Torque Calculator
Calculate torque instantly in your browser — the published formula, worked locally with no data sent anywhere.
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What this tool does
Calculate torque instantly in your browser — the published formula, worked locally with no data sent anywhere. This is the physics torque (moment of force). It is not a bolt-tightening specification — fastener torque depends on thread friction, lubrication and the target preload, which is why the same bolt can need very different wrench settings.
How to use the Torque Calculator
- Enter or select force (n).
- Enter or select lever arm / radius (m).
- Enter or select angle between force and lever arm (degrees).
- Read the calculated result; change any measurement to compare alternatives.
Formula
torque τ = r × F × sin θ — the rotational effect of a force applied at a distance r from the axis, strongest when the force is perpendicular (θ = 90°).
- forceN
- Force (N)
- arm
- Lever arm / radius (m)
- angle
- Angle between force and lever arm (degrees)
This is the physics torque (moment of force). It is not a bolt-tightening specification — fastener torque depends on thread friction, lubrication and the target preload, which is why the same bolt can need very different wrench settings.
Worked example
For torque calculator, the following measurements illustrate the exact method: Force (N): 50; Lever arm / radius (m): 0.4; Angle between force and lever arm (degrees): 90.
Inputs
- Force (N)50
- Lever arm / radius (m)0.4
- Angle between force and lever arm (degrees)90
Result
- Torque (N·m)20
- Torque (ft·lbf)14.75
- Torque (in·lbf)177.01
Results explained
- Torque (N·m)
- Torque (N·m) from the formula above. This is the physics torque (moment of force). It is not a bolt-tightening specification — fastener torque depends on thread friction, lubrication and the target preload, which is why the same bolt can need very different wrench settings.
- Torque (ft·lbf)
- Torque (ft·lbf) from the formula above. This is the physics torque (moment of force). It is not a bolt-tightening specification — fastener torque depends on thread friction, lubrication and the target preload, which is why the same bolt can need very different wrench settings.
- Torque (in·lbf)
- Torque (in·lbf) from the formula above. This is the physics torque (moment of force). It is not a bolt-tightening specification — fastener torque depends on thread friction, lubrication and the target preload, which is why the same bolt can need very different wrench settings.
Frequently asked questions
torque τ = r × F × sin θ — the rotational effect of a force applied at a distance r from the axis, strongest when the force is perpendicular (θ = 90°).
This is the physics torque (moment of force). It is not a bolt-tightening specification — fastener torque depends on thread friction, lubrication and the target preload, which is why the same bolt can need very different wrench settings.
Torque grows with the lever arm r. Halving the distance from the hinge halves the turning effect of the same push — and pushing straight toward the hinge (θ ≈ 0°) gives almost no torque at all.
Every field is labelled with its unit — enter values in exactly the labelled unit and read the result in the labelled output unit. Fields with a unit symbol also support the site-wide imperial/metric switch, which converts before the formula runs.
It uses double-precision arithmetic and the published constants and formulas named on this page. The last displayed digit may be rounded, and real conditions can differ from the idealized model described in the assumptions.
Yes. Every calculation runs entirely in your browser; nothing you enter is uploaded, stored or shared.