Torque Vs Rpm Calculator

Torque Formula:

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

Torque (T):

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1. What is the Torque vs RPM Formula?

The torque formula calculates the rotational force produced by a motor or engine at a given RPM from the power output. It provides a fundamental relationship between power, rotational speed, and torque in mechanical systems.

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 (Nm)
\( P \) — Power (W)
\( RPM \) — Rotational speed (revolutions per minute)
\( \pi \) — Mathematical constant pi (approximately 3.1416)
60 — Conversion factor from minutes to seconds

Explanation: The formula converts power (work per unit time) to torque (rotational force) at a specific rotational speed, accounting for unit conversions between seconds and minutes.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for mechanical design, motor selection, performance analysis, and ensuring proper operation of rotating machinery and automotive systems.

4. Using the Calculator

Tips: Enter power in watts, 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 60 converts minutes to seconds since power is measured in watts (joules per second) while RPM is in revolutions per minute.

Q2: Can I use different power units?
A: Yes, but you must convert to watts first. 1 horsepower = 745.7 watts, 1 kilowatt = 1000 watts.

Q3: What is the relationship between torque and RPM?
A: For constant power, torque decreases as RPM increases, following an inverse relationship as shown in the formula.

Q4: Does this formula work for electric motors and engines?
A: Yes, this fundamental relationship applies to all rotating machinery including electric motors, internal combustion engines, and turbines.

Q5: What are typical torque values for different applications?
A: Torque values vary widely - small electric motors may produce 0.1-10 Nm, automotive engines typically produce 100-500 Nm, while industrial motors can produce thousands of Nm.