Pressure and Density: Force Increase on Eardrum in 10-Story Building

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SUMMARY

The discussion focuses on calculating the force increase on the eardrum due to pressure changes experienced during a quick elevator ride in a ten-story building. Given that each story is 14 feet high and the density of air is 1.29 kg/m³, the area of the eardrum is specified as 1.3 cm². The calculations involve determining the pressure difference caused by the height change and converting the resulting force into pounds. The key takeaway is that the pressure changes in such scenarios can be quantified and have a measurable impact on the eardrum.

PREREQUISITES
  • Understanding of basic physics concepts, particularly pressure and force.
  • Familiarity with unit conversions, specifically between metric and imperial units.
  • Knowledge of the ideal gas law and its application in pressure calculations.
  • Basic mathematical skills for solving equations involving area and force.
NEXT STEPS
  • Research the relationship between pressure and force in fluid dynamics.
  • Learn about the effects of altitude on air pressure and density.
  • Explore the physiological effects of pressure changes on the human body, particularly the ears.
  • Study the principles of pressure measurement and the use of barometers.
USEFUL FOR

Students in physics or engineering, audiologists, and anyone interested in the effects of pressure changes on human physiology will benefit from this discussion.

w11205
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Homework Statement



Your ear is a very sensitive pressure gauge. When you take a quick ride in a elevator
going up or down in a building you notice a sensation in your ears when you travel only a
few floors. A stronger effect is present in the rapid ascent or descent of an airplane - your
ears notice. Assume that the area of your eardrum is 1.3 cm2. If you can just notice that
funny feeling in your ears when you take a quick elevator ride from the top to the bottom
of a ten-story building, what force increase are you able to notice on the eardrum?
Convert you answer to pounds. Take each story of the building to be 14 feet high and
presume the density of air is constant at D = 1.29 kg/m3.


Homework Equations





The Attempt at a Solution

 
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Hi w11205,

w11205 said:

Homework Statement



Your ear is a very sensitive pressure gauge. When you take a quick ride in a elevator
going up or down in a building you notice a sensation in your ears when you travel only a
few floors. A stronger effect is present in the rapid ascent or descent of an airplane - your
ears notice. Assume that the area of your eardrum is 1.3 cm2. If you can just notice that
funny feeling in your ears when you take a quick elevator ride from the top to the bottom
of a ten-story building, what force increase are you able to notice on the eardrum?
Convert you answer to pounds. Take each story of the building to be 14 feet high and
presume the density of air is constant at D = 1.29 kg/m3.


Homework Equations





The Attempt at a Solution



What have you tried so far?
 

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