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Motor Torque Calculator

Motor Torque Equation:

\[ \tau = \frac{P}{\omega} \]

watts
rad/s

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1. What is Motor Torque?

Torque is a rotational force that causes angular acceleration. In motors, it represents the turning force the motor can generate. The relationship between power, speed, and torque is fundamental in motor selection and performance analysis.

2. How Does the Calculator Work?

The calculator uses the torque equation:

\[ \tau = \frac{P}{\omega} \]

Where:

Explanation: This equation shows that for a given power, torque is inversely proportional to speed. Higher speed means lower torque at the same power level.

3. Importance of Torque Calculation

Details: Calculating torque is essential for selecting appropriate motors for applications, understanding motor performance characteristics, and ensuring the motor can handle the required mechanical load.

4. Using the Calculator

Tips: Enter power in watts and angular speed in radians per second. Both values must be positive numbers. For RPM to rad/s conversion, multiply RPM by 0.10472.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between torque and power?
A: Power is the rate of doing work, while torque is the rotational force. Power = Torque × Angular Speed.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 0.10472 (2π/60). For example, 1000 RPM = 1000 × 0.10472 = 104.72 rad/s.

Q3: What are typical torque values for electric motors?
A: Small motors might produce 0.1-1 Nm, while industrial motors can produce hundreds of Nm. It depends on motor size and design.

Q4: Why does torque decrease as speed increases?
A: For a given power, torque must decrease as speed increases because power is the product of torque and speed.

Q5: How does this relate to vehicle performance?
A: High torque at low speeds provides better acceleration, while high power determines top speed. This is why diesel engines (high torque) are good for towing.

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