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Torque From RPM and Power Calculator

Torque Equation:

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

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 equation:

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

Where:

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

3. Importance of Torque Calculation

Details: Accurate torque calculation is 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 (RPM must be greater than 0).

5. Frequently Asked Questions (FAQ)

Q1: Why is 9550 used in the formula?
A: The constant 9550 combines unit conversions (kW to W, minutes to seconds) and the relationship between rotational speed and angular velocity (2π radians per revolution).

Q2: 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. Torque varies greatly with motor size and design.

Q3: How does torque relate to horsepower?
A: Horsepower can be converted to kW (1 HP ≈ 0.7457 kW) and then used in this formula. The basic relationship is: Power = Torque × Angular Velocity.

Q4: What if I have power in HP instead of kW?
A: First convert HP to kW by multiplying by 0.7457, or use the formula: Torque (N·m) = (HP × 5252) / RPM.

Q5: Does this formula work for any rotational system?
A: Yes, it applies to any rotating system where power is being transmitted, including engines, motors, turbines, and gear systems.

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