Calculate Work done in square form?

Click For Summary
SUMMARY

The discussion centers on calculating work done using square form, paralleling the established method in rectangular form. The area of a square, represented as x², can effectively illustrate work done when the force and displacement are equal in magnitude. The graphical method confirms that work is the area under the Force versus Displacement graph, where a square can be derived from a rectangle by rescaling the axes without altering the work calculation.

PREREQUISITES
  • Understanding of work-energy principles
  • Familiarity with Force versus Displacement graphs
  • Knowledge of area calculations for geometric shapes
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research graphical methods for calculating work done
  • Explore the implications of rescaling axes in physics graphs
  • Study the relationship between force, displacement, and work
  • Learn about different geometric interpretations of work in physics
USEFUL FOR

Students studying physics, educators teaching work-energy concepts, and anyone interested in graphical methods for calculating work done in mechanics.

arslion
Messages
3
Reaction score
0

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"
 

Attachments

  • workdone.png
    workdone.png
    3 KB · Views: 429
Last edited by a moderator:
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
10
Views
2K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K