Experiment twelve_ Angular Momentum
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Apr 3, 2024
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5
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Alexis Ortiz
A20532815
Experiment 12
Experiment twelve: Angular Momentum
Part 1a: (Moment of Inertia of Disk)
Mass (kg)
Angular Acceleration
(rad/s^2)
Torque
Experimental moment of
inertia
0.0899
1.822
0.20087256
0.027562097
0.0899
1.824
0.20087256
0.027531875
0.0899
1.793
0.20087256
0.028007886
0.1099
2.199
0.24556056
0.027917299
0.1099
2.293
0.24556056
0.026772848
0.1099
2.53
0.24556056
0.024264877
0.1299
2.267
0.29024856
0.032008002
0.1299
2.25
0.29024856
0.03224984
0.1299
2.277
0.29024856
0.031867431
0.1498
2.635
0.33471312
0.031756463
0.1498
2.668
0.33471312
0.031363673
0.1498
2.65
0.33471312
0.031576709
0.1699
3.028
0.37962456
0.031342847
0.1699
3.003
0.37962456
0.031603776
0.1699
3.008
0.37962456
0.031551243
Part 1b: (moment of Inertia of Disk and Tube)
Mass (kg)
Angular Acceleration
(rad/s^2)
Torque
Experimental moment of
inertia
0.0899
0.878
0.09338812
0.02659115
Alexis Ortiz
A20532815
Experiment 12
0.0899
0.884
0.09338812
0.026410667
0.0899
0.887
0.09338812
0.026321342
0.1099
1.051
0.11416412
0.02715607
0.1099
1.064
0.11416412
0.026824276
0.1099
1.044
0.11416412
0.027338151
0.1299
1.38
0.13494012
0.024445674
0.1299
1.413
0.13494012
0.023874756
0.1299
1.413
0.13494012
0.023874756
0.1498
1.65
0.15561224
0.023577612
0.1498
1.653
0.15561224
0.023534822
0.1498
1.651
0.15561224
0.023563331
0.1699
1.908
0.17649212
0.023125278
0.1699
1.917
0.17649212
0.023016708
0.1699
1.892
0.17649212
0.02332084
Part 2: (Collision)
Initial Angular momentum
(rad/s)
Final Angular momentum
(rad/s)
Collision
% difference
13.963
8.261
1
51.31389489
16.988
10.472
2
47.4581209
14.544
9.25
3
44.4986131
17.279
11.228
4
42.45273091
19.082
12.101
5
44.77439631
Alexis Ortiz
A20532815
Experiment 12
1. Answer the following questions using the data you acquired in this experiment:
(a) Using the parallel axis theorem, write down the equations for the moment of inertia of a
short disk attachment and the short cylindrical tube. Calculate the moments of inertia
using the measured values of mass and radius.
Moment of inertia of disk:
𝐼
?𝑖??
=
1
2
??
2
=
1
2
(1. 3858?𝑔)(0. 228?
2
)
=
0. 0360 𝑁?
2
Moment of inertia of cylinder:
=
𝐼
?𝑦?𝑖????
=
1
2
??
2
1
2
(1. 4250?𝑔)(0. 106?
2
)
=
0. 00801 𝑁?
2
Moment of inertia total:
𝐼
???𝑎?
=
1
4
(?
?𝑖??
?
?𝑖??
2
+ ?
?𝑦?𝑖????
?
?𝑦?𝑖????
2
) =
1
4
((1. 3858?𝑔)(0. 228?
2
) + (1. 4250?𝑔)(0. 106?
2
)) =
0. 0217 𝑁?
2
(b) How well do the experimental values agree with the expected theoretical moments of
inertia when calculated using the parallel axis theorem?
(Part 1a): Using the equation
and accounting for the radial fraction, the experimental
𝐼 =
𝑇
α
moments of inertia were somewhat close to the theoretical value for moment of inertia. With a
percent error ranging from 12.6-22.2%, some energy was likely lost due to drag, friction, the
mass hanger behaving like a torsion pendulum due to uneveness in the z-axis, and the apparatus
being unbalanced.
(Part 1b): Using the same equation as in part 1a and accounting for the radial fraction, the
experimental moments of inertia were much closer to the theoretical value for the moment of
inertia of the combined disk and cylindrical tube. With the percent error ranging from
6.07-26.0%, the experimental data was more accurate with the calculated value but less precise.
This lack of precision may be due to the cylindrical tube being unevenly distributed on the disk,
the frictional force acting on the system, or errors in measuring the radii of the objects.
(c) How well is the angular momentum conversed in the second experiment? Is this
collision elastic or inelastic? Explain using energy relations.
The angular momentum is fairly well conserved in the second experiment as the total
mechanical energy is almost completely conserved. This can be seen with the addition of more
weight proportionally decreasing the angular momentum as angular momentum is divided by the
total weight of the system when the tube was dropped on the disk. (They are around the same
weight, so the final angular velocity should be around half as much.)
2. In a clear and concise manner, describe your observations of the single ball experiment.
Explain how the conservation of angular momentum can account for the behavior of the
graph obtained. In the same manner, describe and explain your observations of the three-ball
experiment.
At first, the single ball spun with the apparatus, remaining at the top with the applied
force being greater than the gravitational force acting on the ball, thus preventing the ball from
falling down like it would without any angular motion. As the apparatus lost momentum (due to
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Related Questions
A bus contains a 1600 kg flywheel (a disk that has a 0.62 m radius) and has a total mass of 9200 kg.Randomized Variablesm = 1600 kgr = 0.62 mmt = 9200 kgv1 = 23 m/sv2 = 2.75 m/s
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b. The bigger the weight of the coins, the bigger the weight needed to balance it out; hence, more of the ruler needs to over the edge of the table.
c. The more coins there are, the bigger the normal force magnitude that needs to considered in determining the total torque of the system.
d. None of the choices
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Pdep%323622379&tags=Dautosave#ques
9&tags%3Dautosave#ques
nd on page
Enter text to search
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Options v
-15 POINTS
SERPSE10 11.4.P.029.
A wad of sticky clay of mass m and velocity v, is fired at a solid cylinder of mass M and radius R (see figure). The cylinder is initially at rest and is mounted on a fixed horizontal axle t
perpendicular to the axle and at a distance d < R from the center.
(a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (Use the following as necessary: m, M, R, d, and v for the magnitude
rad/s
(b) Is the mechanical energy of the clay-cylinder system constant in this process?
O Yes
O No
Explain your answer.
This answer has not been graded yet.
(c) Is the momentum of the clay-cylinder system constant in this process?
O Yes
O No
Explain your answer.
e Type here to search
O SS
2.
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a. the time for which the force is applied
b. the radius at which the force is applied
c. the angular velocity of the wheel when the force is applied
d. the direction of the force
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身
Course Home
b My Questions | bartleby
+ x
llum.ecollege.com/course.html?courseld=D16202200&OpenVellumHMAC=315ff79a1d83
6>
Problem 11.54
A 0.019 kg record with a radius of 11 cm rotates
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Part A
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Express your a
L = 0.04
Submit
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1.5[m]
point
Pivot
F
/F
Adamantium
Wall
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with
claws
claws
A.
2/3
F
Wolverine
with
В.
3/2
with claws
С.
1
1.0[m] Pivot
Adamantium
D. I don't know but the torque direction is
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E. I don't know but the torque direction is
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Wolverine
Bare hands
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A:17
"I| L3%
Q 2Med Physics.pdf >
E. z component of angular momentum
6
26-The amount of work required to stop a moving object is equal to:
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27- The mass of a hydrogen atom, in kilograms, is approximately:
А. 10-27
В. 10-31
C. 10-24
D. 10-13
E. 10-8
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C. have similar chemical behavior
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E. have equal masses
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A. velocity, force, power
B. displacement, acceleration, force
C. acceleration, speed, work
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E. pressure, weight, time
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A. moving clocks run fast
B. energy is not conserved in high speed collisions
C. the speed of…
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33.6%
Resources
Lx Give Up?
O Hint
Consider the objects labeled A, B, C, and D shown in the figure.
米上
C
D
Each object is composed of identical thin sticks of uniformly distributed mass 9.15 kg and length 0.489 m. What are the
moments of inertia IA, IB, Ic, and Ip of the objects about a rotation axis perpendicular to the screen and passing through
the black dot displayed on each object?
IA =
kg-m²
IB =
kg-m2
Ic =
kg-m?
Ip =
kg-m?
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Figure
0.5 ft
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60%-0.5 ft-
2 ft-
I ft
1 of 1
Part A
Determine its angular velocity.
Express your answer in radians per second to three significant figures.
VE ΑΣΦ. 11
w=119
Submit Previous Answers Request Answer
Part B
vec
X Incorrect; Try Again; 3 attempts remaining
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?
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a.) What is the tension in cord C in Newtons?
b.) What is the acceleration of disk B in the y direction in m/s² (use + for the upward direction)?
c.) What is the acceleration of B in the y direction in m/s² If m₂ » m₂
Hint: you don't necessarily need the answer to c to solve but it can help.
d.) What is the acceleration of B in the y direction if ma >> mg
Hint: you don't necessarily need the answer to c to solve but it can help.
C
ha
D
Variable Value
10 kg
15 kg
0.1 m
0.1 m
0.3 m
0.5 m
725388
mg
ha
In
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B.) what is the magnitude and direction of the total ongular momentum?
m2
3 kg
%3D
2 m/s
40%
m3
4 kg
1 m/s
-4
-2
(m)
3 m/s
1.5 m/s
-2
m4 = 5 kg
m1 = 2 kg
%3D
-4
4.
2.
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Q3. Consider an
angular momentum 1 system, represented
by the stak vector
14》= 上
4
1
1
2
126
1 0
What is the probabilty that a measurement of ix
yields the value O ?
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b.) What is this torque, in pound-foot?
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Up
Left
Right
Down
A spinning disk is rotating at a rate of 5 rad/s in the negative clock-wise direction. If the disk is subjected to an
angular acceleration in the clock-wise direction at a rate of 4 rad/s, Find the wheel's angular velocity in rad/s after 2
S.
A. - 13 rad/s
B. + 13 rad/s
C. -8 rad/s
D.+ 3 rad/s
E. 5 rad/s
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Figure
2 m
'G
@
1 of 4
O No slipping
Part A
Determine the angular momentum of the 100-kg disk shown in (Figure 1) about point G,
measured clockwise. Suppose that w = 4 rad/s
Express your answer to three significant figures and include the appropriate units.
Enter positive value if the angular momentum is clockwise and negative value if the
angular momentum is counterclockwise.
HG =
Submit
Part B
НА
Value kg m²
m²/s
Request Answer
?
Determine the angular momentum of the 100-kg disk shown in (Figure 1) about point
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a. 1 rev/s
b. 7rev/s
c.3 rev/s
d. 9 rev/s
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Looking for guidance to question based on characteristics/assumptions of experiment:
Experiment background:
For our dynamic measurement of the moment of inertia, we will use a vertically-mounted turntable that has a hub attached at its center, which has three grooves of different radius, around which one can wind a string. A mass hanging from the free end of the string provides tension, which exerts a torque on the turntable, thus causing it to rotate. By measuring the time it takes the mass to fall from its initial height to the table top (or some reference line just above it), we can find aa, its (linear) acceleration. From this we can calculate αα, the angular acceleration of the turntable. From the weight of the mass, and its linear acceleration, we can find T, the tension in the string. Once we know all these things, we can calculate the torque, ττ, and from τ=Iατ=Iα find I, the moment of inertia of our turntable platter.
Assumptions made in this experiment:
- Turntable disk…
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help with these please.
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Up
Left
Right
Down
A spinning disk is rotating at a rate of 5 rad/s in the negative clock-wise direction. If the disk is subjected to an
angular acceleration in the clock-wise direction at a rate of 4 rad/s2, Find the wheel's angular velocity in rad/s after
2 s.
-3 rad/s.
8 rad/s.
3 rad/s.
-8 rad/s.
-13 rad/s.
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