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Torque from Power and RPM

Torque Formula:

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

watts
RPM
lb-ft

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1. What is Torque from Power and RPM?

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:

Explanation: The formula converts power in watts to torque in pound-feet by accounting for the rotational speed and necessary unit conversions.

3. Importance of Torque Calculation

Details: Understanding torque is crucial for designing mechanical systems, selecting motors, and ensuring proper operation of rotating equipment.

4. Using the Calculator

Tips: Enter the power in watts and rotational speed in RPM. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is 60 in the numerator?
A: The 60 converts seconds to minutes since power is energy per second (watts) and RPM is revolutions per minute.

Q2: What's the relationship between power, torque, and RPM?
A: Power is the product of torque and angular velocity. At constant power, torque decreases as RPM increases.

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: Why is torque important in engines?
A: Torque determines the rotational force available to do work, affecting acceleration and load-carrying capacity.

Q5: How does this relate to electric motors?
A: Motor performance curves often show torque vs. RPM at different power levels - this calculation helps interpret those curves.

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