Solve Simple Wave Problem: Find v_2

Thread starter mathlete
Start date Jan 25, 2005
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Wave

AI Thread Summary

To find the speed of a wave in a new medium with different density, the relevant equation is c = √(T/μ), where c is the wave speed, T is the tension, and μ is the density of the medium. The wave speed in the first rope is given as v_1, and the density is μ_1. When the wave transitions to the second rope with density μ_2, the new wave speed v_2 can be calculated using the same tension T, assuming it remains constant. The relationship indicates that as density increases, wave speed decreases, provided tension is unchanged. Understanding this principle allows for the calculation of v_2 in the new medium.

Jan 25, 2005

mathlete

There is a tranverse wave induced in a rope with density \mu_1 with velocity v_1. It reaches a rope of different density \mu_2. What is the speed of the wave in the new medium, v_2. This is pretty simple but I just don't know what equation to start with.

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Jan 25, 2005

vincentchan

c = \sqrt{T/\mu} c is wave speed and T is tension on the string

Jan 25, 2005

mathlete

Thank you very much, I feel pretty stupid now :)

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