How Do You Calculate the Speed of a Wave on a Rope?

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Homework Help Overview

The discussion revolves around calculating the speed of a wave on a vibrating rope, given its linear density and the tension applied. The subject area is wave mechanics, specifically focusing on the relationship between tension, linear density, and wave speed.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to apply the wave speed formula, questioning whether their calculations are correct. There is a focus on verifying the application of the formula and the values used in the calculations.

Discussion Status

Some participants have provided feedback on the calculations, indicating that one attempt appears to be more accurate than another. There is an ongoing exploration of the correct numerical result, but no consensus has been reached.

Contextual Notes

Participants mention a lack of recent experience with physics, which may influence their confidence in solving the problem. There is also a reference to multiple attempts at calculating the wave speed, suggesting some uncertainty in the values used.

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Homework Statement



A vibrating rope has a linear density of 0.075 kg/m. If a tension of 35 N is applied to the rope what will be the speed of a wave traveling along the rope?


Homework Equations



v=\sqrt\frac{F}{m/L}


The Attempt at a Solution



Just wanted to see if I am headed in the right direction.

v=\sqrt{35/0.075}

v= 25 m/s
 
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Hello seker,

Welcome to Physics Forums!

seker said:

Homework Statement



A vibrating rope has a linear density of 0.075 kg/m. If a tension of 35 N is applied to the rope what will be the speed of a wave traveling along the rope?


Homework Equations



v=\sqrt\frac{F}{m/L}


The Attempt at a Solution



Just wanted to see if I am headed in the right direction.

v=\sqrt{35/0.075}
'Looks right to me so far. :approve:
v= 25 m/s
:rolleyes: Try calculating that again.
 
Thanks! Have not done Physics in so long and now have a bunch I need to do.

V= 21.6 ?
 
seker said:
Thanks! Have not done Physics in so long and now have a bunch I need to do.

V= 21.6 ?
That looks better. :approve:
 

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