Free work done calculator
A physics work calculator finds mechanical work, force, distance, or force angle using W = Fd cos θ. Enter three known values to get unit conversions and a clear formula substitution.
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Find work from force, distance, and angle.
Step-by-step result
Answer
100 J
Rearranged formula
W = F × d × cos(θ)
Substitution in base SI units
W = 50 N × 4 m × cos(60°) = 100 J
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Multiply force by displacement and by the cosine of the angle between them: W = Fd cos θ. Work is measured in joules when force is in newtons and distance is in meters.
Work is zero when there is no displacement, no force, or the force is perpendicular to motion at 90 degrees.
Yes. Work is negative when the force has a component opposite the displacement, which occurs for angles greater than 90 degrees.
One joule is the work done when a force of one newton moves an object one meter in the force direction.
Cosine selects the part of the force that points along the displacement. A perpendicular force does no mechanical work on that motion.
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