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volume of fluid displaced. If a buoyant force of 40 N corresponds to a displaced volume equal to 80% of the block’s volume, a buoyant force of 10 N (1/4 of the original force) must correspond to a displaced volume equal to 20% of the block’s volume (1/4 of the original displaced volume).
When a liquid is placed in a container with no lid, it remains in the container. Because the atoms are closely packed, liquids, like solids, resist compression; an extremely large force is necessary to change the volume of a liquid.
The volume of solid, liquid or gas depends on the stress or pressure acting on it. When we talk about fixed volume of solid or liquid, we mean its volume under atmospheric pressure. The difference between gases and solids or liquids is that for solids or liquids the change in volume due to change of exter nal pr essur e is rather small.
Flow rate Q is defined as the volume V flowing past a point in time t, or Q = \(\frac{dV}{dt}\) where V is volume and t is time. The SI unit of flow rate is m 3 /s, but other rates can be used, such as L/min.
Let’s use Equation \ref{14.9} to work out a formula for the pressure at a depth h from the surface in a tank of a liquid such as water, where the density of the liquid can be taken to be constant. We need to integrate Equation \ref{14.9} from y = 0, where the pressure is atmospheric pressure (p 0), to y = −h, the y-coordinate of the depth:
The molecules in a liquid are not locked in place and can move with respect to each other. The distance between molecules is similar to the distances in a solid, and so liquids have definite volumes, but the shape of a liquid changes, depending on the shape of its container.
Volume in physics refers to the amount of space occupied by a body or object. It’s a fundamental physical quantity measured in cubic meters (m³) in the International System of Units (SI), but it can also be expressed in other units, such as liters (L) for liquids. In dimensional analysis, volume is described as a derived physical quantity ...
