1. What is Torque at an Angle?

Definition: Torque (τ) is the rotational equivalent of linear force, calculated when a force is applied at an angle to a lever arm.

Purpose: This calculation is essential in mechanical engineering, physics, and any application involving rotational systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \tau \) — Torque (Newton meters, N m)
• \( F \) — Force (Newtons, N)
• \( r \) — Radius or lever arm (meters, m)
• \( \theta \) — Angle between force and lever (degrees)

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

3. Importance of Torque Calculation

Details: Proper torque calculation ensures mechanical systems operate efficiently without under- or over-rotation.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why does angle affect torque?
A: Only the perpendicular component of force creates torque. At 90°, all force contributes; at 0°, none does.

Q2: What's the maximum torque possible?
A: Maximum occurs at 90° when sin(θ)=1. The torque then equals F × r.

Q3: How does torque relate to work?
A: Torque × angular displacement = work done in rotation.

Q4: What if my angle is greater than 90°?
A: The calculator handles 0-90°. For angles >90°, use (180°-θ) in the calculation.

Q5: What units should I use?
A: Consistent SI units (Newtons, meters) yield torque in Newton-meters.