Calculadora de Trabalho

W = F·d·cos(θ) — trabalho realizado por uma força.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Trabalho W
400,00 J

Formula

W = F·d·cos(θ)

About this calculator

This work calculator determines the work done by a constant force along a straight-line displacement. Work is a scalar quantity that measures the energy transferred to an object when a force moves it. The formula used is W = F·d·cos(θ), where F is the magnitude of the applied force, d is the distance traveled, and θ is the angle between the force and displacement. The result is expressed in joules (J), the SI unit.

To use the calculator, enter the force (in newtons), displacement (in meters), and angle (in degrees). The calculation is automatic and provides the work done. If the force is parallel to the displacement, the angle is zero and work is maximum. If the force is perpendicular, work is zero. If the angle is greater than 90°, work is negative, meaning the force opposes motion.

This tool is useful in scenarios like lifting an object vertically, pushing a box on a horizontal surface, or calculating the work of friction. It also applies to high school and college physics problems, engineering, and technical fields. Remember that the formula assumes constant force and straight-line motion; for variable forces or curved paths, other methods are needed.

Cautions: ensure units are consistent (newtons, meters, degrees). The angle must be measured between force and displacement, not with the horizontal. For multiple forces, calculate each work separately. Total work is the algebraic sum of individual works. This calculator does not consider relativistic or quantum effects.

Frequently asked questions

What does negative work mean?

Negative work occurs when the force opposes the displacement, such as friction or drag. It indicates that the force is removing energy from the object.

What is the difference between work and energy?

Work is the transfer of energy from one system to another. Energy is the capacity to do work. Both are measured in joules.

Can I use this calculator for variable forces?

No. This calculator is only for constant forces. For variable forces, you need to use integration or specific calculators.

Should the angle be in degrees or radians?

The calculator expects the angle in degrees. Internally, it converts to radians for the cosine calculation.

What if the displacement is zero?

If the displacement is zero, the work is zero regardless of the applied force. There is no movement, so no energy transfer.

Other Energia, Trabalho e Potencia calculators