In a total-immersion measurement of a woman’s density, she is found to have a mass of 63.5 kg in air and an apparent mass of 0.0875 kg when completely submerged with lungs almost totally empty. a. What mass, in kilograms, of water does she displace? b. What is her volume, in cubic meters? c. Calculate her average density, in kilograms per cubic meter.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
In a total-immersion measurement of a woman’s density, she is found to have a mass of 63.5 kg in air and an apparent mass of 0.0875 kg when completely submerged with lungs almost totally empty.
a. What mass, in kilograms, of water does she displace?
b. What is her volume, in cubic meters?
c. Calculate her average density, in kilograms per cubic meter.
d. If her lung capacity is 1.75 L, is she able to float without treading water with her lungs filled with air? Assume the density of air is 1.29 kg/m3.
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