If you dive under-water, you notice an uncomfortable pressure on your eardrums due to the increased pressure. The human eardrum has an area of about 70 mm2 (7*10-5m2), and it can sustain a force of about 7 N without rupturing. Part A If your body had no means of balancing the extra pressure (which, in reality, it does), what would be the maximum depth you could dive without rupturing your eardrum?

Question

Kyler Dorsey

Physics

3 October, 00:16

If you dive under-water, you notice an uncomfortable pressure on your eardrums due to the increased pressure. The human eardrum has an area of about 70 mm2 (7*10-5m2), and it can sustain a force of about 7 N without rupturing. Part A If your body had no means of balancing the extra pressure (which, in reality, it does), what would be the maximum depth you could dive without rupturing your eardrum?

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Alvin · Answer 1

10.2 m

Explanation:

A = 70 mm^2 = 70 x 10^-6 m^2

F = 7 N

Pressure sustained by ear drum

P = F / A = 7 / (70 x 10^-6) = 10^5 N/m^2

Let the depth of water is h

Pressure due to the depth of water should be same as the pressure sustained by the ear drum

P = h x d x g

where, d be the density of water.

10^5 = h x 1000 x 9.8

h = 10.2 m