DDK SAN3-40 SAN3-40M tightening machine controller
Technical data of product parameters
placed on a scale, regardless of whether air is driven out from under it or not.
One year later, Graf [4] argued that the reading of a scale located at the bottom of a container is the same when a submerged block is balanced on a thin pin SAN3-40 SAN3-40M
and the pin bottom rests on the scale (where there is buoyant force) and when
the block rests on the scale without any fluid seepage between them (where there
is no buoyant force). He then concluded that when an object denser than a fluid
is submerged in it, the apparent weight of the object is the same regardless of
whether the submerged object rests on the bottom of the container or not.
However, Graf did not explain where the upward force in the latter case comes
from. In what follows, we address this issue and explain where in this case the SAN3-40 SAN3-40M
reduction of the apparent weight comes from.
Consider an object of any shape of mass m and volume V resting at the
bottom of a container filled with a fluid of density Df , as shown in Figure 2(a).
A scale similar to that described by Graf [4] is also placed at the bottom of the
container, and its tare function is used to zero its reading. The region enclosed
by the dashed line contains a volume of the fluid that is equal to the volume of SAN3-40 SAN3-40M
the object.
We now move the object and place it on the scale, as shown in Figure 2(b).
There may or may not be fluid seepage between the object and the scale, which is
immaterial. As a result, the weight of the object mg is added to the scale but, at
the same time, the weight of the fluid in the dashed region is removed from the
top of the scale. Therefore, the reading of the scale S will be
f S mg D gV = − (6)
where the second term on the right hand side is the weight of the fluid in the
dashed region. Consequently, the apparent weight of the object is less than its
true weight by exactly the buoyant force on the object as if it was completely
surrounded by the fluid. This analysis clearly shows where the reduction in the
apparent weight in this case comes from; it comes from removal of a volume of
fluid, equal to the volume of the object, from the region directly above the scale
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