Power from Torque and RPM Calculator

Power Formula:

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

Power (watts):

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1. What is a Power from Torque and RPM Calculator?

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

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

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)
\( 2\pi \) — Conversion factor for radians per revolution
\( 60 \) — Conversion factor for seconds per minute

Explanation: The formula converts torque and rotational speed into mechanical power by accounting for the angular velocity.

3. Importance of Power Calculation

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

4. Using the Calculator

Tips: Enter the torque in pound-feet and rotational speed in RPM. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for metric units?
A: This calculator uses imperial units (lb-ft). For metric (Nm), the formula is similar but the units conversion differs.

Q2: What's the relationship between torque and power?
A: Power is the product of torque and angular velocity. Higher RPM with the same torque means more power.

Q3: Why is 2π used in the formula?
A: 2π radians equals one full revolution, converting RPM to radians per second.

Q4: How accurate is this calculation?
A: It provides theoretical mechanical power. Actual power may differ due to efficiency losses.

Q5: Can I calculate horsepower instead of watts?
A: Yes, divide the result by 745.7 to convert watts to horsepower.