• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  10. 10
    10
  11. 11
    11
  12. 12
    12
  13. 13
    13

Young Modulus of Copper

Extracts from this document...

Introduction

Physics TAS

Young Modulus of Copper

Objectives

-Determine the Young modulus of copper by simple experiment

-Study the relationship of strain and stress between elastic and plastic deformations of copper

-Verify a wire will not return to its original length after certain extensions

Preview Questions

1.Hooke's Law states that the elastic force is directly proportional to the extension (or compression) of the elastic body. A wire obeys Hooke's Law only if it is within its elastic limit.

2.Elastic deformation means a stretched wire will return to its natural length. If the wire is stretched beyond its elastic limit, it will not return to the original length and will make permanent extensions. This is called plastic deformation.

3.A longer wire will extend more than a shorter wire of the same cross-sectional area under the same applied force.

4.As in Q.3 , force constant can be easily affected by geometric factors such as length and cross sectional area. But the stiffness of materials depends on their Young modulus only, which is not affected by geometric factors. So force constant is not a good quantity to compare the stiffness of materials.

Apparatus

Copper wire ..................1 roll                         slotted mass with hanger

100g hangers ....................1

                                                                          100g slotted mass .........~15                                                                                    

image00.jpgimage01.jpg

     G-clamp ....................1                          white label sticker.................1

image03.jpgimage04.jpg

   clamp-on pulley ..........1                     micrometer screw gauge...........1

image05.jpgimage06.jpg

     metre rule ................2                               newspaper.............several

image07.jpgimage08.jpg

Theory

The following quantities is important for the experiment's concerns:

Stress is defined as  σ=Force / Cross-sectional area ( F/A )

Strain

...read more.

Middle

D4

Mean

Value

(in ±0.005mm)

0.370

0.365

0.670

0.370

0.3688

Natural length of the wire=1.15m

Experiment 1:

Load(kg)

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

Extension(10^-3 m)

0

0.5

0.5

1

1

1.5

1.5

2.0

Load(kg)

0.9

1

1.1

1.2

1.3

1.4

1.5

1.6

Extension(10^-3 m)

2.5

2.5

3.0

3.0

3.5

4.0

5.5

12

Load(kg)

1.7

1.8

1.9

2.0

2.1

2.2

2.3

Broken

Extension(10^-3 m)

19

34

46

60

77

98

125

/

Maximum load for elastic deformation=1.3 kg

Load for breaking the wire=2.3 kg

Experiment 2 :

Load(kg)

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

Extension

(10^-3)

0

0.5

0.8

1

1.2

1.5

1.5

2

Load(kg)

0.9

1

1.1

1.2

Elastic

limit

exceeded

Extension(10^-3)

2.5

2.5

3

3.5

/

/

/

Calculations & Graphs

Maximum possible error of  metre rule = 0.1 cm=0.01m

Maximum possible error of

   micrometer screw gauge      =0.005mm=5x10^-6 m

Cross-sectional area of the wire = 1.068x10^-7 m^2

Percentage error = 2x6.

...read more.

Conclusion

image02.jpg

Discussion

1.Near the breaking point, the shape of the wire is very narrow.

2.During elastic deformation, the hanger falls and loses gravitational potential energy. This energy change to elastic potential energy. If the wire is unloaded, the energy will be restored to GPE and the wire will return to is original length.

3.During plastic deformation, the loss of gravitational potential energy becomes the work done to increase the length of the wire (increase the separations of the particles in the wire). This energy would not be restored even the wire is unloaded.

4.Double of the amount of the load is required to break the wires.

Conclusion

To obtain the Young modulus of the copper wire by this experiment is convenient. A few apparatus and steps are needed, and it only involves easy calculations. But by comparing to the actual value(124G Pa), the result we get (38.9 G Pa) has a great difference from it.

 This may due to the experiment is done in several assumptions and estimations. We assumed g=10ms^-2 and the wire is made of pure copper. We neglected environmental factors and assumed the wire was stretched evenly in every parts.

In short, although the experiment is not accurate enough, it provides a good chance for students to practice what they have learned. It is quite shocked that a very thin and long wire can withstand more than 2 kg load.

The End

...read more.

This student written piece of work is one of many that can be found in our AS and A Level Mechanics & Radioactivity section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related AS and A Level Mechanics & Radioactivity essays

  1. Copper Young's modulus

    Errors & accuracy: From the graph, the slope of the best fit line: the maximum slope: the minimum slope: Deviations: m+ - m = 12.1 Deviations: m - m- = 26.0 The maximum error in slope = larger of the deviations = 26.0 Slope of load-extension graph = (192.7 � 26.0)

  2. Investigating the factors affecting tensile strength of human hair.

    There is one anomaly, though. The extension should not increase and then decrease. It should keep on decreasing. There must have been an error in recording this result. The results in graphs 2, 3, 4 and 5 are all averages.

  1. Use of technology in a hospital radiology department. The department of imaging is one ...

    The purpose of each is briefly described below. Camera collimator, this is the first place that an emitted gamma photos encounters after exiting the body. The collimator is a pattern of holes through gamma ray absorbing material, usually lead or tungsten that allows the projection of the gamma ray image onto the detector crystal.

  2. Young Modulus case study

    Place a marker on the line next to a scale.

  1. Young's Modulus of Nylon

    If this fails in the actual experiment then I will need to re-evaluate my plan and decide on a new method of conducting the experiment to meet this criteria. To increase reliability, accuracy and to eliminate possible anomalous results, I will aim to repeat the entire experiment three times to gather average readings.

  2. The physics involved with a rollercoaster.

    Negative g's are a rider's heaven and a designer's nightmare. Negative g's are avoided as much as possible. A negative g has a different effect on a rider than a positive g. Both negative and positive g's can cause a rider to pass out.

  1. D2 Measurong Young's modulus of copper(TAS)

    slotted mass to the wire (from the wooden blocks to the slotted mass) 5.The copper was loaded in steps and the extension produced was recorded.

  2. Calculating the Young Modulus of Constanton

    Weight (g) Mass (N) Length (mm) Stress (Nm-2/Pa) Strain 6) Repeat the experiment three times or until you get a set of similar results. Results Experiment 1 In the first attempt at calculating the youngs modulus of constanton i used 0.44mm diameter wire with an initial length of 500mm.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work