Waves, pulses, sound and things of that nature

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SUMMARY

The discussion focuses on solving a physics homework problem related to waves and sound, specifically using equations such as v^2=T/μ and ω=2f. The user calculates the wavelength (λ) as 0.02 cm based on a provided diagram and attempts to determine the wave speed (v) as 0.4 cm/s. The user also explores the relationship between frequency (f) and wavelength, confirming that f equals v/λ. Additionally, they consider the implications of displacement and derivatives in their calculations.

PREREQUISITES
  • Understanding of wave equations, specifically v^2=T/μ
  • Familiarity with wavelength and frequency relationships
  • Basic knowledge of calculus, particularly derivatives
  • Experience with physics problems involving sound and waves
NEXT STEPS
  • Study the derivation and applications of wave equations in physics
  • Learn about the relationship between frequency, wavelength, and wave speed
  • Explore calculus concepts related to derivatives in physical contexts
  • Investigate practical examples of sound waves and their properties
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators looking for examples of wave-related problem-solving techniques.

PhillipRussel
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Homework Statement



http://insight.ccsf.edu/file.php/4599/PDF/Exam1-Fall-2011.pdf

Homework Equations


v^2=T/μ
κλ=2∏
ω=2f and many more

The Attempt at a Solution


Starting with 1a the λ is 4/3*.015cm=.02cm since by the diagram the distance between the labeled point is 3/4 the wavelength

Now I'm not so sure about v. I don't think the diagram is used but in the given info in the statement. v=.3cm/.00075s right

And then the f is equal to v/λ right

I'll get to more later. I need to finish some astronomy homework real quick lol
 
Physics news on Phys.org
for f may need to use displacement=2*pi*f*t or more exactly 0.3cm=2*pi*f*.00075s actually. what do you think
 
for 1b I am thinking dU/dx equals zero at (Xa,t1) and (Xb,t2). I'm still thinking about the other two. i know dy/dt=-v*dy/dx but am not certain of the values of dy/dt or dy/dx. I have a suspicion that dy/dx may be .5 at those other points.
 

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