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25 May, 12:43

A 2 -liter [l] soda bottle, made of pet, will fail at approximately 207 pound-force per square inch [psi] of pressure. if you were to dive straight down into the ocean with a 2 -liter bottle, at what depth in units of feet [ft] would the bottle fail? assume the specific gravity of ocean water is 1.0251

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  1. 25 May, 13:57
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    I like to solve first in SI units. So convert pressure into Pascal.

    P = 207 psi = 1.427x10^6 Pa

    The formula for hydrostatic pressure is:

    P = ρ g h

    where ρ is density of ocean water = 1025.1 kg/m^3, g is gravity = 9.81 m/s^2, h is height or depth

    1.427x10^6 = 1025.1 * 9.81 * h

    h = 141.92 m

    Convert meters to inches:

    h = 141.92 m = 5587.4 inches
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