(a) What is the mass of a deep breath of air having a volume of ? (b) Discuss the effect taking such a breath has on your body’s volume and density.
(a) The Mass of the deep air is obtained as: .
(b) The total density lowers by taking deep breaths and on the other hand the volume increases.
Fluid statics, often known as hydrostatics, is a branch of fluid mechanics that investigates the state of balance of a floating and submerged body, as well as the pressure in a fluid, or imposed by a fluid, on an immersed body.
The density of a material is defined as the ratio of its mass to its volume.
The density of deep air is usually calculated to be
The volume of the deep air is
As we known that the density is the rate of mass per volume let’s put the given data in the formula given below.
Therefore, the mass of the deep air is:
When you take in more air, your body's volume expands, but your total density decreases. What is the reason behind this?
Because air has a lower density than your body. The average composition of the body's density, such as bone, tissue, and skin, all have various densities. However, the average density of the body is always higher than that of the air.
Therefore, taking a deep breath lowers the total density and increases the volume.
Pressure cookers have been around for more than years, although their use has strongly declined in recent years (early models had a nasty habit of exploding). How much force must the latches holding the lid onto a pressure cooker be able to withstand if the circular lid is in diameter and the gauge pressure inside is ? Neglect the weight of the lid.
Referring to Figure , prove that the buoyant force on the cylinder is equal to the weight of the fluid displaced (Archimedes’ principle). You may assume that the buoyant force is and that the ends of the cylinder have equal areas A. Note that the volume of the cylinder (and that of the fluid it displaces) equals .
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