Torque Calculation from Power

Torque Formula:

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

Torque (T): lb-ft

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Torque Calculation from Power?

Definition: This calculator determines the torque produced by a rotating system based on its power output and rotational speed.

Purpose: It helps engineers and mechanics understand the relationship between power, speed, and torque in mechanical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula converts power in watts to torque in pound-feet, accounting for the rotational speed.

3. Importance of Torque Calculation

Details: Torque is crucial for designing mechanical systems, selecting motors, and understanding performance characteristics of engines and rotating machinery.

4. Using the Calculator

Tips: Enter the power in watts and rotational speed in RPM. Both values must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units does this calculator use?
A: Power in watts, speed in RPM, and torque in pound-feet (lb-ft).

Q2: Can I use horsepower instead of watts?
A: First convert horsepower to watts (1 HP = 745.7 watts) before using this calculator.

Q3: Why does torque decrease as RPM increases?
A: For a given power output, torque must decrease as speed increases because power is the product of torque and angular velocity.

Q4: What's a typical torque value for an electric motor?
A: This varies greatly, but a 1 HP motor at 1750 RPM produces about 3 lb-ft of torque.

Q5: How accurate is this calculation?
A: It provides theoretical torque under ideal conditions. Real-world values may differ due to efficiency losses.