ABB SPASI23 I/O module
Technical data of product parameters
In this article, we have looked at Archimedes’ principle from a different, but
quite general, perspective in the context of Newton’s third law of motion. When
an object enters a fluid in a container, the height of the fluid increases, resulting
in a higher hydrostatic pressure and hence a higher downward force on the bottom of t he container. Then according to Newton’s third law, the container-fluid SPASI23
system exerts an equal upward force on the object resulting in the reduction of
its apparent weight, regardless of the position of the object in the fluid. We have
also shown where the reduction of the apparent weight of a submerged object
comes from, when the object rests on the bottom of the container with no fluid SPASI23
seepage between them. The analysis presented here helps clarify why Archimedes’ principle works the way it does, and why a submerged object appears to
be lighter even when the net fluid force on it is downward.which is exactly the apparent weight of the object.
Note that the above analysis remains valid regardless of the position of the
object in the fluid. Thus the object can be completely surrounded by the fluid,
rest on the bottom of the container with no fluid under it, touch the walls of the
container, or even float in the fluid with only a fraction of it submerged. In the
case of a floating object, however, the volume V in the above equations should
be taken to be the sub-volume of the object that is submerged.
A question that normally comes up during discussions of Archimedes’ principle is that when an object in the form of a rectangular block rests on the bottom of a container with no fluid under it, where does the upward buoyant force SPASI23
come from? In fact, in this case because of the fluid pressure on top of the block,
the net hydrostatic force on it would be downward, resulting in the apparent
weight of the block to be greater than its true weight. But this conclusion is in
complete contradiction with all observations since even in this case the apparent
weight of the block is less than its true weight by the weight of the fluid displaced.
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