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Power Calculation from Torque and RPM

Power Formula:

\[ P_w = \frac{T \times RPM \times 2\pi}{60} \]

lb-ft
rev/min

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1. What is Power Calculation from Torque and RPM?

Definition: This calculator determines the mechanical power output based on torque and rotational speed (RPM).

Purpose: It helps engineers and technicians calculate power in mechanical systems like engines, motors, and rotating machinery.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_w = \frac{T \times RPM \times 2\pi}{60} \]

Where:

Explanation: The formula converts torque and rotational speed to power by accounting for the angular velocity (2π radians per revolution) and converting minutes to seconds.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for system design, performance evaluation, and energy efficiency analysis in mechanical systems.

4. Using the Calculator

Tips: Enter the torque in pound-feet and rotational speed in RPM. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is power calculated in watts?
A: Watts are the SI unit of power, making it universally applicable for scientific and engineering calculations.

Q2: How do I convert the result to horsepower?
A: Divide the wattage by 745.7 to get horsepower (1 hp = 745.7 watts).

Q3: What if I have torque in Newton-meters?
A: First convert Nm to lb-ft (1 Nm = 0.7376 lb-ft) or modify the formula to use Nm directly.

Q4: Does this formula work for any rotating system?
A: Yes, it applies to any system where torque and rotational speed can be measured.

Q5: What's the significance of the 2π factor?
A: It converts revolutions to radians (1 revolution = 2π radians) since power calculations require angular velocity in radians.

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