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Friction Force Calculator

Friction Force Calculator works out Friction force and Coefficient of friction from Coefficient of friction, Normal force and Friction force. The default figures on this page give friction force of 50 N; change any entry and the result, the working and the sources update together.

Friction force
50 N
Friction Force Calculator
Coefficient of friction
0.5
Normal force
100 N
Deceleration from friction alone
4.903325 m/s^2
Worked out from Newtonian mechanics: v = dx/dt, F = ma, J = F dt = dp, and the work-energy relations and 2 other sources.

Your figures

Updates as you type
Typically between 0 and 1, though values above 1 occur for high-grip surfaces such as rubber on rubber.
Supplied instead of the normal force, which is then mass times gravity.

How this is worked out

2 steps
  1. F = mu N = 0.5 x 100 = 50 N
  2. Acting alone on 10.197162129779283 kg that is a deceleration of 4.903325 m/s^2.

Its 4 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

3 sources
Newtonian mechanics: v = dx/dt, F = ma, J = F dt = dp, and the work-energy relations
Standard results in any introductory mechanics text; the SI unit definitions are in the BIPM SI Brochure.
Coulomb friction model: F = mu N
The friction force is proportional to the normal force and independent of contact area in this model.

What the Friction Force Calculator calculates

Computes the friction force from the coefficient of friction and the normal force, and solves for either when the other two are known.

How to use this Friction Force Calculator

Enter Coefficient of friction, Normal force, Friction force and Mass on a level surface. Friction force updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Friction force, Coefficient of friction and Normal force.

The method follows Newtonian mechanics: v = dx/dt, F = ma, J = F dt = dp, and the work-energy relations, BIPM, The International System of Units (SI Brochure) and Coulomb friction model: F = mu N.

Research R3488-GT-1: mu 0.5 on a 100 N normal force example

With Coefficient of friction: 0.5, Normal force: 100, the calculator returns Friction force: 50. This example is checked against an independent source in the test suite.

What you can compare

Change one input at a time to see how it affects Friction force, Coefficient of friction and Normal force. The inputs you can vary are Coefficient of friction, Normal force, Friction force, Mass on a level surface and Gravity.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

Is there any formula for friction?

Computes the friction force from the coefficient of friction and the normal force, and solves for either when the other two are known. On the figures this page opens with — coefficient of friction 0.5 and normal force 100 N — the friction force is 50 N. Put your own figures in their place and the working updates beside the result.

How to find frictional force without coefficient?

Computes the friction force from the coefficient of friction and the normal force, and solves for either when the other two are known. Open “How this is worked out” beside the result to see each step for your own figures.

What is the equation for friction and normal force?

On the figures this page opens with — coefficient of friction 0.5 and normal force 100 N — the friction force is 50 N. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.

What is friction force?

Computes the friction force from the coefficient of friction and the normal force, and solves for either when the other two are known. On this page it is computed from Coefficient of friction, Normal force and Friction force and shown as Friction force, Coefficient of friction and Normal force.

What information do I need for the Friction Force Calculator?

You need Coefficient of friction, Normal force, Friction force, Mass on a level surface and Gravity. The page opens with default figures that give friction force of 50 N, so you can see the scale before entering your own.

What does this Friction Force Calculator show?

It shows Friction force, Coefficient of friction, Normal force and Deceleration from friction alone, with the working and any warnings for your entries.

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