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Young's Modulus Experiment: Determining the Elastic Properties of Aluminum and Steel, Lab Reports of Physics

This laboratory report details an experiment designed to determine the young's modulus of aluminum and steel samples. The experiment involves applying varying forces to the samples and measuring the resulting deformation. The report includes tables of data, calculations, and a discussion of the results. It provides a practical understanding of the concept of young's modulus and its relationship to material stiffness.

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2024/2025

Uploaded on 12/23/2024

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PHYSICS 103L
LABORATORY EXPERIMENTS
EXPERIMENT 9
YOUNG’S MODULUS - Report
Name: Adar Turan
Section: 11
Table ( 15 points):
Aluminum
Mass
(g)
Force (N)
F = m.g
Width
(m)
a
Thickness
(m)
h
Δy (m)
E (N/m2)
EAVE
60g
0.5886
10x10-3
3x10-3
0.0002
49049999.99999999
5.05×10^-7
110g
1.0791
0.0004
44962500.0
160g
1.5696
0.0005
52320000.0
210g
2.0601
0.00065
52823076.92307691
260g
2.5506
0.0008
53137500.0
Aluminum
Mass
(g)
Force (N)
F = m.g
Width
(m)
a
Thickness
(m)
h
Δy (m)
E (N/m2)
EAVE
60g
0.5886
10x10-3
2x10-3
0.0007
21021428.571428567
1.96×10^-
7 
110g
1.0791
0.0016
16860937.5
160g
1.5696
0.0021
18685714.28571428
pf3
pf4
pf5

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PHYSICS 103L

LABORATORY EXPERIMENTS

EXPERIMENT – 9

YOUNG’S MODULUS - Report

Name: Adar Turan

Section: 11

Table ( 15 points):

Aluminum Mass (g) Force (N) F = m.g Width (m) a Thickness (m) h Length (m) L Δy (m) E (N/m^2 ) EAVE 60g

10x10-^3 3x10-^3 500x10-^3

5.05×10^- 7

110g

160g

210g

260g

Aluminum Mass (g) Force (N) F = m.g Width (m) a Thickness (m) h Length (m) L Δy (m) E (N/m^2 ) EAVE 60g

10x10-^3 2x10-^3 500x10-^3

1.96×10^-

110g

160g

210g

260g

Draw F - Δy graph for each one. (20 points)

260g

Steel Mass (g) Force (N) F = m.g Width (m) a Thickness (m) h Length (m) L Δy (m) E (N/m^2 ) EAVE 60g

20x10-^3 1.5x10-^3 500x10-^3

1.58×10^- 7

110g

160g

210g

260g

Draw F - Δy graph for each one. (20 points)

Results: (15 points +15 points if you choose your own sentences) The experiment successfully determined the Young’s Modulus values for Aluminum and Steel samples with varying dimensions. For Aluminum, the 3 mm thickness sample had an average Young’s Modulus of N/m^2, while the 2 mm thickness sample showed a lower average of 1.96×10^ 7 N/m due to the reduced cross-sectional area. For Steel, the 15 mm width sample had an average Young’s Modulus of 1.37×10^7 N/m^2 , whereas the 20 mm width sample displayed a slightly higher average of 1.58×10^7N/m^2. These results align with theoretical expectations, demonstrating that changes in cross-sectional dimensions influence the stiffness of the material. Minor discrepancies may have resulted from experimental errors, such as inaccuracies in measuring displacements or imperfections in the materials.