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Calculate Rotational Torque

Rotational Torque Equation:

\[ \tau = I \times \alpha \]

kg m²
rad/s²

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1. What is Rotational Torque?

Rotational torque (τ) is a measure of the force that can cause an object to rotate about an axis. It's the rotational equivalent of linear force and depends on the moment of inertia and angular acceleration.

2. How Does the Calculator Work?

The calculator uses the rotational torque equation:

\[ \tau = I \times \alpha \]

Where:

Explanation: The torque required to produce a given angular acceleration is proportional to the body's moment of inertia.

3. Importance of Torque Calculation

Details: Calculating rotational torque is essential in mechanical engineering, vehicle dynamics, robotics, and any system involving rotational motion.

4. Using the Calculator

Tips: Enter moment of inertia in kg m² and angular acceleration in rad/s². Both values must be valid (moment of inertia > 0).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between torque and moment?
A: While often used interchangeably, torque specifically refers to rotational force, while moment can refer to rotational effect of any kind.

Q2: How is moment of inertia different from mass?
A: Moment of inertia depends on both mass and its distribution relative to the axis of rotation, not just the total mass.

Q3: What are typical units for torque?
A: The SI unit is Newton-meters (Nm), but pound-feet (lb-ft) is also commonly used.

Q4: Can torque be negative?
A: Yes, negative torque indicates rotation in the opposite direction from the defined positive direction.

Q5: How does torque relate to power?
A: Power is the product of torque and angular velocity (P = τ × ω).

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