Lab_Repport_1
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Mechanical Engineering
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Feb 20, 2024
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Lab: Measurements and Uncertainty Experiment 1
Part A: Cylinders
Uncertainty of Mass Scale
࠵?
ൌ
࠵?
࠵?
௫
ൌ
࠵?
࠵?࠵? ൌ
࠵?
Use this mass uncertainty
࠵?࠵?
calculated above for the rest of the lab on all mass
measurements to follow.
Table 1
‐
1: Measurements and results for cylindrical objects.
Object
mass
m
(g)
diameter
d
(cm)
length
L
(cm)
volume
V
(cm
3
)
density
࠵?
(g/cm
3
)
Copper
Cylinder
55.6 ± 0.05
1.26 ± 0.01
5.00 ± 0.01
6.23 ± 0.11
8.92 ± 0.17
Aluminum
Cylinder
Brass
Cylinder
Steel
Cylinder
Wood
Cylinder
Thin Wire
Cylinder
Thick Wire
Cylinder
17
I
17.2
0.05
56.55
10.05
12701.001
5.00
10.01
6
3310.004
8
9310.004
17.15
10.05
12771.001
4.991
0.01
6.39
0.004
2
6810.006
53.6
10.05
1269
1.001
4.98
10.01
6.301
0.004
8
5110.005
48
810.05
12781.001
4
9810.01
6.39
10.004
7
6410.005
5
9
10.05
15701.001
5
0410.01
9.7610
0030.6010
012
0.2
10.05
00631.001
6
4910.01
0.020
10.033
10.0010
283
5
10.05
0.2051
001
17.610.1
0.581
10.015
8
7810.025
Lab: Measurements and Uncertainty Calculations: On an attached sheet of paper, show the following calculations. This may be
typed or hand written. SHOW WORK. Include
uncertainties
and
units
in your calculations.
Remember to keep two extra non
‐
significant digits in the middle of your calculations and only
round severely in the last step.
Make sure your final answer is rounded properly. Please draw a box around your final answer.
Record your results (properly rounded) in Table 1.
Show sample calculations for
࠵?
,
࠵?࠵?
,
࠵?
,
࠵?࠵?
for the Copper Cylinder using your data.
Show sample calculations for
࠵?
,
࠵?࠵?
,
࠵?
,
࠵?࠵?
for the Steel Cylinder using your data.
Note
:
A significant proportion of the points for this lab report come from the above
calculations with uncertainty
, so make sure that you know how to do these calculations with
uncertainty correctly. There are examples of propagating uncertainty through a multistep
calculation in the lab manual in Appendix C.
Table 1
‐
2: Comparisons between the cylindrical objects.
Object Pairs
volume comparisons
density comparisons
% difference
ratio
within
uncertainty
(yes/no)
% difference
ratio
within
uncertainty
(yes/no)
copper cylinder &
steal cylinder
copper cylinder &
thick copper wire
wooden cylinder &
copper wire
(You may skip parts B and C)
0.943
99
no
15.6
1.17
No
166.4
10.9
no
1.69
1.02
no
2001
488
no
177.4
06
no
Copper
Cylinder
V
IT
1.270
5.00
6.33
4
TV
210.001
0.004
1
270
5.00
0
56,3
8.93
0.004
Steel
Cylinder
v
IT
1
278514.98
6.39
4
TV
210.001
0.004
1.278
4.98
0
1
4
7.64
YI
t
0.005
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