lab 8
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New Mexico State University *
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Aerospace Engineering
Date
Dec 6, 2023
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Lab 8: Centripetal Acceleration and Force
Clayton McCall
October 27
th
2023
Objective:
Create an experiment with a tube a string, two weights and a paper clip.
where you will be able to calculate velocity, centripetal acceleration and
centripetal force.
Data Table 1
Item
Mass (kg)
Small Washer
.006
Large Washer 1
.02825
Large Washer 2
.02825
Large Washer 3
.02825
Large Washer 4
.02825
Activity 1 – Part A
In part one I used the tube with the weights and added one washer each trial
which gave me the different values. I put a paper clip 30 cm away from the
small washer at the other end to keep the moving mass from moving all the
way up the string and to keep the radius at a certain variable.
Data Table 2A
Varying the Hanging Mass
Tria
l
Moving
Mass, m
(kg)
Hanging
mass, M
(kg)
Radius, r
(m)
Time, t
(seconds)
1
.006
.02825
.3
.45
2
.006
.0565
.3
.27
3
.006
.08475
.3
.22
1
© 2021 Carolina Biological Supply Company
4
.006
.113
.3
.26
Data Table 2B
Varying the Hanging Mass - Calculations
Tri
al
Experimen
tal
Velocity,
v
E
(m/s)
Theoreti
cal
Velocity
, v
T
(m/s)
Percen
t Error
in
Velocit
y
v
E
2
(m
2
/s
2
)
Centripetal
acceleratio
n, a
c
(m/s
2
)
m/r
(kg/m)
mv
E
2
(kg· m
2
/s
2
)
Centripet
al Force,
F
c
(N)
Weigh
t, Mg
(N)
1
4.189
3.722
11%
17.5
48
58.493
.02
.105
.35
.277
2
6.981
5.264
24%
48.7
34
162.447
.02
.292
.973
.554
3
8.568
6.447
24%
73.4
10
244.7
.02
.440
1.467
.831
4
7.250
7.445
2%
52.5
63
175.21
.02
.315
1.05
1.10
9
Part 1:
To find the experimental velocity I used the formula (2pir)/t. Once
I had the formula, I plugged in the values to find 2pi(.3)/.45 in the
first trial which equals 4.189. to find the theoretical velocity I used
the formula √(Mgr/m). once I had the formula, I plugged in the
values for the first trial √(.02825*9.81*.3/.006) I then evaluated
this and got the answer 3.722.
Use spreadsheet software (i.e., Excel or Google sheets) to create a graph of
v
E
2
versus the centripetal acceleration, a
c
, from Activity 1. Include a line of
best fit and record the equation of the line.
10
20
30
40
50
60
70
80
0
50
100
150
200
250
300
f(x) = 40.18 exp( 0.03 x )
ve^2 vs. centripetal acceleration
2
© 2021 Carolina Biological Supply Company
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