Normal force calculator

Normal force on an incline = mass × gravitational acceleration × cos(incline angle).

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Mass (kg)

Incline angle (degrees)

More inputs and assumptions

Local gravity (m/s²)

Answer

…

Normal force on an incline = mass × gravitational acceleration × cos(incline angle).

More results

Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Step-by-step calculation

Inputs are substituted below. Each line evaluates the next operation; intermediate values are displayed to 12 significant digits while the calculation uses full precision.

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Formula and assumptions

Assumes no other forces perpendicular to the surface and no perpendicular acceleration. Gravity is your editable assumption.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Normal force calculator

Normal force on an incline = mass × gravitational acceleration × cos(incline angle).

Assumes no other forces perpendicular to the surface and no perpendicular acceleration. Gravity is your editable assumption.

Next: Basic calculator

A worked example

With mass (kg) = 10, incline angle (degrees) = 60, local gravity (m/s²) = 10, the normal force (n) is 50.

Before you use the result

Assumes no other forces perpendicular to the surface and no perpendicular acceleration. Gravity is your editable assumption.

Example results for mass (kg)

These examples use Incline angle (degrees): 60; Local gravity (m/s²): 10. They are reference calculations, not recommended settings.

Mass (kg)	Normal force (N)
5	25
10	50
20	100

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