Graphing a rotational spring's constant

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Discussion Overview

The discussion revolves around the process of graphing the spring constant of a mousetrap spring to determine the elastic potential energy stored within it. Participants explore the appropriate measurements for the x-axis, considering whether to use degrees or radians, and discuss the implications of these choices on the integration process.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests measuring the compression of the spring in either degrees or radians for the x-axis, expressing uncertainty about which is preferable.
  • Another participant states that either measurement is acceptable.
  • A question is raised about whether torque could be graphed on the y-axis and the appropriate length for measuring force from the lever arm.
  • It is proposed that using radians would simplify the integration process, as the integral of a trigonometric function is more straightforward in radians than in degrees.
  • A participant mentions having already graphed the function using degrees and calculated the stored energy as 100J, questioning if an alternative method was expected.
  • Another participant responds to the previous post by emphasizing that the project is self-directed, implying that the participant is free to choose their approach.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the preferred measurement for the x-axis, as opinions vary on whether to use degrees or radians. The discussion remains unresolved regarding the best approach to graphing and integrating the spring's constant.

Contextual Notes

There are limitations regarding the assumptions made about the relationship between angle measurements and the resulting calculations, as well as the dependency on the definitions of torque and force in this context.

Who May Find This Useful

This discussion may be useful for individuals interested in experimental physics, particularly those exploring the mechanics of springs and energy storage in mechanical systems.

Ry122
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Hi
Im trying to find the elastic potential energy stored in a mousetrap spring. I plan on doing this by graphing the spring's constant then integrating the function.
I just wanted to know what i should be measuring with the x-axis.
In normal springs the force is on the y-axis and the compression of the spring (cm) is on the x-axis.
I know it's either going to be degrees or radians (from 0 to 180) I am just not sure which one.
 
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either one you like.
 
would it be ok to graph the torque on the y-axis?
If not at what length should i measure the force from on the lever arm?
 
If you are going to get a function of the angle and then integrate, it would be simpler to use radians rather than angles. (The integral formula for a trig function in terms of degrees is more complicated than if it is in terms of radians.)

As for measuring the force, I would recommend attaching the scale to the cross arm of the mousetrap.
 
I've already graphed it using degrees. I just found the definite integral of the function. The stored energy was 100J
Was I supposed to do it some other way?
 
do it? do what? you have proposed this project for yourself, apparently. so the only person telling you what to do is yourself.
 

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