1. What is Moment of Force?

The moment of force (or torque) is a measure of the tendency of a force to rotate an object about an axis. It depends on the magnitude of the force, the distance from the axis, and the angle between the force vector and the lever arm.

2. How Does the Calculator Work?

The calculator uses the moment of force equation:

Where:

• \( M \) — Moment of force (torque) in N·m
• \( F \) — Applied force in Newtons (N)
• \( d \) — Distance from axis in meters (m)
• \( \theta \) — Angle between force vector and lever arm in degrees

Explanation: The equation accounts for the perpendicular component of the force that contributes to rotation. The maximum moment occurs when θ = 90° (sin(90°) = 1).

3. Importance of Moment Calculation

Details: Calculating moment of force is crucial in mechanical engineering, physics, and structural design to ensure proper balance, rotation, and stability of systems.

4. Using the Calculator

Tips: Enter force in Newtons, distance in meters, and angle in degrees (0-360). All values must be valid (force > 0, distance > 0, angle between 0-360).

5. Frequently Asked Questions (FAQ)

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

Q2: What angle gives maximum moment?
A: Maximum moment occurs at 90° when the force is perpendicular to the lever arm (sin(90°) = 1).

Q3: What units are used for moment?
A: The SI unit is Newton-meter (N·m). In imperial systems, pound-feet (lb·ft) is commonly used.

Q4: How does moment relate to equilibrium?
A: For an object to be in rotational equilibrium, the sum of all moments acting on it must be zero.

Q5: Can moment be negative?
A: Yes, moment can be negative indicating clockwise rotation (convention varies by context).