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Torque Calculation From Rpm And Power

Torque Formula:

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

kW
rpm

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1. What is Torque Calculation From RPM And Power?

Torque calculation from RPM and power is a fundamental mechanical engineering calculation that determines the rotational force produced by a motor or engine based on its power output and rotational speed.

2. How Does the Calculator Work?

The calculator uses the torque formula:

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

Where:

Explanation: The constant 9550 is derived from unit conversion factors to ensure consistent SI units in the calculation.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for mechanical design, motor selection, power transmission system design, and ensuring proper operation of rotating machinery.

4. Using the Calculator

Tips: Enter power in kilowatts (kW) and rotational speed in revolutions per minute (rpm). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is the constant 9550 used in the formula?
A: The constant 9550 comes from unit conversion (60 seconds/minute ÷ 2π radians/revolution × 1000 watts/kilowatt ≈ 9549.3, typically rounded to 9550).

Q2: Can I use horsepower instead of kilowatts?
A: Yes, but you'll need to convert horsepower to kilowatts first (1 hp = 0.7457 kW) or use a different constant in the formula.

Q3: What are typical torque values for different applications?
A: Torque values vary widely depending on application - from small electric motors (0.1-10 Nm) to large industrial engines (1000-10000+ Nm).

Q4: How does torque relate to mechanical power?
A: Power is the rate of doing work, while torque is the rotational force. Power = Torque × Angular Velocity.

Q5: Are there limitations to this calculation?
A: This calculation assumes constant torque and speed. For variable conditions or systems with significant inertia, more complex calculations may be needed.

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