Eardrums "Pop" Outward on a Train - Bernoulli's Equation

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SUMMARY

The discussion centers on the phenomenon of eardrum "popping" while traveling on a train with an open window, analyzed through Bernoulli's equation. As the train moves at high speeds, the airflow creates a pressure differential, leading to the eardrums popping outward due to lower pressure outside the train. Participants noted that the turbulence caused by the train's movement does not significantly alter the atmospheric pressure beyond the immediate vicinity. The consensus is that the eardrum's response is influenced by the pressure changes described by Bernoulli's principle.

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  • Understanding of Bernoulli's equation
  • Basic knowledge of fluid dynamics
  • Familiarity with pressure differentials
  • Concept of turbulence in airflow
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  • Study the implications of Bernoulli's equation in real-world scenarios
  • Research the effects of turbulence on pressure and airflow
  • Explore the anatomy of the ear and its response to pressure changes
  • Investigate other factors affecting eardrum pressure, such as wind direction and ear shape
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Students of physics, particularly those studying fluid dynamics, as well as individuals interested in the physiological effects of pressure changes on the human body.

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Homework Statement



You are traveling on a train with your window open. As the train approaches its rather high operating speed, your ears "pop." Your eardrums respond to a decrease or increase in the air pressure by "popping" outward or inward, respectively. Do your eardrums "pop" outward or inward on the train? (Use Bernoulli's equation to back up your answer)

Homework Equations



P1 + .5(rho)(v1)^2 + (rho)gy1 = P2 + .5(rho)(v2)^2 + (rho)gy2



The Attempt at a Solution

 
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skier07 said:

Homework Statement



You are traveling on a train with your window open. As the train approaches its rather high operating speed, your ears "pop." Your eardrums respond to a decrease or increase in the air pressure by "popping" outward or inward, respectively. Do your eardrums "pop" outward or inward on the train? (Use Bernoulli's equation to back up your answer)

Homework Equations



P1 + .5(rho)(v1)^2 + (rho)gy1 = P2 + .5(rho)(v2)^2 + (rho)gy2



The Attempt at a Solution

Unfortunately, this is a poorly conceived question. The movement of the train through the stationary air causes turbulence around the train. It does not change the atmospheric pressure of the air outside the window (beyond the region of turbulence). Bernoulli's equation really has nothing to do with this question.

AM
 
An increase in velocity would correlate to a decrease in pressure. It's the same concept (for the purposes of this question) as blowing air over a paper strip to see that the air above the strip has decreased in pressure, which results in the paper strip being forced upwards.
 
So your ears would pop out then? Because the pressure outside the window is lower? If your eardrum is like the piece of paper that is.
 
I never notice such pop before in real life, perhaps the train is just too noisy for me to notice that...
IMO, the pop depends on the orientation, wind direction, and ear shape very much. If the wind is normal to the ear-hole rather then tangential, then there can be inward pop. Of course you can consider both cases anyway. I certainly would prefer the question be more definite.:smile:
 

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