Calculadora de Força Resultante

Fr = √(Fx²+Fy²) — módulo e ângulo da força resultante 2D.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Resultante Fr
50,00 N
Ângulo θ
53,13 °

Formula

Fr = √(Fx²+Fy²)

About this calculator

The Resultant Force Calculator allows you to determine the magnitude and angle of the resultant force from the horizontal (Fx) and vertical (Fy) components in a two-dimensional system. The resultant force is the vector sum of all forces acting on a body, with magnitude given by Fr = √(Fx²+Fy²) and angle θ calculated by θ = arctan(Fy/Fx).

To use the tool, enter the values of the Fx and Fy components in the corresponding fields and click 'Calculate'. The result will display the magnitude of the resultant force in newtons and the angle in degrees, measured from the positive horizontal axis. The calculator also provides a graphical representation of the resultant vector, making it easier to visualize the direction and sense of the force.

This calculator is useful in physics and engineering problems where forces acting in different directions need to be combined, such as in structural analysis, particle dynamics, or body equilibrium. For example, when calculating the resultant force on an object pulled by two ropes at different angles, or determining the net force at a support point.

Important precautions: ensure that the Fx and Fy components are in the same unit (newtons). The resulting angle is calculated in the correct quadrant based on the signs of Fx and Fy. If Fx is zero, the angle will be 90° or -90° depending on the sign of Fy. The calculator assumes that the forces are coplanar and that the system is in static or dynamic equilibrium as appropriate.

Frequently asked questions

What is resultant force?

Resultant force is the vector sum of all forces acting on a body. It represents the net effect of the forces, determining the body's acceleration according to Newton's second law.

How do I calculate the angle of the resultant force?

The angle θ is calculated by θ = arctan(Fy/Fx). The calculator automatically adjusts the quadrant based on the signs of Fx and Fy to provide the correct angle between -180° and 180°.

Can I use this calculator for forces in 3D?

No, this calculator is specific to two-dimensional systems (xy plane). For 3D forces, you would need a tool that considers all three components (Fx, Fy, Fz).

What if Fx is zero?

If Fx is zero, the resultant force is vertical. The magnitude will be |Fy| and the angle will be 90° if Fy > 0, or -90° if Fy < 0.

Does the calculator consider units other than newton?

The calculator does not convert units. Make sure Fx and Fy are in the same force unit (e.g., newtons) so that the result is consistent.

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