to convert between metric and imperial torque units.

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