Work Done Calculation by Force Displacement Graph

Definition And Formula Of Force Displacement Graph

1. Identify the Force: Determine the magnitude and direction of the constant force acting on the object. This force can be applied in various ways, such as pushing, pulling, or lifting.
2. Determine the Displacement: Find the distance and direction over which the object is displaced by the force. The displacement should be measured in the direction of the force.

Also Check - Work Done by a Variable Force Formula

1. Calculate the Angle \theta: If the force and displacement are not in the same direction, you need to calculate the angle \theta\) between them. This angle is measured in radians and can be found using trigonometry.
2. Plug Values into the Formula: Use the formula W = F *dcos(θ) and substitute the values you have gathered for F\), d\), and θ
3. Calculate the Work: Perform the calculations to find the work done by the constant force. Ensure that you use consistent units for force (N), displacement (m), and angle \theta.
4. Consider Sign and Interpretation: The sign of the work done can provide information about the nature of the work. Positive work is done when the force and displacement are in the same direction (e.g., lifting an object), while negative work is done when they are in opposite directions (e.g., lowering an object against gravity).
5. Units and Final Answer: Make sure your final answer has the appropriate units (joules, J) and includes the sign to indicate whether the work is done on the object (positive) or by the object (negative).

Also Check - Work Done in Raising a Box Formula

Some Examples Of Force Displacement Graph

1. Lifting a Weight:

Also Check - Unit, Dimension & Vector Formula

Work Done Calculation by Force Displacement Graph

1. Plot the force-displacement graph: Make sure you have a clear graph of force (F) on the y-axis and displacement (d) on the x-axis. The graph should represent the relationship between these two variables.
2. Divide the graph into shapes: Depending on the complexity of the graph, you may need to divide it into different shapes, such as rectangles, triangles, or trapezoids. These shapes should approximate the curve of the graph.
3. Calculate the area of each shape: For each shape, calculate its area. The area of a rectangle is given by Area} =Length*Width,
4. 
5. Sum up the areas: Add up the areas of all the shapes to find the total area under the graph. This total area represents the work done by the force in displacing the object.
6. Units: Make sure your units are consistent. If your force is in Newtons (N) and displacement is in meters (m), the work done will be in joules (J).

1. Calculate the area of the triangle: