Calculadora de Trabalho e Potência

This work and power calculator solves two fundamental mechanics problems: calculating the work done by a constant force and the average power developed. Work is calculated by the formula W = F·d·cosθ, where F is the applied force (in newtons), d is the displacement (in meters), and θ is the angle between the force direction and displacement. Average power is obtained by P = W/t, where t is time (in seconds). The tool is useful for physics students, engineers, and professionals who need to quickly verify these values.

To use the calculator, enter the values of force, displacement, angle, and time. The angle must be in degrees. The work result is given in joules and power in watts. If the angle is 0°, cosθ = 1 and work is simply F·d. If the angle is 90°, cosθ = 0 and work is zero, indicating the force is perpendicular to displacement. The calculator also handles angles between 0° and 180°, considering that cosθ can be negative for angles above 90°, resulting in negative work.

Common use cases include lifting weight problems (vertical force, vertical displacement), dragging objects on horizontal surfaces with force applied at an angle, and calculating the power of motors or machines. For example, pushing a cart with a force of 50 N over 10 meters at an angle of 30°, the work is 50·10·cos30° ≈ 433 J. If this takes 5 seconds, the power is 433/5 ≈ 86.6 W.

Important precautions: the formula assumes constant force and straight-line path; for variable forces or curved paths, integration would be needed. Also, the angle must be measured between the force and displacement, not between the force and horizontal. Remember that negative work indicates the force opposes motion (like friction). The calculated power is average; if power varies, the instantaneous value may differ.