Thought for Today
Work Calculator
Work :
- Work defined as :
- The formula for work is given by:
- W = Fdcosθ
- where F is the force applied, d is the distance over which the force is applied, and θ is the angle between the force vector and the direction of displacement.
- If the force and displacement are in the same direction (θ = 0°), the formula simplifies to:
- W = F*d
- Conversely, if the force and displacement are perpendicular to each other (θ = 90°), no work is done as there is no component of force in the direction of displacement.
- If the force is constant and in the same direction as displacement, then the formula can be simplified as:
- W = F*d
- If the force is not constant, the work can be calculated by integrating the force with respect to displacement:
- W = ∫ F•ds
- For example
- If a force of 10 N is applied to an object that moves a distance of 5 meters in the same direction as the force, the work done can be calculated as:
- W = Fdcosθ
W = 10 N * 5 m * cos(0°)
W = 50 J
The amount of energy transferred to or from an object due to a force acting on it over a certain distance. It is denoted by the symbol "W" and is measured in joules (J).