What Is the Torque Calculator?
Torque (τ) is the rotational effect of a force: τ = r × F × sin θ.
How Does the Torque Calculator Work?
Multiply the force by the perpendicular distance from the pivot (effective lever arm = r × sin θ).
Torque Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Maximum torque occurs at 90°. At 0° or 180°, the force is parallel to the arm and produces no torque.
How to Use the Torque Calculator
- Enter force in newtons, lever arm in metres, and the angle between them.
Step-by-Step Example Calculation
100 N at 0.5 m, 90°
Input Values:
force:100
distance:0.5
angle:90
Worked Steps: τ = 100 × 0.5 × sin(90°) = 50 N·m ≈ 36.9 ft·lb.
Understanding Your Result
N·m (newton-metres) is the SI unit. ft·lb is common in automotive specifications.
Factors That Affect the Result
- Angle: 90° gives maximum torque; 0° or 180° gives zero.
When Should You Use This Calculator?
- Mechanics, automotive engineering, bolt torque specs, robotics.
Assumptions & Limitations
- Assumes a rigid body and point force application.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard trigonometry; ft·lb conversion exact to 7 significant figures.