Archimedes’ Principle

Aim
The aim of this experiment is to use Archimedes’ principle to determine the density of irregularly
shaped objects which are either
more or less d archimedes’ principle.
Using Archimedes’ principle,write an expression for the buoyant force FB experienced by a
submerged object
in terms of the volume V of the object.
hExpress FB in terms of the weight of the object in air Wo and the apparent weight Wa
w en
submerged.
From the two expressions find V in termsfor Wo and Wa, and hence express the density of
the object in terms of Wo,
Wa, and the density pl of the liquid used for immersion.
Materials and Method:
You hav e been provided with a piece of metal, a block of
wood, beaker, balance beam, scissor lift
platform, and retort stand. Measure Wo forthe irregularly shaped piece of metal. Suspend the
iece
fir metal completely immersed in water and measure Wa. Calculate the density of the object andt
uncertainty in the value. The
density of water is 1.00 x 10° kg m 3.
Attempt to identifythe metal and compare your value with tabulated data.
In the air:
Wo = 63.5g :I:O.1 g
In the Water: Wo = 405g :1: 0.1 g
PART B: lrregularly shaped block of wood.
Introduction:
Because wood floats in
water, it will be necessary to hang a sinker beneath the wood in order to
submerge the wood. However it will then also be necessary to
account for the buoyant force
experienced by the sinker itself.
Write an expression for the apparent total weight Wt1 when a sinker
is attached to the
bottom of the wood and the sinker alone is completely submerged. Use Wo for the weight
of the block alone in air, Ws
for the weight of the sinker in air, and FU forthe buoyant force
on the sinker.
Write another expression for the apparent total
weight Wt2 when both the wood block and
singer are submerged. Treat separately the buoyant forces acting on both the sinker (FU)
an t e
block of wood (FB).
Subtract the two expressions. to obtain FB in terms of Wt1 and Wt2.
Use the expression for the buoyancy force
in part Ato eliminate FB and hence to expressV
in terms of Wt1 , Wt2 and the density pl of the liquid used for immersion.
Write V in
terms of Wo and the density of the wood pw, and hence obtain an expression for
pw in terms of Wo, Wt1 , Wt2 and pl.
Materials and
Method
Measure Wo for the irregularly shaped block of wood.
Attach a sinker and measure Wt1 when just the sinker is immersed in
water.
Suspend the whole system completely immersed and measure Wt2.
Calculate the density of wood and compare your value with tabulated
data. Calculate the
uncertainty and comment on its magnitude particularly with regard to the relevance of the weight c
t e
sinker.
Wood: Wo = 319g :1: 0.1g
Metal
Water: 141 .5g :1: 0.1 g
Air: The same above
Sinker + wood = 388g
Re ort
Th:
Results section will include:
Appropriate calculations with uncertainty
Possible candidatesfor identity of the metal and
wood
The Discussion will include:
Holw the uncertainty in the densities relates to the possible candidates for identity of the
meta
and wood
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