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Calculate Torque From Power And RPM

Torque Formula:

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

kW
rev/min

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1. What is Torque?

Torque is a measure of the rotational force applied to an object. In engineering, it's crucial for understanding the twisting force in shafts, motors, and other rotating components.

2. How Does the Calculator Work?

The calculator uses the torque formula:

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

Where:

Explanation: The formula relates power (energy per unit time) to torque (rotational force) at a given rotational speed.

3. Importance of Torque Calculation

Details: Torque calculations are essential for designing mechanical systems, selecting motors, determining gear ratios, and ensuring components can withstand applied forces.

4. Using the Calculator

Tips: Enter power in kilowatts (kW) and rotational speed in RPM. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is 9550 used in the formula?
A: 9550 combines unit conversions (kW to W, minutes to seconds) and the factor of 2π for rotational calculations (60/(2π) ≈ 9.5493, rounded to 9550 when using kW).

Q2: What if my power is in horsepower?
A: First convert horsepower to kW (1 hp ≈ 0.7457 kW) before using this calculator.

Q3: Does this formula work for all rotating systems?
A: Yes, it applies to any rotating system where power and speed are known, though efficiency factors may need consideration in real-world applications.

Q4: How does torque relate to acceleration?
A: Higher torque at a given RPM means more power is available for acceleration. Torque × RPM / 9550 = Power (kW).

Q5: What are typical torque values for electric motors?
A: Small motors might produce 1-10 N·m, while industrial motors can produce thousands of N·m, depending on power and speed.

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