Mechanics
Work
Work is energy transferred by a force over a displacement.
Variables
WJ
Work
Energy transferred
FN
Force
Applied force
dm
Displacement
Distance moved
θ°
Angle
Angle between F and d
Derivation
W = F⃗ · d⃗ = |F||d|cos θ (dot product).
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Common questions
What is the Work formula?
Work is written W = Fdcosθ. Work is energy transferred by a force over a displacement. It belongs to Mechanics, under Work & Energy.
What are the units in W = Fdcosθ?
In SI units, W is work, measured in kg·m²/s²; F is force, measured in kg·m/s²; d is displacement, measured in m; θ is angle, measured in rad.
How is the Work formula derived?
W = F⃗ · d⃗ = |F||d|cos θ (dot product). The result is W = Fdcosθ.