College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Textbook Question
Chapter 13, Problem 22P
Ear damage from diving. If the force on the tympanic membrane (eardrum) increases by about 1.5 N above the force from atmospheric pressure, the membrane can be damaged. When you go scuba diving in the ocean, below what depth could damage to your eardrum start to occur? The eardrum is typically 8.2 mm in diameter. (Consult Table 13.1.)
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If the force on the eardrum increases by
1.5 N compared to the force at
atmospheric pressure, the eardrum may
burst. How deep can a diver dive without
damaging the eardrum? The tympanic
membrane of an adult human is a
membrane of circular cross-section with
a diameter of 8.2 mm, and the density of
the sea is 1030 kg/m³.
The tympanic membrane, or eardrum, is a structure that separates the external and middle parts of the ear (see the figure). It is
sensitive to and vibrates in response to changes in air pressure and transmits these vibrations to other structures in the inner ear that
lead to the sensation of hearing: Under normal conditions, the pressure on the inside and outside of the tympanic membrane are kept
approximately equal. The auditory tube, also called the Eustachian tube, is responsible for this equilibration. However, rapid changes in
external pressure can cause large pressure differentials on the tympanic membrane, causing it to rupture. A differential force across
the eardrum membrane as little as 5.0 N can cause a rupture. (a) If the cross-sectional area of the membrane is 1.0 cm², what is the
maximum tolerable pressure difference between the external and inner ear? (b) Based on your answer in part (a), to what maximum
depth could a person dive in fresh water before rupturing an…
If the eardrum experiences a 1.5 N increase from the atmospheric pressure, it can be
damaged. When you go scuba diving in the ocean, at what depth could such damage
start to occur if your eardrum is 8.2-mm in diameter? The answer is expressed in meters
and in two decimal places.
Chapter 13 Solutions
College Physics (10th Edition)
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