1. What is Torque Calculation?

Torque calculation using the formula T = m × g × r determines the rotational force generated by a mass at a certain distance from the axis of rotation, under the influence of gravity.

2. How Does the Calculator Work?

The calculator uses the torque equation:

Where:

• \( T \) — Torque (Newton-meters)
• \( m \) — Mass (kilograms)
• \( g \) — Gravitational acceleration (m/s²)
• \( r \) — Radius or distance from axis (meters)

Explanation: This formula calculates the torque produced by a hanging weight where the force is the weight of the object (mass × gravity) acting at a perpendicular distance from the pivot point.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential in mechanical engineering, automotive design, robotics, and various applications involving rotational systems and force analysis.

4. Using the Calculator

Tips: Enter mass in kilograms, gravitational acceleration in m/s² (default is Earth's gravity 9.81 m/s²), and radius in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the standard value for gravitational acceleration?
A: On Earth, the standard value is 9.81 m/s², but this may vary slightly depending on location and altitude.

Q2: Can this formula be used for any rotational system?
A: This specific formula applies to systems where torque is generated by a hanging weight. Other systems may require different torque formulas.

Q3: How does radius affect torque?
A: Torque is directly proportional to radius - doubling the radius doubles the torque for the same mass and gravity.

Q4: What units should I use for accurate results?
A: Use kilograms for mass, meters per second squared for gravity, and meters for radius to get torque in Newton-meters.

Q5: Can I calculate torque for different planets?
A: Yes, simply adjust the gravitational acceleration value for the specific celestial body (e.g., 1.62 m/s² for the Moon, 3.71 m/s² for Mars).