Solving String Tension: Wavelength, Speed and Frequency

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Homework Help Overview

The discussion revolves around a physics problem involving a string under tension, where participants explore the relationships between tension, mass, wavelength, speed, and frequency. The original poster presents specific values for tension, mass, and wavelength while seeking to determine the speed and frequency of the wave on the string.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of relevant equations for wave speed and frequency, with some expressing confusion about which equation to use in different scenarios. Questions arise regarding the consistency of linear mass density and its implications for calculations.

Discussion Status

The discussion is ongoing, with participants providing attempts at solutions while seeking clarification on the application of formulas. Some guidance has been offered, particularly regarding the interpretation of linear mass density, but no consensus has been reached on the correct approach or final answers.

Contextual Notes

There is a noted confusion about the use of the equations in relation to the changing parameters of the problem, particularly concerning the linear mass density and its effect on the calculations. Participants are also navigating the constraints of the problem as presented in the homework statement.

gillyr2
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Homework Statement


string is under tension 400N. A 1m string has mass 5grams. what is the speed if the wavelength is 1m. What is the speed if the wavelength is .5m. What is the frequency?


Homework Equations


v = sqrt(Tension/(m/L))
v = f * wavelength


The Attempt at a Solution



a) v = sqrt(400N / (.005kg/1m) = 283m/s

b) I am confused. whether to use the first or second equation?
v=sqrt(400N/.005kg/.5m) = 200m/s

c) f = v/wl = 200m/.5ms = 400Hz

is this correct?
 
Last edited:
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just a push in the right direction would be highly appreciated
 
L is the entire length of the string. Why would the linear mass density, something that is inherent and doesn't change with the same string, be changing?
 
so for b) would it be 1m for both, or is the speed impossible to derive from that formula?
 
If [tex]V=\sqrt{\frac{T}{\mu}}[/tex]

What do you hypothesise if mu and T are always constant?
 

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