1. What is the Motor Power from Torque and Speed Formula?

Definition: This calculator determines the mechanical power output of a motor based on its torque and rotational speed.

Purpose: It helps engineers and technicians evaluate motor performance and select appropriate motors for mechanical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P_w \) — Power in watts
• \( T \) — Torque in pound-feet (lb-ft)
• \( RPM \) — Rotational speed in revolutions per minute
• \( 2\pi \) — Conversion factor for radians per revolution
• \( 60 \) — Conversion factor for seconds per minute

Explanation: The formula converts rotational motion (torque × speed) to linear power, accounting for unit conversions.

3. Importance of Motor Power Calculation

Details: Accurate power calculation ensures proper motor sizing, energy efficiency, and system reliability in applications from industrial machinery to vehicles.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is power in watts and horsepower?
A: Watts are the SI unit, while horsepower is commonly used in mechanical systems (1 HP = 745.7 watts).

Q2: Can I use different torque units?
A: The formula requires lb-ft. For N·m, multiply by 1.3558 to convert to lb-ft first.

Q3: What's typical torque for electric motors?
A: Small motors (1-5 HP) might produce 3-15 lb-ft, while industrial motors can produce hundreds of lb-ft.

Q4: How does speed affect power?
A: Power is directly proportional to both torque and speed - doubling either doubles the power.

Q5: What if my motor has variable speed?
A: Use the maximum torque at each speed point to calculate power throughout the operating range.