Relationship Between String Tension and Stretch

[BraedenP]

Homework Statement

Will stretch in a string have an effect on the graph of wavelength vs. tension, relative to the same graph using a string without stretch?

Homework Equations

N/A

The Attempt at a Solution

No calculations are required, so I'm assuming that the slope of that graph in the string that stretches will be lower than the slope of the graph based on the string that doesn't stretch. This is all the information I really need to get the rest of the answer to the question.

tl;dr: Does stretch in a string affect its tension in a negative or positive way?

Thanks!
Braeden

 

[rock.freak667]

Well tension in a spring can be modeled as a spring such that T=kx. But what exactly is the 'wavelength' that you are measuring?

 

[BraedenP]

Well tension in a spring can be modeled as a spring such that T=kx. But what exactly is the 'wavelength' that you are measuring?

That would probably be some useful information, wouldn't it? :P

We're attaching the string to a speaker and vibrating it at 60Hz. Then we're hanging a mass on the string over the edge of a table, and moving the speaker until we get a tension that creates even oscillations.

We then calculate the wavelength from measuring the string directly.

 

[rock.freak667]

This page might help you as well, it is on vibrating strings.