Laboratory 6
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The University of Tennessee, Knoxville *
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221
Subject
Geology
Date
Jun 9, 2024
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docx
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Laboratory 7: Buoyance
Manuelle Toro
mtoromar@vols.utk.edu
Purpose: For this lab we hope to test Archimedes' rule and learn about how fluid pressure works and buoyancy works. We will weigh different objects under water and find out the weight of the liquid that it displaces out of the way. This will help us figure out how dense the objects are and see if Archimedes' rule is proven to be true or false experimentally. As this rule states when an object is in a liquid, it gets a push upwards that's equal to the weight of the liquid that got pushed
out of the way, in other words describing buoyancy.
Experiment 1:
W
c
W
o
W
ow
W
cw
W
w
F
b
(F
b
-
W
w
)/F
b
Object 1
0.42N
2.64N
2.32N
0.72N
0.30N
0.32N
6.25%
Object 2
0.42N
3.42N
3.07N
0.71N
0.29N
0.35N
17.14%
Object 3
0.42N
2.40N
2.09N
0.69N
0.27N
0.31N
12.9%
Object 4
0.42N
0.88N
0.57N
0.71N
0.29N
0.31N
6.45%
m
o
m
w
V
w
ρ
o
material
Object 1
0.270
0.0306
3.06x10^-
5
8823.53
Brass
Object 2
0.349
0.0296
2.96x10^-5
11790.54
Lead
Object 3
0.245
0.0276
2.76x10^-5
8876.81
Brass
Object 4
0.0898
0.0296
2.96x10^-
5
3033.78
Aluminium
According to Archimedes' principle, the buoyant force is equal to the weight of the displaced fluid. Do your experimental results verify Archimedes' principle? Comment on your results.
o
Overall we do see this phenomenon be at play as we see that out forces are almost equal and deviate only by a small percentage with the greatest difference that being of object with a percentage difference of 17.14%
Do your experimentally determined densities of the various materials agree with the densities given in the table?
Comment on your results
o
Yes, we do see that the experimental densities taking in mind the volume and the mass of the object do relate with the literature values of the density of the objects given
.
Exploration:
As the pressure sensor is moved deeper into the liquid, how does the pressure change?
o
We see that the pleasure sensor displays, much higher-pressure levels when increasing its depth.
As liquid is added or removed from the basin, how does the pressure near the bottom of the tank change?
o
As more liquid is added we see the pressure displayed by the sensor to increase while removing has the opposite effect.
How does the pressure in the water change when the atmosphere is removed?
o
We see that when the atmosphere is removed, the decrease in pressure is significant.
Keeping all other conditions the same, does the pressure at a given distance below the surface depend on the shape of the basin?
o
Yes it does, as we can see keeping everything the same and altering the shape of the basin, either increases or decreases the
pressure depending on the shape set.
How is the density of the fluid related to the pressure it exerts?
o
We would expect to see that the denser the fluid the more pressure it will exert on the pressure meter.
How does increasing gravity change the pressure in the fluid?
o
As we increase gravity then we are increasing weight and as such a force of equal magnitude must be exerted in the opposite direction causing the pressure to significantly increase.
When g = 9.8 m/s
2
, how does pressure (in Pa) change for each meter of water depth?
o
Overall we see than when g=9.8m/s^2, for each meter descended we see an increase in pressure of about 10kPa or 0.1atm
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