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# Stifness of Steel Lab

Extracts from this document...

Introduction

Determining the Stiffness of Steel                        Adnan Masood

3/8/2009                        Partner: Abdelrahman

Variables:

Independent: Length of blade (m)

Dependant: Time taken for 1 oscillation (s)

Controlled:

• Mass of the magnets (One pair of magnets weighing 59.08g was used throughout the experiment)
• Place of Release (Using tape, it was marked where the blade would be released from)
• Type of Hacksaw Blade (One blade was used throughout the experiment)
• Number of Oscillations (5 Oscillations timed for each trial)

Data Collection:

Table 1-Constant Values

 Mass of Magnet 59.08g±0.01 0.05908kg±0.00001 Thickness of Blade 0.77mm±0.05 0.00077m±0.00005 Depth of Blade 0.65cm±0.05 0.0065m±0.00005
• For the mass, an uncertainty of0.01g was used, as the uncertainty was stated on the weighing machine.
• For the thickness and depth, an uncertainty of0.05mm was used, as the uncertainty was stated on the micrometer.

Table 2-Average Time for 5 Oscillations

 Number of Oscillations Distance from Clamp (m) Uncertainty (m) ± Trial 1 (s) Trial 2 (s) Trial 3 (s) Trial 4 (s) Trial 5 (s) Average (s) Uncertainty (s) ± 5 0.1620 0.0005 1.28 1.37 1.31 1.40 1.22 1.32 0.04 5 0.2080 0.0005 1.66 1.78 1.81 1.66 1.69 1.72 0.03 5 0.2240 0.0005 2.47 2.16 2.19 2.38 2.20 2.28 0.06 5 0.2420 0.0005 2.53 2.65 2.60 2.75 2.66 2.64 0.04 5 0.2710 0.0005 3.28 3.22 3.13 3.42 3.22 3.25 0.06
• For the distance from the clamp, an uncertainty of 0.0005m was used as it was half the smallest increment on the ruler.
...read more.

Middle

 Time Taken for 1 Oscillation Uncertainty (s) ± 0.264 0.008 0.344 0.006 0.46 0.01 0.528 0.008 0.65 0.01

Sample Calculations

Finding Time for 1 Oscillation                      Finding Uncertainty

=0.008

Table 4-Transforming Data to plot onto graph

 Time Taken for 1 Oscillation Uncertainty (s) ± Distance from Clamp (m) Uncertainty (m) ± 0.070 0.004 0.0043 0.000039 0.118 0.0090 0.212 0.0112 0.279 0.0142 0.423 0.013 0.0199 0.000110

Squaring Time

0

Finding Uncertainty

Graph 1-Transforming Graph in order to get a linear relationship

• Uncertainty too small to be seen
...read more.

Conclusion

Works Cited

Young Modulus of Elasticity for Metals and Alloys." Engineering ToolBox. 08 Mar. 2009

<http://www.engineeringtoolbox.com/young-modulus-d_773.html>.

...read more.

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