Boneyard Tools

Lever Calculator

Pick which of the four lever quantities you want to solve for, then enter the other three. The tool applies the balance law, effort force times effort arm equals load force times load arm, to return the missing value and the mechanical advantage. Use it to size a crowbar, position a seesaw fulcrum, or check any first, second, or third class lever.

How to use the lever calculator

  1. In the Solve for menu, choose the unknown: effort force, effort arm, load force, or load arm.
  2. Enter the three remaining values in the boxes that appear.
  3. Keep forces in newtons and both arm lengths in the same unit, such as metres.
  4. Read the solved value and the mechanical advantage below.
  5. Click Copy to grab the result as text.

Examples

Solve for the effort force

Solve for effort force; load = 200 N, load arm = 0.5 m, effort arm = 2 m
effort force = 50 N, mechanical advantage = 4

Solve for the load arm

Solve for load arm; effort = 50 N, effort arm = 2 m, load = 200 N
load arm = 0.5 m, mechanical advantage = 4

Solve for the effort arm

Solve for effort arm; effort = 100 N, load = 500 N, load arm = 0.3 m
effort arm = 1.5 m, mechanical advantage = 5

Frequently asked questions

What is the law of the lever?

A lever balances about its fulcrum when the effort force times its arm equals the load force times its arm: effort force times effort arm equals load force times load arm. Each arm is the distance from the fulcrum to where that force acts.

How is mechanical advantage calculated here?

Mechanical advantage equals the load force divided by the effort force, which also equals the effort arm divided by the load arm. A value of 4 means the lever lets you lift a load four times your effort.

What are the effort arm and load arm?

The effort arm (de) is the distance from the fulcrum to the point where you push. The load arm (dl) is the distance from the fulcrum to the load. Both are measured along the lever, perpendicular to the force.

How many values do I need to enter?

Exactly three. Choose the fourth in the Solve for menu and its input box disappears, so you only ever fill in the three you know. The tool rearranges the balance equation for the remaining one.

What units should I use?

Use newtons for both forces and one consistent length unit for both arms, such as metres or centimetres. Because mechanical advantage is a ratio, its units cancel out and it stays the same whatever length unit you pick.

Do all values have to be positive?

Yes. Every entry must be a finite number greater than zero, since a lever arm or force of zero or below has no physical meaning here. A blank or non-numeric box shows a prompt instead of a result.

Does this work for first, second, and third class levers?

Yes. The balance law holds regardless of class, so the same equation covers a seesaw (first class), a wheelbarrow (second class), and tweezers (third class). Third class levers give a mechanical advantage below one, trading force for speed or range.

Does the lever's own weight factor in?

No. The calculation assumes a rigid, weightless beam and ignores friction at the fulcrum. For a heavy bar you would add its weight as an extra load at its centre of mass.

Is anything sent to a server?

No. The solve runs in your browser as you type. A JSON API exposes the same law of the lever if you want to call it from a script.

Learn more

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