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Torque RPM Power Equation

Power Formula:

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

lb-ft
rev/min

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1. What is the Torque RPM Power Equation?

Definition: This equation calculates mechanical power output based on torque and rotational speed (RPM).

Purpose: It helps engineers and mechanics determine the power output of rotating machinery like engines, motors, and turbines.

2. How Does the Equation Work?

The equation is:

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

Where:

Explanation: The formula converts rotational work (torque × angular displacement) to power by accounting for time.

3. Importance of Power Calculation

Details: Accurate power calculations are essential for engine performance analysis, motor sizing, and mechanical system design.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Can I use different units for torque?
A: Yes, but you'll need to adjust the formula. For N·m torque, remove the 60 denominator (result in watts).

Q2: What's the difference between power and torque?
A: Torque is rotational force, while power is the rate of doing work (torque × angular velocity).

Q3: Why does power increase with RPM at constant torque?
A: Because more work is done per unit time at higher rotational speeds.

Q4: How do I convert watts to horsepower?
A: Divide watts by 745.7 to get horsepower (hp).

Q5: What's a typical torque value for car engines?
A: Passenger car engines typically produce 100-300 lb-ft of torque.

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