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Torque Calculator

📐 Physics of Matter. Use the Torque formula to find torque τ, lever arm, force, angle θ: pick the value you want, type the others, and the answer updates as you go.

τ=rFsin⁡θ\tau = rF\sin\theta
Torque τ10 N·m

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
Torque τN·m
Lever armm
ForceN
Angle θ°

Worked example

Find the torque τ when Lever arm = 0.5 m, Force = 20 N, Angle θ = 90 °.

Using τ = rFsinθ: Torque τ = 10 N·m.

Frequently asked questions

What is the formula for Torque?

τ = rFsinθ.

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

Torque τ in N·m, Lever arm in m, Force in N, Angle θ in °.

How do you calculate torque τ?

Put the values into τ = rFsinθ. For example, with Lever arm = 0.5 m, Force = 20 N, Angle θ = 90 °, torque τ = 10 N·m.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (torque τ, lever arm, force, angle θ) and fill in the others: it rearranges the formula for you.

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