1. What is Moment of Force?

Definition: The moment of force (or torque) is a measure of the tendency of a force to rotate an object about an axis or pivot.

Purpose: It helps engineers and physicists analyze rotational systems and design mechanical components.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \tau \) — Moment of force (Newton meters, N m)
• \( F \) — Applied force (Newtons, N)
• \( r \) — Distance from pivot (meters, m)
• \( \theta \) — Angle between force and lever arm (degrees)

Explanation: The force is multiplied by the lever arm length and the sine of the angle between them.

3. Importance of Moment of Force

Details: Understanding torque is crucial for designing structures, machines, and analyzing rotational motion in physics.

4. Using the Calculator

Tips: Enter the force in Newtons, distance in meters, and angle in degrees (default 90°). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What happens when θ = 90°?
A: At 90°, sin(θ) = 1, so τ = F × r (maximum torque for given force and distance).

Q2: What's the unit for moment of force?
A: Newton meters (N m) in the SI system.

Q3: How does angle affect the moment?
A: The moment is maximum at 90° and decreases as the angle approaches 0° or 180°.

Q4: What's a practical example of this calculation?
A: Calculating the torque needed to turn a wrench or the rotational force on a door hinge.

Q5: Can this be used for 3D systems?
A: This calculator handles 2D cases. For 3D, you'd need vector cross products.