Calculate Torque From Power And Rpm

Torque Formula:

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

Torque (T):

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1. What is the Torque Formula?

The torque formula calculates the rotational force (torque) produced by a motor or engine based on its power output and rotational speed (RPM). This relationship is fundamental in mechanical engineering and physics.

2. How Does the Calculator Work?

The calculator uses the torque formula:

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

Where:

\( T \) — Torque (Newton-meters)
\( P \) — Power (watts)
\( RPM \) — Rotations per minute
\( \pi \) — Mathematical constant (approximately 3.1416)
60 — Conversion factor from minutes to seconds

Explanation: The formula converts power (work per unit time) to torque (rotational force) by accounting for the rotational speed and necessary unit conversions.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate motors and engines, and ensuring proper performance in various applications from automotive to industrial machinery.

4. Using the Calculator

Tips: Enter power in watts and RPM in revolutions per minute. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a 60 in the numerator?
A: The factor of 60 converts minutes to seconds since power is measured in watts (joules/second) while RPM is in revolutions per minute.

Q2: What are typical torque values for different applications?
A: Torque values vary widely - small electric motors may produce fractions of N·m, while large engines can produce hundreds or thousands of N·m.

Q3: Can this formula be used for any rotating system?
A: Yes, this formula applies to any system where power and rotational speed are known, though efficiency losses should be considered in practical applications.

Q4: How does torque relate to horsepower?
A: Horsepower can be converted to watts (1 HP = 745.7 watts) and then used in this formula to calculate torque.

Q5: What if I have power in different units?
A: Convert all power values to watts before using this calculator. Common conversions: 1 HP = 745.7W, 1 kW = 1000W.