Help with Transverse Wave Equation

AI Thread Summary
To find the speed of waves from the second source in the original medium, the universal wave equation V = (f)(L) can be applied, where the frequency is 75 Hz. The wavelength of the first source is known to be 6.0 m, and the speed of the refracted wave is given as 96 m/s. To determine the angle of refraction for the second source, Snell's law may be applicable, but additional information about the refractive indices of the two media is needed. The discussion highlights the challenge of solving for two variables with limited data, emphasizing the need for clarity on the relationship between speed, frequency, and wavelength in wave mechanics. Understanding these concepts is crucial for solving the problem effectively.
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Homework Statement



Two vibrating sources emit waves in the same elastic medium. The first source has a frequency of 25 Hz, while the 2nd source's frequency is 75 Hz. Waves from the first source have a wavelength of 6.0 m. They reflect from a barrier back into the original medium, with an angle of reflection of 25 degrees. Waves from the second source refract into a different medium with an angle of incidence of 35 degrees. The speed of the refracted wave is observed to be 96 m/s.

I need to find the speed of waves from the second source in the originial medium and if the angle of refraction of the waves from the second source are greater, less or equal to 35 degrees as they enter the different medium.


Homework Equations


The universal wave equation is V = (f)(L)
V = speed
f = frequency
L = wavelength

also f = 1/T
T = period (time) f anf t are reciprocals of each other

The Attempt at a Solution



Given: f = 75Hz
refracted v = 96m/s
angle of incidence = 35 degrees

Required: speed (v)
wavelength (L)

Analysis: V = (f)(L)
= (75)(?)

I just don't know how to find either the v or the L as this is the only formula I've been given and I can't use it with two variables. I tried making a graph with the angles but didn't have enough information. I don't know if I can somehow use the angles to calculate the refracted wave's original speed or if there's a way to use the refracted wave's speed to calculate the original speed. This is a grade eleven physics problem and I am so frustrated with this and can't see a way to solve it. If someone could even just help me find the wavelength of the second source that would help a lot.
 
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