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Normal Force on a Slope Calculator

🧱 Forces & Newton’s laws. Use the Normal force on a slope formula to find normal force, mass, slope angle θ, g: pick the value you want, type the others, and the answer updates as you go.

N=mgcos⁡θN = mg\cos\theta
Normal force80.359 N

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Normal forceN
Masskg
Slope angle θ°
gN/kg

Worked example

Find the normal force when Mass = 10 kg, Slope angle θ = 35 °, g = 9.81 N/kg.

Using N = mgcosθ: Normal force = 80.359 N.

Frequently asked questions

What is the formula for Normal force on a slope?

N = mgcosθ.

What do the letters stand for, and what units are used?

Normal force in N, Mass in kg, Slope angle θ in °, g in N/kg.

How do you calculate normal force?

Put the values into N = mgcosθ. For example, with Mass = 10 kg, Slope angle θ = 35 °, g = 9.81 N/kg, normal force = 80.359 N.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (normal force, mass, slope angle θ, g) and fill in the others: it rearranges the formula for you.

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