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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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  1. 3 October, 00:40
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    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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