Torque to Force Calculator
Convert torque (moment of force) to linear force instantly with our free online calculator. Perfect for engineering and physics applications.
Result
Formula Used
Where:
- F = Force (N or lb)
- τ = Torque (N·m or lb·ft)
- r = Radius/Lever arm (m or ft)
- θ = Angle between force and lever arm
How to Use the Torque to Force Calculator
- Enter the torque value in the input field
- Select the appropriate torque unit (N·m, lb·ft, etc.)
- Enter the radius or lever arm length
- Select the radius unit (m, cm, ft, etc.)
- Enter the angle between force and lever arm (default is 90° for perpendicular force)
- Click “Calculate Force” to get the result
Understanding Torque and Force Relationship
Torque (τ) is a rotational force that causes an object to rotate about an axis. The relationship between torque and linear force is given by the equation:
τ = r × F × sinθ
Where θ is the angle between the force vector and the lever arm. When the force is perpendicular to the lever arm (θ = 90°), the equation simplifies to τ = r × F.
Frequently Asked Questions
What is torque?
Torque is a measure of the rotational force applied to an object. It’s calculated as the product of the force and the perpendicular distance from the axis of rotation to the line of action of the force.
How do you convert torque to force?
To convert torque to force, divide the torque by the lever arm length (radius). If the force isn’t perpendicular, also divide by the sine of the angle between the force and lever arm.
What units can I use with this calculator?
Our calculator supports multiple units for torque (N·m, lb·ft, lb·in, kgf·m) and radius (m, cm, mm, ft, in). The force result will be in corresponding units (N or lb).
Why is angle important in torque calculations?
The angle determines how much of the applied force contributes to rotation. Only the perpendicular component of force (F × sinθ) creates torque. At 90°, all force contributes to torque.