Power to Torque Formula

Power to Torque Formula:

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

Torque (T): lb-ft

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1. What is the Power to Torque Formula?

Definition: This calculator converts mechanical power in watts to torque in pound-feet (lb-ft) given the rotational speed in RPM.

Purpose: It helps engineers and mechanics understand the torque output of motors and engines based on their power and rotational speed.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( T \) — Torque (lb-ft)
\( P_w \) — 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 (energy per unit time) to torque (rotational force) considering the rotational speed.

3. Importance of Power to Torque Conversion

Details: Understanding the relationship between power and torque is crucial for designing mechanical systems, selecting motors, and analyzing performance.

4. Using the Calculator

Tips: Enter the power in watts and rotational speed in RPM. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is 60 in the numerator?
A: It converts power in watts (joules/second) to account for the minute unit in RPM.

Q2: Why is 2π in the denominator?
A: It converts revolutions to radians since torque is measured per radian of rotation.

Q3: Can I use horsepower instead of watts?
A: Yes, but you'll need to convert horsepower to watts first (1 HP = 745.7 watts).

Q4: What's a typical torque range for electric motors?
A: Small motors might produce 1-10 lb-ft, while industrial motors can produce hundreds of lb-ft.

Q5: How does torque relate to vehicle performance?
A: Higher torque at lower RPM generally means better acceleration from a standstill.