Total Work Calculator

How to Use the Total Work Calculator

1. Enter the magnitude of the applied force in Newtons (N).
2. Enter the magnitude of the displacement in meters (m).
3. Enter the angle between the force and displacement vectors in degrees.
4. Click the "Calculate" button to compute the total work done.
5. The result will be displayed in Joules (J).

Working Principle

Total work is the amount of energy transferred to or from an object by a force. It is calculated as the product of the force, the distance over which it acts, and the cosine of the angle between them. This formula accounts for the fact that only the component of the force in the direction of the displacement does work.

Example

Suppose a force of 10 N is applied to move an object 5 m in the same direction as the force. The work done would be:

Work = 10 N × 5 m × cos(0°) = 50 J

If the force is applied at an angle of 30° to the displacement, the work done would be:

Work = 10 N × 5 m × cos(30°) ≈ 43.3 J