RPM and Torque to Power Calculator by Tons of Concrete

Power Formula:

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

Power (P_w):

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1. What is RPM and Torque to Power Calculator?

Definition: This calculator converts rotational speed (RPM) and torque to mechanical power in watts.

Purpose: It helps engineers and mechanics determine the power output of 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:

\( P_w \) — Power (watts)
\( T \) — Torque (pound-feet)
\( RPM \) — Rotational speed (revolutions per minute)
\( 2\pi \) — Constant for converting to radians
\( 60 \) — Converts minutes to seconds

Explanation: The formula calculates the power as the product of torque and angular velocity (in radians per second).

3. Importance of Power Calculation

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

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units does this calculator use?
A: Torque in pound-feet (lb-ft), RPM in revolutions per minute, and outputs power in watts.

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

Q3: Can I use Newton-meters for torque?
A: This calculator uses lb-ft. For Nm, multiply by 1.356 to convert to lb-ft first.

Q4: What's the relationship between power, torque, and RPM?
A: Power is directly proportional to both torque and RPM. Higher RPM or torque means more power.

Q5: Why is there a 2π in the formula?
A: This converts revolutions to radians (1 rev = 2π radians) since power calculations require angular velocity in radians per second.