The fulcrum calculator takes effort (fe), effort (fe), effort (fe), load (fr), load (fr), load (fr), length of the lever (l), length of the lever (l) and length of the lever (l) and returns length of the effort arm (de), length of the load arm (dr) and mechanical advantage. It is built for quick answers, for checking somebody else’s arithmetic, and for the moments when a formula book is not within reach.
What Is the Fulcrum Calculator?
This fulcrum calculator is for the kind of problem where you know the physical quantities but not the number you need. It turns effort (fe), effort (fe), effort (fe), load (fr), load (fr), load (fr), length of the lever (l), length of the lever (l) and length of the lever (l) into length of the effort arm (de), length of the load arm (dr) and mechanical advantage.
Physics calculations go wrong in predictable ways, usually through mixing units or dropping a digit. Work through the result one step at a time and check that the figures are the size you would expect at each stage.
How the Fulcrum Physics Works
The relationship is applied step by step, and each step is a standard piece of physics rather than a single opaque formula. That means you can check the intermediate values against what the theory predicts, which is usually faster than checking only the final answer.
Keep every value in the same unit system throughout the calculation. Mixing metres and feet part way through is the single most common reason a correct formula gives a wrong answer.
Units, Assumptions and the Limits of the Model
The calculation assumes ideal conditions: no air resistance, no heat loss, and dimensions that do not change while you work. Those assumptions are reasonable for most classroom and engineering estimates, and unreasonable for anything more precise.
Where a value is a rate, it has to be quoted for the same period as everything else. A per-hour figure cannot be combined with a per-day figure without converting one of them first.
A Worked Example
Working through an example, with effort (fe) set to 10, effort (fe) set to 5, effort (fe) set to 2, the calculator returns mechanical advantage of 10, and length of the load arm (dr) of 0.18182, and length of the effort arm (de) of 1.81818. Substitute your own figures and the same steps produce the same kind of answer.
Frequently Asked Questions
What do I need to work out length of the effort arm (de)?
Enter effort (fe), effort (fe), effort (fe), load (fr), load (fr), load (fr), length of the lever (l), length of the lever (l) and length of the lever (l). The calculator then works through the relationship and reports length of the effort arm (de), length of the load arm (dr) and mechanical advantage.
What does the fulcrum actually calculate?
It takes effort (fe), effort (fe), effort (fe), load (fr), load (fr), load (fr), length of the lever (l), length of the lever (l) and length of the lever (l) and converts them into length of the effort arm (de), length of the load arm (dr) and mechanical advantage using the standard relationship for this problem. Each step is applied in turn, so every output is traceable back to the numbers you typed in.
How should I enter effort (fe)?
Use the value you actually have, in the unit shown next to the field. Enter every value in the same unit system. The calculator assumes the figures you supply are consistent, so it cannot correct a mistake that happens before the calculation starts.
Do I have to fill in every field?
Only the fields a particular result depends on. If you leave one blank, the results that need it simply show a note instead of a number, and everything else still works.
Does anything you type get stored?
No. The whole calculation runs inside your browser, and nothing you enter is uploaded, logged or sent anywhere.