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Torque Calculator From Power

Torque Equation:

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

W
rad/s

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1. What is the Torque From Power Equation?

The torque from power equation calculates the rotational force (torque) produced by a system based on its power output and angular velocity. It is a fundamental relationship in mechanical engineering and physics.

2. How Does the Calculator Work?

The calculator uses the torque equation:

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

Where:

Explanation: This equation shows that torque is directly proportional to power and inversely proportional to angular velocity.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, evaluating engine performance, and ensuring proper operation of rotating machinery.

4. Using the Calculator

Tips: Enter power in watts and angular velocity in radians per second. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: Power should be in watts (W) and angular velocity in radians per second (rad/s) for torque in newton-meters (N·m).

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 get rad/s.

Q4: What is the relationship between torque and power?
A: Power is the product of torque and angular velocity (P = τ × ω). This calculator solves for torque given power and angular velocity.

Q5: When is this calculation most useful?
A: This calculation is particularly useful in automotive engineering, industrial machinery design, and any application involving rotating systems.

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