1. What is Moment of Force with Angle?

Definition: This calculator determines the torque (moment of force) produced when a force acts at an angle to a lever arm.

Purpose: It helps engineers, physicists, and students analyze rotational systems where forces aren't applied perpendicularly.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \tau \) — Torque (Newton meters)
• \( F \) — Applied force (Newtons)
• \( r \) — Distance from pivot (meters)
• \( \theta \) — Angle between force and lever arm (degrees)

Explanation: The sine function accounts for the angular component of the force that contributes to rotation.

3. Importance of Torque Calculation

Details: Accurate torque calculations are essential for designing mechanical systems, analyzing rotational equilibrium, and understanding rotational dynamics.

4. Using the Calculator

Tips: Enter the force magnitude, distance from pivot point, and angle between force and lever arm. Angle must be between 0° and 90°.

5. Frequently Asked Questions (FAQ)

Q1: What happens at 0° and 90° angles?
A: At 0° (parallel), torque is 0. At 90° (perpendicular), torque is maximum (F × r).

Q2: Why use sine instead of cosine?
A: We use sine because torque depends on the perpendicular component of force to the lever arm.

Q3: What units should I use?
A: Force in Newtons (N), distance in meters (m), angle in degrees (°). Result is in N m.

Q4: Does this work for 3D systems?
A: This is for 2D systems. 3D systems require vector cross products for full analysis.

Q5: How does angle affect torque?
A: Torque increases from 0° to 90°, reaching maximum at perpendicular application.