Work Done Calculator

Calculate work done using force and displacement.

Work Done Calculation

Enter the force, displacement, and angle to calculate work done.

Work Done Calculator

Formula Used:

Work done (\( W \)) is calculated using the formula:

\[ W = F \cdot d \cdot \cos(\theta) \]

Where:

  • \( W \): Work done (Joules, J)
  • \( F \): Force applied (Newtons, N)
  • \( d \): Displacement (meters, m)
  • \( \theta \): Angle between force and displacement (degrees)

Example: If force \( F = 50 \) N, displacement \( d = 10 \) m, and angle \( \theta = 30^\circ \), then:

\[ W = 50 \cdot 10 \cdot \cos(30^\circ) \approx 433.01 \, \text{J} \]

Work done measures the energy transferred by a force over a displacement, accounting for the direction of the force relative to the displacement.