大学物理实验报告英文版测薄透镜焦距

PhysicalLabReport:HarmonicOscillator

Writer:Partner:

Experimentdate:26.9.2012&10.10.2012

Reportdate:13.10.2012

ⅠGoaloftheexperiment

1.Getfamiliarwiththeairtrack,Jonly

balance,andtimingmeasurementdevice.

2.DosomefundamentalexperimentstocheckoutseveralrelationsaboutHarmonicOscillator.

ⅡPrincipleoftheexperiment

1.Formula,,,

2.Iftwospringswithspringconstantsk1andk2,attachingtobothsidesofanobject.,thenthefinalk=k1+k2

ⅢMeasurements

Thesamestepsreferredinthepassage“HarmonicOscillator”teachergaveus.

ⅣExperimentaldataandanalysis

1.Measurementofspringconstants

Experimentaldata:

K1

m/g

4.83

9.61

14.4

19.23

24.09

X1/cm

6.21

6.21

6.21

6.21

6.21

X2/cm

8.22

10.48

12.52

14.72

16.72

K2

m/g

4.83

9.61

14.4

19.23

24.09

X1/cm

0.21

0.21

0.21

0.21

0.21

X2/cm

2.15

4.15

6.06

8.03

10.09

K3

m/g

4.83

9.61

14.43

19.22

24.09

28.92

X1/cm

3.38

3.38

3.38

3.38

3.38

3.38

X2/cm

5.41

7.52

9.62

11.62

13.7

15.81

Analysis(dataprocessingandgraph):

K1

m/kg

0.00483

0.00961

0.0144

0.01923

0.02409

△x/m

0.0201

0.0427

0.0631

0.0851

0.1051

mg/N

0.047334

0.094178

0.14112

0.188454

0.236082

Fromthegraph,weknowthatk1=2.2202N/m,andR2=0.9995showsthatmgand△xareverylinearlyrelative.

k2

m/kg

0.00483

0.00961

0.0144

0.01923

0.02409

△x/m

0.0194

0.0394

0.0585

0.0782

0.0988

mg/N

0.047334

0.094178

0.14112

0.188454

0.236082

Fromthegraph,weknowthatk2=2.3872N/m,andR2=0.9999showsthatmgand△xarequitelinearlyrelative.

K3

m/kg

0.00483

0.00961

0.01443

0.01922

0.02409

0.02892

△x/m

0.0203

0.0414

0.0624

0.0825

0.1033

0.1244

mg/N

0.047334

0.094178

0.141414

0.188356

0.236082

0.283416

Fromthegraph,weknowthatk3=2.2759N/m,andR2=0.9999showsthatmgand△xarequitelinearlyrelative.

2.Studytherelationshipbetweenoscillationperiodandthemassoftheoscillator

Experimentaldata

m/g

181.1

185.89

190.68

195.51

200.29

10T/ms

12634.1

12784.4

12940.5

13098.5

13251.2

ms/g

22.07

Analysis(dataprocessingandgraph)

M=m+ms/3

M/kg

0.188456667

0.193246667

0.198036667

0.202866667

0.207646667

1.596204828

1.634408834

1.674565403

1.715707023

1.755943014

T/s

1.26341

1.27844

1.29405

1.30985

1.32512

Fromthegraph,weknowthatT2andMarequitelinearlyrelative.And,so=8.3496N/m,wecanfigureoutk=4.7282N/m.

Andk1+k2=2.2202+2.3872=4.6074N/m,theerrorrateis2.62%,whichisacceptable.

3.Studytherelationshipbetweenoscillationamplitudeandperiod.

Experimentaldata:

m=192.41g

ms=22.07g

A/cm

10

20

30

35

40

50

10T/ms

12618.6

12617.3

12620.7

12622.1

12619.6

12615.1

Analysis(dataprocessingandgraph)

A/m

0.1

0.2

0.3

0.35

0.4

0.5

T/s

1.26186

1.26173

1.26207

1.26221

1.26196

1.26151

Fromthegraph,R2=0.0303saysthatAandThavelittlerelation.

4.Studytherelationbetweenvmax2andA2

Experimentaldata

m=192.41g

ms=22.07g

M=m+ms/3=199.77g

vmax/cm/s

48.8

96.52

143.27

166.94

190.84

239.23

A/cm

10

20

30

35

40

50

Analysis(dataprocessingandgraph)

0.01

0.04

0.09

0.1225

0.16

0.25

0.238144

0.93161104

2.05262929

2.78689636

3.64199056

5.72309929

Fromthegraph,wecanknowvmax2andA2arestrictlylinearlyrelative.

ⅤDiscussionandconclusion

Inthisexperiment,IhavebecomefamiliarwithsomeexperimentaldeviceandhavehadsomeresultsaboutHarmonicOscillator:

1.Thespringconstantsarek1=2.2202N/m,k2=2.3872N/m,k3=2.2759N/m.

2.Intherangeofpermittederrors,T2andMarelinearlyrelative.

3.Intherangeofpermittederrors,AandThavenorelation.

4.Intherangeofpermitt