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Lever Balance (Law of the Lever) Calculator

Find the force needed to balance a lever.

Inputs

Results

Balancing force600N
Mechanical advantage3

Chart

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How to use the lever balance calculator

Find the force needed to balance a lever. Enter force 1, distance 1, distance 2 in the fields above; the balancing force, mechanical advantage are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Balancing force (N) = F1 Γ— d1 / d2
Mechanical advantage = d1 / d2

Variables

  • F1 β€” Force 1 (N)
  • d1 β€” Distance 1 (m)
  • d2 β€” Distance 2 (m)

Worked example

With force 1 = 200 N, distance 1 = 1.5 m, distance 2 = 0.5 m, the calculator gives balancing force β‰ˆ 600 N; mechanical advantage β‰ˆ 3.

Frequently asked questions

What is the formula for the lever balance calculation?

Balancing force (N) = F1 Γ— d1 / d2. Mechanical advantage = d1 / d2. Here F1 is force 1 (N), d1 is distance 1 (m), d2 is distance 2 (m).

What inputs do I need for the lever balance (law of the lever) calculator?

You need force 1 in N, distance 1 in m, distance 2 in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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