Calculate Work done in square form?

[arslion]

Homework Statement

can we calculate work done in square form ??as we calculate it in rectangular form.Work done by graphical method is an example..

Homework Equations

In rectangular form
Area = OA x OC = xy = FS
W=A

The Attempt at a Solution

but when we calculate it in square form the area of square is x².
is it possible ??

check attached image for help


Thanks
http://arslion.blogspot.com"

 

[kuruman]

To quote a famous person, "Yes, we can." If on your Force versus Displacement graph the size of the force is the same length (in centimeters) as the Displacement, then you get a square and the work done by the force is represented as the area of the square, Force times Displacement.

Stated differently, if you have a rectangle, you can always rescale one or the other (or both) of the axes to get a square. This will not in any way change the work done by the force.

 

[kerimek]

I can say that yes, it is possible to calculate work done in square form. In fact, it is just another way of representing the same concept as calculating work done in rectangular form. The area of a square is indeed x^2, and this can be used in the calculation of work done by using the formula W = A = xy = x^2. This method may be useful in certain situations where the shape being considered is a square, but the overall concept of work done remains the same regardless of the form in which it is calculated. The graphical method mentioned is just one way of representing work done, and it is not limited to rectangular or square forms. Ultimately, the most important aspect is understanding the concept of work done and being able to apply it in various situations.