How Is Tension Calculated in a String with Waves?

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Homework Help Overview

The discussion revolves around calculating the tension in a string that supports a transverse wave, with a given linear density and wave equation. The subject area includes wave mechanics and properties of strings.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster has calculated the wave speed using the relationship between angular frequency and wave number but is uncertain about how to proceed with calculating the tension in the string.

Discussion Status

Participants are actively discussing the calculation of wave speed and expressing confusion regarding the subsequent step of determining tension. Some have reiterated the wave speed calculation while seeking further guidance on tension.

Contextual Notes

The original poster has provided specific values for linear density and parameters from the wave equation but has not included additional context or constraints that may affect the calculation of tension.

kukulalalu89
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The linear density of a string is 5.520×10-3 kg/m. A transverse wave on the string is described by the equation

y=(0.033 m)sin(2.50 m-1x +125.7 s-1 * t).

1.) What is the wave speed?




2.) What is the tension in the string?


I've already calculated the wave speed but I don't know how to do the tension in string!

HELP PLS!
 
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Show work.
 
wave speed (v) = w/k

y= Asin(kx-wt)

w = 125.7
k=2.5

v = 125.7/2.5 = 50.38 m/s (wave speed)But i do not know how to calculate the tension! HELP PLEASEE!
 

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