Solve Simple Wave Problem: Find v_2

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SUMMARY

The discussion focuses on calculating the speed of a transverse wave in a rope transitioning from one medium to another with different densities. The wave speed in the new medium, denoted as v_2, can be determined using the equation c = √(T/μ), where T represents the tension in the rope and μ is the density of the medium. The user expresses uncertainty about the initial steps to take in solving this problem, highlighting the importance of understanding wave mechanics in different media.

PREREQUISITES
  • Understanding of wave mechanics and properties of waves
  • Familiarity with the equation for wave speed c = √(T/μ)
  • Knowledge of tension in strings and its effect on wave propagation
  • Concept of density in different media
NEXT STEPS
  • Research the effects of tension on wave speed in different materials
  • Explore the relationship between wave speed and density in various mediums
  • Learn about the principles of transverse waves in physics
  • Study examples of wave propagation in ropes and strings with varying densities
USEFUL FOR

Physics students, educators, and anyone interested in understanding wave mechanics and the behavior of waves in different media.

mathlete
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There is a tranverse wave induced in a rope with density [tex]\mu_1[/tex] with velocity [tex]v_1[/tex]. It reaches a rope of different density [tex]\mu_2[/tex]. What is the speed of the wave in the new medium, [tex]v_2[/tex]. This is pretty simple but I just don't know what equation to start with.
 
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[tex]c = \sqrt{T/\mu}[/tex] c is wave speed and T is tension on the string
 
Thank you very much, I feel pretty stupid now :)
 

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