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Torque Calculation for Motor Speed

Torque Formula:

\[ Torque (Nm) = \frac{Power (kW) \times 9550}{RPM} \]

kW
revolutions per minute

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1. What is the Torque Calculation Formula?

The torque calculation formula relates motor power (in kilowatts) to rotational speed (in RPM) to determine the torque output. This is essential for understanding motor performance and mechanical power transmission.

2. How Does the Calculator Work?

The calculator uses the torque formula:

\[ Torque (Nm) = \frac{Power (kW) \times 9550}{RPM} \]

Where:

Explanation: The formula shows that torque is inversely proportional to speed when power is constant. Higher RPM means lower torque for the same power output.

3. Importance of Torque Calculation

Details: Torque calculation is crucial for motor selection, mechanical design, and ensuring proper power transmission in machinery. It helps determine if a motor can provide enough rotational force for a given application.

4. Using the Calculator

Tips: Enter motor power in kilowatts and rotational speed in RPM. Both values must be positive numbers (power > 0, RPM ≥ 1).

5. Frequently Asked Questions (FAQ)

Q1: Why is 9550 used in the formula?
A: 9550 is a constant derived from unit conversions (60,000 divided by 2π) to convert between kW, RPM, and Nm.

Q2: What are typical torque values for electric motors?
A: Small motors might produce 1-10 Nm, while industrial motors can produce hundreds or thousands of Nm, depending on power and speed.

Q3: How does torque relate to horsepower?
A: Horsepower can be converted to kW (1 HP ≈ 0.746 kW) and then used in this formula to calculate torque.

Q4: Does this formula work for all motor types?
A: Yes, it applies to any rotating machinery, but actual torque may vary with efficiency and operating conditions.

Q5: What if I have torque and need to find power?
A: Rearrange the formula: \( Power (kW) = \frac{Torque (Nm) \times RPM}{9550} \)

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