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Calculate Torque From Power And Speed

Torque Formula:

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

W
rad/s

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1. What is the Torque Formula?

The torque formula T = P/ω calculates torque from power and angular speed. Torque represents the rotational force applied to an object, while power is the rate at which work is done, and angular speed is the rate of rotation.

2. How Does the Calculator Work?

The calculator uses the torque formula:

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

Where:

Explanation: This formula shows the inverse relationship between torque and angular speed for a given power output. Higher rotational speeds produce lower torque, and vice versa.

3. Importance of Torque Calculation

Details: Torque calculation is essential in mechanical engineering, automotive design, and industrial applications for determining the rotational force needed for various machinery and equipment.

4. Using the Calculator

Tips: Enter power in watts (W) and angular speed in radians per second (rad/s). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: Power should be in watts (W) and angular speed in radians per second (rad/s) for the result to be in newton-meters (Nm).

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

Q3: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to convert to rad/s.

Q4: What is the relationship between torque and power?
A: For a given power, torque decreases as rotational speed increases, and increases as rotational speed decreases.

Q5: Where is this calculation commonly used?
A: This calculation is used in automotive engineering (engine performance), electric motor design, mechanical systems, and industrial machinery applications.

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