Work Calculator
Computes mechanical work W = F x d x cos(theta) in joules from a force in newtons, a distance in metres, and the angle in degrees between the force and the direction of motion.
What this calculator does
The Work Calculator estimates your result instantly from the values you enter, using standard science & engineering formulas. Computes mechanical work W = F x d x cos(theta) in joules from a force in newtons, a distance in metres, and the angle in degrees between the force and the direction of motion. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.
Result
About Work Calculator
This work calculator uses W = F·d·cos(θ), where F is the force in newtons, d is the distance in metres, and θ is the angle in degrees between the force and the direction of motion. The result is the mechanical work in joules (J).
The calculator converts the angle from degrees to radians internally. At 0° the force is fully aligned with motion and cos(θ) = 1; at 90° it does no work.
Formula & Mathematical Calculation
Work Done (J) = f(Force (N), Distance (m), Angle (degrees))
Calculated according to standard science formulas implemented in the calculator core.
Calculation Example
A 50 N force moving an object 10 m along its own direction (angle 0°) does W = 50 × 10 × cos(0°) = 50 × 10 × 1 = 500 J.
Key Benefits
- Applies W = F times d times cosine of the angle for realistic work at any direction
- Accepts the angle in degrees and converts to radians internally
- Correctly gives zero work when force is perpendicular to motion
- Returns work in joules to four decimal places
How to Use this Calculator
-
Enter the force
Type the applied force in newtons in the Force (N) field. -
Enter the distance
Type the distance moved in metres in the Distance (m) field. -
Enter the angle
Type the angle in degrees between the force and the direction of motion in the Angle (degrees) field, then press Calculate.
Assumptions & Limitations
What the calculation assumes
- Every value you enter is treated as an exact, known amount.
- Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
- Results use standard published formulas and account only for the values entered above.
- Rounding is applied for display; the underlying calculation uses your full precision.
- Results are returned in the same units you enter, unless the tool states the output unit.
What it does not cover
- Work Calculator produces a calculated result for reference and learning, not a certified or official measurement.
- Real-world outcomes differ when tolerances, rounding rules or local standards apply.
- Definitions and standards vary by region and change over time; verify the convention that applies to your case.
- Figures are only as accurate as the inputs you supply — check them before acting on the result.
- For work where the result carries real consequences, confirm it against an authoritative source.
Frequently Asked Questions
Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.