Answered

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?

Answer :

Answer:

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

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