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BIO Ear Damage from Diving. If the force on the tympanic

ISBN: 9780321675460 31

Solution for problem 15E Chapter 12

University Physics | 13th Edition

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Problem 15E

BIO 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 12.1.)

Step-by-Step Solution:

Solution 15E Step 1 : Introduction : In this question, we need to find below what depth can the damage to eardrum can occur during scuba diving Data given Maximum Force F = 1.5 N Diameter d = 8.2 mm Radius r = d/2 = 8.2/2 = 4.1mm = 4.1 × 10 3 m Step 2 : During scuba diving, a person goes deeper into the water, and the pressure of the water is higher in deeper areas We shall find the depth at which it is safe eardrums to stay intact This can be obtained using F = P × A Step 3 : We have pressure given by P = × g × h Here Density of water is = 1.00 × 10 kg/m 3 Gravitational constant g = 9.8 m/s 2

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