Help with Transverse Wave Equation

Click For Summary
SUMMARY

The discussion focuses on solving a physics problem involving two vibrating sources emitting waves in an elastic medium. The first source operates at a frequency of 25 Hz with a wavelength of 6.0 m, while the second source has a frequency of 75 Hz. The speed of the refracted wave from the second source is 96 m/s, and the angle of incidence is 35 degrees. The primary objective is to determine the speed of the waves from the second source in the original medium and to analyze the angle of refraction as it enters a different medium.

PREREQUISITES
  • Understanding of the universal wave equation (V = f * L)
  • Knowledge of wave properties including frequency and wavelength
  • Familiarity with the concepts of reflection and refraction of waves
  • Basic understanding of trigonometry related to angles of incidence and refraction
NEXT STEPS
  • Calculate the speed of waves using the universal wave equation for the second source
  • Explore Snell's Law to determine the relationship between angles of incidence and refraction
  • Investigate the effects of medium changes on wave speed and direction
  • Review examples of wave behavior in different media to reinforce concepts
USEFUL FOR

Students studying physics, particularly those in grade eleven, as well as educators and tutors seeking to clarify wave behavior concepts in elastic media.

vividcolours
Messages
2
Reaction score
0

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.
 
Physics news on Phys.org
Can anybody help with this?
 

Similar threads

Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
6
Views
2K
Replies
20
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
8
Views
3K