The work calculator works out work (w), mass (m) and acceleration from displacement (d), final speed (v1), angle of force (θ), initial speed (v0), cos and force (f). Enter what you have and the relationship is applied straight away, so you get the answer without working through the algebra yourself.
What Is the Work Calculator?
This work calculator is for the kind of problem where you know the physical quantities but not the number you need. It turns displacement (d), final speed (v1), angle of force (θ), initial speed (v0), cos and force (f) into work (w), mass (m) and acceleration.
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 Work 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 displacement (d) set to 10, final speed (v1) set to 5, angle of force (θ) set to 2, the calculator returns time (t) of 0.19048, and acceleration of -498.75, and force (f) of 5. Substitute your own figures and the same steps produce the same kind of answer.
Frequently Asked Questions
What do I need to work out work (w)?
Enter displacement (d), final speed (v1), angle of force (θ), initial speed (v0), cos and force (f). The calculator then works through the relationship and reports work (w), mass (m) and acceleration.
What does the work actually calculate?
It takes displacement (d), final speed (v1), angle of force (θ), initial speed (v0), cos and force (f) and converts them into work (w), mass (m) and acceleration 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 displacement (d)?
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.
Is the answer exact?
It is as exact as the formula and the inputs allow. The method itself is the standard one for this problem, so the only sources of error are the figures you enter and the precision you ask for.