engineering

Resultant Force Calculator

Find the resultant of multiple forces with magnitude and direction

Resultant Force Calculator

Find the resultant of multiple concurrent forces.

Magnitude (N)Angle (°)
F1
F2

Component Breakdown

ForceFx (N)Fy (N)
F186.60350.000
F2-69.28240.000
Σ17.32190.000
Resultant Magnitude (R)91.6515 N
Direction (θ)79.11°

Formula

R = √(ΣFx² + ΣFy²) = √(17.32² + 90.00²) = 91.6515 N
θ = atan2(ΣFy, ΣFx) = 79.11°

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Resultant Force Calculator. Most fields include unit selectors so you can work in your preferred unit system.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors.

3

Read the results

The Resultant Force Calculator instantly computes the output and displays results with units. All calculations happen in your browser — no loading time and no data sent to a server.

Formula Reference

Resultant Force Calculator Formula

See calculator inputs for the governing equation

Variables: All variables and their units are labeled in the calculator interface above.

When to Use This Calculator

  • Use the Resultant Force Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations.
  • Use it during the design phase to rapidly iterate on parameters before running detailed finite element simulations.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility.
  • Use it to generate reference data for a technical report or presentation without manual computation.

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