Power From Torque and Rpm Calculator Formula

Power Formula:

\[ P = Torque \times RPM \times \frac{2\pi}{60} \]

Power (P):

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1. What is the Power from Torque and RPM Formula?

The power formula calculates mechanical power from torque and rotational speed (RPM). It's fundamental in engineering to determine the power output of rotating machinery like engines, motors, and turbines.

2. How Does the Calculator Work?

The calculator uses the power formula:

\[ P = Torque \times RPM \times \frac{2\pi}{60} \]

Where:

\( P \) — Power in Watts (W)
\( Torque \) — Torque in Newton-meters (Nm)
\( RPM \) — Rotational speed in revolutions per minute
\( 2\pi/60 \) — Conversion factor from RPM to radians per second

Explanation: The formula converts RPM to angular velocity (rad/s) and multiplies by torque to get power.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing mechanical systems, selecting appropriate motors, and evaluating performance of rotating equipment.

4. Using the Calculator

Tips: Enter torque in Nm and RPM in rev/min. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between power and torque?
A: Torque is rotational force, while power is the rate of doing work (torque × angular velocity).

Q2: Can I use this for electric motors?
A: Yes, this applies to any rotating system where torque and RPM are known.

Q3: What are typical torque values?
A: Car engines: 100-500 Nm, Electric motors: varies widely by size from <1 Nm to thousands.

Q4: How does gear reduction affect power?
A: Power remains constant (minus efficiency losses), but gear reduction trades RPM for torque.

Q5: What if I have horsepower instead of watts?
A: 1 HP = 745.7 W. You can convert the result if needed.