Work Calculator
W = Fs
Answer
Work problems look straightforward—multiply force by distance—until you are converting pound-force to newtons, feet to meters, and checking whether your answer should be in joules or foot-pounds. This calculator handles unit conversions so you can focus on W = Fs instead of scratchpad arithmetic.
How to Use This Work Calculator
- Select a calculation mode. Solve for work W, force F, or displacement s. The output field grays out and shows (calculated).
- Enter the known values. Pick work, force, and displacement units per row—joules, pound-force, meters, feet, and more. Mixed units on one run are fine.
- Set significant figures. Leave auto for full precision, or choose 3–9 sig figs to match a lab worksheet or textbook problem.
- Press Calculate. The answer appears in the result panel and in the calculated field, with the formula used shown underneath.
Work Formulas and Practical Applications
In everyday language “work” means effort; in physics it means energy transferred when a force moves an object through a displacement. Push a filing cabinet two meters across a floor with a steady horizontal force and you have done mechanical work—the kind that can show up later as kinetic energy or heat from friction.
W = Fs
W is work (joules by default), F is force along the direction of motion, and s is displacement. Rearrange when you know different pairs: F = W / s and s = W / F.
Classroom check: F = 50 N and s = 4 m gives W = 200 J. One joule equals one newton-meter—the SI unit for both work and energy.
Where this shows up in real work
- Intro mechanics homework: find work from a known push and distance, or back-solve force from energy and displacement.
- Quick unit checks before comparing a hand calculation in lbf·ft to an answer key in joules.
- Connecting push distance to energy gained—pair results with the Kinetic Energy Calculator when speed changes.
Need force from mass and acceleration first? Use the Force Calculator, then return here with that force and a displacement.
Standard Units and Conversion Tables
Work (energy) units
| Unit | Symbol | Notes |
|---|---|---|
| Joule | J | SI default; 1 J = 1 N·m |
| Megajoule | MJ | 1 MJ = 10⁶ J |
| British thermal unit | BTU | Common in heating and US engineering specs |
| Calorie | cal | 1 cal ≈ 4.184 J (thermochemical calorie) |
Force units
| Unit | Symbol | Notes |
|---|---|---|
| Newton | N | SI default; 1 N = 1 kg·m/s² |
| Kilonewton | kN | 1 kN = 1,000 N |
| Pound-force | lbf | Common US mechanical loads |
| Kilogram-force | kgf | 1 kgf ≈ 9.80665 N |
| Kip | kip | 1 kip = 1,000 lbf |
| Dyne | dyn | CGS unit; 1 dyn = 10⁻⁵ N |
| Ounce-force | ozf | 1 ozf ≈ 0.278 N |
| Poundal | pdl | 1 pdl ≈ 0.138 N |
Displacement units
| Unit | Symbol | Notes |
|---|---|---|
| Meter | m | SI default |
| Centimeter | cm | 1 cm = 0.01 m |
| Foot | ft | 1 ft = 0.3048 m |
| Inch | in | 1 in = 0.0254 m |
| Kilometer | km | 1 km = 1,000 m |
| Mile | mi | 1 mi ≈ 1,609 m |
Frequently Asked Questions
What is the work equation in physics?
W = Fs—work equals force times displacement when force acts along the direction of motion.
What units does work use?
The SI unit is the joule (J). One joule equals one newton-meter. This tool also accepts MJ, BTU, and cal, and converts everything to joules before solving.
Which variable can this calculator solve for?
Pick Calculate W, Calculate F, or Calculate s from the dropdown. Enter the other two known values and press Calculate.
Can I mix unit systems in one calculation?
Yes. Enter force in lbf, displacement in feet, and work in joules if that is how your data is written; the tool converts to SI internally, then displays the answer in the unit you selected for the calculated variable.
What if force or displacement is zero?
You cannot divide by zero. Solving for force requires non-zero displacement; solving for displacement requires non-zero force.
For Newton’s second law, try the Force Calculator. For motion energy after work is done, use the Kinetic Energy Calculator or Gravitational Potential Energy Calculator. Browse all physics calculators on RapidRatio.
Disclaimer. Informational only—not professional engineering or laboratory advice. Verify critical designs with qualified analysis and calibrated measurements.