Physics, 14.01.2020 18:31 living8539

The oxygen levels in a diver's body can become toxic if they dive too deep using a tank of regular air. assume that a certain individual starts experiencing undesirable effects if the gauge pressure exceeds 42.5 lb/in2. (gauge pressure is the pressure in excess of normal atmospheric pressure, which is the pressure your body tissues are used to.) in sea water, which has a density of 1.03 g/cm3, to what depth should the diver be limited? assume that =9.80 m/s2, that 1 pound is 4.448 n, and that 1 inch is 0.0254 m. (you need to know something about how diving tanks work. they have a pressure regulation system that feeds air from the high-pressure tank on the divers back into the divers mouth and respiratory system at the pressure of the water that surrounds her.)

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Answer from: bobyjoetato4599

The diver should be limited to a depth of 29.03 m.

Explanation:

The gauge pressure inside the water is given by:

Gauge Pressure = Density(ρ) x g x Depth (H)

According to given gauge pressure should not exceed 42.5 lb/in²

Gauge Pressure = (42.5 lb/in²)(1 in/0.0254 m)²(4.448 N/1 lb)

Gauge Pressure = 293012.58 N/m²

Now converting density into SI units:

ρ = (1.03 g/cm^3)(1 kg/1000 g)(100 cm/1 m)^3

ρ = 1030 kg/m^3

293012.58 N/m² = ρgH = (1030 kg/m^3)(9.80 m/s²)H

H = 29.03 m

Answer from: Quest

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Answer from: Quest

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