What is the formula for Work Calculator (W=F·d·cosθ)?

Core formula: W = F·d·cosθ. The tool returns results instantly using this formula and the selected parameters.

Work Calculator (W=F·d·cosθ)

Compute work via W = F·d·cosθ: enter force, displacement and angle to get joules and kWh.

Key points

Work Calculator (W=F·d·cosθ): Compute work via W = F·d·cosθ: enter force, displacement and angle to get joules and kWh. Formula: W = F·d·cosθ. Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. W = F·d·cosθ: work equals force times displacement times the cosine of the angle; it is maximum when aligned and zero when perpendicular. Units: 1 J = 1 N·m; 1 kWh = 3.6×10⁶ J (the household electricity billing unit).

Inputs

W = F·d·cosθ

Calculation model (updates with parameters)

Work W	500 J	W = F·d·cosθ
kilowatt-hour	0.000139kWh	1 kWh = 3.6×10⁶ J
Effective displacement d·cosθ	5 m	Projection of displacement along the force direction

Engineering notes

W = F·d·cosθ: work equals force times displacement times the cosine of the angle; it is maximum when aligned and zero when perpendicular.
Units: 1 J = 1 N·m; 1 kWh = 3.6×10⁶ J (the household electricity billing unit).
Negative work means the force opposes motion (e.g. friction does negative work), converting mechanical energy into internal energy.

FAQ

What is Work Calculator (W=F·d·cosθ) for?: Compute work via W = F·d·cosθ: enter force, displacement and angle to get joules and kWh.
What is the formula for Work Calculator (W=F·d·cosθ)?: Core formula: W = F·d·cosθ. The tool returns results instantly using this formula and the selected parameters.
What engineering notes should I keep in mind when using Work Calculator (W=F·d·cosθ)?: W = F·d·cosθ: work equals force times displacement times the cosine of the angle; it is maximum when aligned and zero when perpendicular. Units: 1 J = 1 N·m; 1 kWh = 3.6×10⁶ J (the household electricity billing unit). Negative work means the force opposes motion (e.g. friction does negative work), converting mechanical energy into internal energy.