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 at which the force is applied.

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)
• \( d \) — Perpendicular distance from axis in meters (m)
• \( \theta \) — Angle between force vector and lever arm in degrees

Explanation: The equation accounts for the effective component of force that produces rotation, which depends on the sine of the angle between the force and lever arm.

3. Importance of Moment Calculation

Details: Calculating moment of force is crucial in mechanical engineering, structural analysis, and physics to determine rotational effects, balance systems, and design mechanical components.

4. Using the Calculator

Tips: Enter force in Newtons, distance in meters, and angle in degrees (0-90). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What happens when θ = 90°?
A: At 90°, sin(θ) = 1, so M = F × d (maximum moment). The force is perfectly perpendicular to the lever arm.

Q2: What happens when θ = 0°?
A: At 0°, sin(θ) = 0, so M = 0. The force is parallel to the lever arm and produces no rotation.

Q3: What are typical units for moment?
A: The SI unit is Newton-meter (N·m). Other units include pound-foot (lb·ft) or pound-inch (lb·in).

Q4: How does angle affect the moment?
A: Moment increases with angle up to 90° (maximum), then decreases symmetrically up to 180°.

Q5: Is this the same as torque?
A: Yes, moment of force is generally synonymous with torque in mechanical contexts.