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 formula:

Where:

• \( M \) — Moment of force (Nm)
• \( F \) — Applied force (N)
• \( d \) — Distance from axis (m)
• \( \theta \) — Angle between force and lever arm (degrees)

Explanation: The sine function accounts for the component of force that is perpendicular to the lever arm, which is what creates rotational motion.

3. Importance of Moment Calculation

Details: Calculating moment of force is essential in mechanical engineering, structural analysis, physics, and many practical applications involving rotation, such as bolts, levers, and rotating machinery.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum moment for a given force and distance?
A: Maximum moment occurs when the angle is 90 degrees, where sin(90°) = 1, giving M = F × d.

Q2: What happens when the angle is 0 degrees or 180 degrees?
A: At 0° or 180°, sin(θ) = 0, so the moment is zero because the force is parallel to the lever arm.

Q3: How does angle affect the moment?
A: The moment increases as the angle approaches 90° and decreases as it moves away from 90° in either direction.

Q4: What are typical units for moment of force?
A: Newton-meters (Nm) in the SI system, or pound-feet (lb-ft) in the imperial system.

Q5: Can this calculator be used for 3D problems?
A: This calculator handles the 2D case. For 3D problems, vector cross products are needed to calculate moments.