How Does Sound Refract When Moving from Air to Water?

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SUMMARY

The discussion focuses on the refraction of sound waves transitioning from air to water, specifically analyzing a scenario where a sound wave travels from air (340 m/s) to water (1510 m/s) at an incidence angle of 12°. The relevant equations include Snell's Law of Refraction, expressed as n1(sinθ1) = n2(sinθ2), and the refractive index formula n = c/v. The participants initially struggled with determining the correct speed of sound for the calculations but ultimately resolved their confusion.

PREREQUISITES
  • Understanding of Snell's Law of Refraction
  • Knowledge of sound wave propagation speeds in different media
  • Familiarity with the concept of refractive index
  • Basic algebra for solving trigonometric equations
NEXT STEPS
  • Research the derivation and applications of Snell's Law in acoustics
  • Explore the differences in sound propagation in various media
  • Learn about the practical implications of sound refraction in underwater acoustics
  • Investigate the effects of temperature and pressure on sound speed in air and water
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, acoustics, and anyone interested in the principles of sound propagation in different environments.

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Homework Statement


the laws of refraction and reflection are the same for sound as for light. the speed of sound is 340 m/s in air and 1510 m/s in water. if a sound wave traveling in air approaches a plane water surface at an angle of incidence 12°, what is the angle of refraction?

Homework Equations



n=c/v snells law of refraction: n1(sinθ1)=n2(sinθ2)

The Attempt at a Solution


we attempted to use n=c/v but we weren't sure what the c value should be when the equation is used for sound as opposed to light. a push in the right direction?
 
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nevermind we got it! sorry
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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