How Does Weight Affect the Stretch Length of Rubber Bands?

  • Context: High School 
  • Thread starter Thread starter jungboho
  • Start date Start date
  • Tags Tags
    Band
Click For Summary

Discussion Overview

The discussion revolves around the relationship between weight and the stretch length of rubber bands, exploring both experimental observations and theoretical implications. Participants are examining how different weights affect the extension of rubber bands, with a focus on specific data points and the underlying physics principles.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions the relationship between weight and stretch length, noting an anomaly where an 8cm rubber band stretches by 5cm at 600g, while typically every 10g adds only 0.2cm.
  • Another participant suggests that the relationship can be experimentally determined and mentions potential energy in similar materials, implying rubber bands may not follow Hooke's law.
  • A participant provides a mathematical framework using F=kx, suggesting that mass varies directly with displacement, but acknowledges that rubber bands may not behave linearly.
  • Concerns are raised about data accuracy, with suggestions that an outlier may indicate an error in measurement.
  • Discussion includes the idea that rubber bands may require increasing force to stretch further, challenging the notion of a constant extension per weight increment.
  • Some participants propose that the total length versus total force plot would better illustrate the non-linear behavior of rubber bands.
  • There is mention of manufacturing inconsistencies affecting the elasticity of rubber bands, which could lead to variable responses to applied weights.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of Hooke's law to rubber bands, with some asserting that rubber bands do not behave as ideal springs. There is no consensus on the interpretation of the data or the underlying physics principles, indicating ongoing debate and exploration.

Contextual Notes

Participants note potential limitations in data collection and measurement accuracy, as well as the need for clearer definitions of terms and conditions under which the experiments were conducted.

Who May Find This Useful

This discussion may be of interest to students and educators in physics, particularly those exploring concepts of elasticity, experimental design, and data analysis in the context of material properties.

do you know?

  • i've no idea goddmamn it

    Votes: 0 0.0%
  • their must be some experimental error sire rubber bands do not jump

    Votes: 1 50.0%
  • er...

    Votes: 1 50.0%
  • erm...

    Votes: 0 0.0%

  • Total voters
    2
  • Poll closed .
jungboho
Messages
9
Reaction score
0
rubber BANDS

hi guys
i was just wondering what the relationship between the weight and stretch length of rubber is. And also why does an 8cm rubber band increase it's stretch length by 5cm at 600gms weight while the trend before and after is every 10gm added to the weight adds 0.2 to to the lenght.
 
Physics news on Phys.org
could you post your data? I am not sure I understand what you are seeing.
 
ok
it may take me a while to obtain it
 
I'm not sure what you're getting at, but I noticed once that if you take one of those strings you sometimes attach to light bulbs and stretch it 3 or 4 inches, it will hit the ceiling when you release it. There must be a great deal of potential energy associated with the string. I haven't played with rubber bands recently, but my guess is they act similarly. They obviously don't obey hooke's law.
I think that's what you're getting at anyway.
You should be able to determine the relationship to some degree yourself through experiment.
 
God I need help

please help me with rubber bands the graph is amount of extension v weight

I have been having trouble with this for ages
 

Attachments

  • untitled.jpg
    untitled.jpg
    13.3 KB · Views: 599
i'm back with my data
 

Attachments

  • untitled.jpg
    untitled.jpg
    13.3 KB · Views: 543
One data point off in the middle of nowhere is usually a sign of error.
 
Can you provide more context?
 
Elasticity can be assumed to first approximation to obey F=kx, the "spring" equation. Replacing the force F with mg, we have mg=kx, where m is the hanging mass, g the local acceleration of gravity, k is the spring constant, and x is the displacement downward. Since g and k are considered constant, m varies directly as x.
 
  • #10
What do you need to do with it?

Looks like you have an error (perhaps droped decmial point) should that "outlayer" be .6 rather then 6?

Looks like you have the data in Excel, you can do a linear regression to get the best fit line. I would use the data from about 200 up, as below that there is very little change.

As I Recall you will need to learn to create an ARRAY FORMULA to use the Linest function.
select 2 adject cells and enter
=LINEST(A6:A19,B6:B19)
replace the specified ranges with your data location.

prese ctrl-shift-enter.

This will give you the slope and intercept of the data.
 
  • #11
After the linear elastic region, there is a critical point in strain whereafter nonlinearity leads to failure of the specimen.
 
  • #12
yea, are you sure you did not mean to have that value .6??
 
  • #13
yep incredibly sure

I have repeated the experiment a few times the jump always happens though in varying amounts.
 
  • #14
email me at jungboho@hotmail .com for the full method and excel document
 
  • #15
  • #16
Originally posted by Loren Booda
After the linear elastic region, there is a critical point in strain whereafter nonlinearity leads to failure of the specimen.
That's true, but the critical point is at a the point of a shape change of the curve, not a transiant jump in one value. The curve remains continuous.
 
  • #17
strange isn't it
This was physics coursework but ow it's transcended into something more
 
  • #18
It seems that you are plotting the CHANGE in length. Since the basic relationship is f=-kx it would be more meaningful to plot the total length, that would change your spike to a step, much easier to understand. Also it would give physical meaning to the slope of your data.
 
  • #19
jungboho
strange isn't it
This was physics coursework but ow it's transcended into something more
Ow indeed! Welcome to the universe of Physics.
 
  • #20
Hmmm. I was under the impression that a uniform rubber band requires increasing force to stretch it further than its previous point. So, to suggest that a certain amount of force always increases length by a constant amount after a given stretch point makes no sense to me in my experience with rubber bands.
Indeed, does not a rubber band increase its resistance to extension the more it is pulled?
Anomalies to this might be encountered if the rubber band was not dimensionally uniform(what rubber band truly is), or if the rubber band in processing has variant elasticsity due to poor manufacturing(common; look closely at a band and one sometimes finds regions of more dense rubber), or random chemical contaminants which change local elastic properties.
 
  • #21
Pallidin,
To the best of my knowledge you are correct, rubber bands are not very good Hooks law springs. I feel that the plot of total length vs total force would show this very clearly.
 
  • #22
Threads merged.

We only need one thread on this topic. I have combined and added information to the thread title.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 17 ·
Replies
17
Views
7K
Replies
4
Views
7K
Replies
1
Views
4K
Replies
1
Views
2K
Replies
2
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
4
Views
12K