Resultant Force Calculator

This calculator computes the resultant force by adding multiple forces vectorially, taking into account both magnitude and direction.

Input Parameters

Calculation Results

Calculation Formula

The resultant force R is calculated by vector addition of all forces:

R_x = Σ F_i cos(θ_i)
R_y = Σ F_i sin(θ_i)
R = √(R_x² + R_y²)
θ = arctan(R_y / R_x)

Where:
F_i = magnitude of force i
θ_i = angle of force i (measured from positive x-axis, counter-clockwise)
R = resultant force magnitude
θ = resultant force direction (angle)

Resultant Force

Magnitude:

0.00 N

Direction:

0.00°

Components

X-component:

0.00 N

Y-component:

0.00 N

Resultant Force Calculator Usage Guide

Learn how to use the Resultant Force Calculator calculator and its working principles

How to Use This Calculator

  1. Add the number of forces you want to calculate by clicking the "Add Force" button.
  2. For each force, enter its magnitude (in Newtons) and angle (in degrees) relative to the positive x-axis (measured counter-clockwise).
  3. Click the "Calculate" button to compute the resultant force.
  4. The calculator will display the resultant force magnitude, direction, and its x and y components.

Understanding Resultant Force

The resultant force is the single force that has the same effect as multiple forces combined. It can be calculated by vector addition of all forces acting on a point.

Example

Suppose you have two forces:

  • Force 1: 10 N at 30°
  • Force 2: 15 N at 120°

Enter these values in the calculator and click "Calculate" to find the resultant force and its direction.

Applications

This calculator is useful in:

  • Physics problems involving multiple forces
  • Engineering calculations for structural analysis
  • Mechanical systems design
  • Navigation and aerospace applications