How Do Tension and Distance Affect Pulse Travel Time in a Stretched Cord?

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Homework Help Overview

The problem involves a cord stretched between two supports, with a focus on how tension and distance affect the travel time of a pulse along the cord. The subject area includes wave mechanics and the properties of tension in strings.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between wave speed, tension, and mass per unit length. There is an attempt to apply the wave speed formula and to connect it to the time taken for a pulse to travel the length of the cord.

Discussion Status

Some participants have provided guidance on the relevant equations and expressed confidence in the approach being taken. There is an ongoing exploration of how to calculate the wave speed and subsequently the travel time.

Contextual Notes

The original poster expresses uncertainty about how to incorporate tension into their calculations and how to derive the time from the wave speed. The problem is framed within the constraints of a homework assignment.

astro_kat
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Homework Statement


a cord of mass 0.65 Kg is stretched between two supports 28 m apart, The tension of the cord is 150 N, how long will it take a pulse to go from one end to the other?


Homework Equations


ok, so I really know is: speed of wave=frequency*wavelength...


The Attempt at a Solution


I really have no clue, I know the distance, with the speed I can solve for frequency, but I don't know how to find time elapsed... can anyone help me, I have no clue how to use tension in this problem!
 
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the speed of a wave traveling through the string would be

[tex]v=\sqrt{\frac{T}{\mu}}[/tex]

where [itex]\mu[/itex] is the mass per unit length
 
oh, cool, yeah i remember seeing that equation somewhere before... right so:
v= (150/(0.65Kg/28m))^.5

take that number, given the length of the cord I can solve for time
 
That should work,yes
 

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