Waves: finding the tension of a cord

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Homework Help Overview

The problem involves calculating the tension in a telephone cord based on its length, mass, and the speed of a transverse pulse traveling along it. The original poster provides specific measurements and an attempt at using the wave speed formula.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the tension using the wave speed formula but questions the accuracy of their result after receiving feedback. A participant raises a question about the interpretation of the distance traveled by the pulse, suggesting a potential misunderstanding in the problem setup.

Discussion Status

The discussion has led to a clarification of the original poster's approach, with a participant questioning the distance the pulse travels. This indicates a productive direction in exploring the problem further, although no consensus on the correct answer has been reached.

Contextual Notes

The original poster mentions receiving feedback on their answer being significantly off from the correct one, indicating potential issues with their calculations or assumptions. There is also a reference to an earlier mistake in their calculations that led to an incorrect interpretation of the results.

nowtrams
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1. A telephone cord is 3.95 m long and has a mass of 0.180 kg. A transverse pulse is produced by plucking one end of the taut cord. The pulse makes four trips down and back along the cord in 0.790 s. What is the tension in the cord?

d=3.95m, m=0.18kg, 4t=0.79s2.
v=(T/u)^0.5 --- v2=T/u --- T=v2*u

v=d/t

u=m/d

3.
4t = 0.79s
t = 0.79s/4 = 0.1975s

v = d/t = 3.95m/0.1975s = 20.0m/s

u = m/d = 0.18kg/3.95m = 0.0455696kg/m

T = v2*u = (20.0m/s)2*0.04557kg/m = 400m2/s2*0.04557kg/m = 18.2278481kg*m/s2
T = 18.2278N

this is from an electronic assignment and when I submitted this answer it said my answer "differs from the correct answer by 10% to 100%."
also, when I first attempted this problem I accidentally divided v2 by u instead of multiplying (which gave me 8777.778) and the response I got for that was that my answer differed from the correct answer by "orders of magnitude," which to me sounds like that answer was off by some multiple of 10.
 
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Hi nowtrams, welcome to PF.
Four trips down and back means 4d or 8d?
 
that's a good question, that hadn't occurred to me. I'll give that a try
 
That was all my problem was, thanks!
 

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