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Shaft to Torque Calculator

Torque Equation:

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

watts
rad/s

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1. What is the Torque Equation?

The torque equation (τ = P/ω) relates shaft power (P) to torque (τ) through angular speed (ω). It's fundamental in mechanical engineering for analyzing rotating systems.

2. How Does the Calculator Work?

The calculator uses the torque equation:

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

Where:

Explanation: The equation shows that torque is directly proportional to power and inversely proportional to angular speed.

3. Importance of Torque Calculation

Details: Torque calculation is essential for designing mechanical systems, selecting motors, analyzing performance, and ensuring components can handle mechanical stresses.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (1 RPM = 0.10472 rad/s).

Q2: 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.

Q3: Can I use horsepower instead of watts?
A: Yes, but convert to watts first (1 HP = 745.7 watts).

Q4: What are typical torque values for electric motors?
A: Varies greatly by motor size - from <1 Nm for small motors to >1000 Nm for industrial motors.

Q5: How does torque relate to acceleration?
A: Angular acceleration = Torque / Moment of inertia (τ = Iα).

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