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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 ofimage00.pngimage00.png0.01g was used, as the uncertainty was stated on the weighing machine.
  • For the thickness and depth, an uncertainty ofimage00.pngimage00.png0.05mm 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 image00.pngimage00.png0.0005m 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                                                                                                        

image07.pngimage07.pngimage08.pngimage08.png

image09.pngimage09.png                                                         =image00.pngimage00.png0.008

image10.pngimage10.png

Table 4-Transforming Data to plot onto graph

image11.png

image12.png

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

image13.png

image14.pngimage14.png0

Finding Uncertainty

image15.pngimage15.png

image16.png

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

image17.png

  • 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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