Friction Calculator
Calculate friction instantly in your browser — the published formula, worked locally with no data sent anywhere.
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What this tool does
Calculate friction instantly in your browser — the published formula, worked locally with no data sent anywhere. One μ is used for the friction limit; real surfaces have different static and kinetic coefficients, and μ depends on both materials and their condition (wet, icy, lubricated).
How to use the Friction Calculator
- Enter or select coefficient of friction (μ).
- Enter or select mass (kg).
- Enter or select incline angle (degrees, 0 = flat).
- Read the calculated result; change any measurement to compare alternatives.
Formula
friction force limit f = μ × N, where the normal force on an incline is N = m·g·cos θ. The actual static friction matches the applied force up to this limit; kinetic friction uses the (usually lower) kinetic μ.
- mu
- Coefficient of friction (μ)
- mass
- Mass (kg)
- angle
- Incline angle (degrees, 0 = flat)
One μ is used for the friction limit; real surfaces have different static and kinetic coefficients, and μ depends on both materials and their condition (wet, icy, lubricated).
Worked example
For friction calculator, the following measurements illustrate the exact method: Coefficient of friction (μ): 0.3; Mass (kg): 10; Incline angle (degrees, 0 = flat): 0.
Inputs
- Coefficient of friction (μ)0.3
- Mass (kg)10
- Incline angle (degrees, 0 = flat)0
Result
- Maximum friction force (N)29.42
- Normal force (N)98.07
- Weight (N)98.07
- Force pulling down the slope (N)0
- Will it slide on its own?No — static friction can hold it
Results explained
- Maximum friction force (N)
- Maximum friction force (N) from the formula above. One μ is used for the friction limit; real surfaces have different static and kinetic coefficients, and μ depends on both materials and their condition (wet, icy, lubricated).
- Normal force (N)
- Normal force (N) from the formula above. One μ is used for the friction limit; real surfaces have different static and kinetic coefficients, and μ depends on both materials and their condition (wet, icy, lubricated).
- Weight (N)
- Weight (N) from the formula above. One μ is used for the friction limit; real surfaces have different static and kinetic coefficients, and μ depends on both materials and their condition (wet, icy, lubricated).
- Force pulling down the slope (N)
- Force pulling down the slope (N) from the formula above. One μ is used for the friction limit; real surfaces have different static and kinetic coefficients, and μ depends on both materials and their condition (wet, icy, lubricated).
- Will it slide on its own?
- Will it slide on its own? from the formula above. One μ is used for the friction limit; real surfaces have different static and kinetic coefficients, and μ depends on both materials and their condition (wet, icy, lubricated).
Frequently asked questions
friction force limit f = μ × N, where the normal force on an incline is N = m·g·cos θ. The actual static friction matches the applied force up to this limit; kinetic friction uses the (usually lower) kinetic μ.
One μ is used for the friction limit; real surfaces have different static and kinetic coefficients, and μ depends on both materials and their condition (wet, icy, lubricated).
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.