單擺實驗報告

Times

Mass(g)

θ（°）

L（cm）

Tof10times（s）

T（s）

1

26

30

14.00

7.50

0.750

2

26

45

14.00

7.48

0.748

3

26

60

14.00

7.35

0.735

4

26

30

30.90

9.90

0.990

5

26

45

30.90

9.94

0.994

6

26

60

30.90

10.09

1.009

7

26

30

47.00

13.40

1.340

8

66

30

14.00

7.25

0.725

9

66

45

14.00

7.34

0.734

10

66

60

14.00

7.42

0.742

11

66

30

30.90

10.78

1.078

12

66

45

30.90

10.98

1.098

13

66

60

30.90

11.02

1.102

14

66

30

47.00

13.05

1.305

Report

Wefirsttalkedabouttheinfluencefactorsofthisresearch.Thenwefoundthatmass,angleandlengthoftheropemaybethemostimportantfactors.Afterthatwestartedtodesigntheexperiment.Weusedtwoballsrespectivelyweighs26gramsand66grams,aropewithsufficientlength,afootandaprotractor.

Aswethought,whentheangleandthelengthofropearethesame,theballwithmoreweightmayrunsfasterthanthelighterone.Whentheweightandlengthofropearethesame,thesmall-angleonerunsfasterthanthebig-angleone.Whentheangleandtheweightarethesame,theshort-ropeonerunsfasterthanthelong-ropeone.Thenwehadfinishedthepreperationandwecouldstarttodotheresearch.

Firstweusedaballweighs26gramstodothestudy.Thenweusedthesamelengthoftheropeandwechangetheangleof30°,45°and60°.Thenweteatedseveraltimesforeachangleandtookdownthetheexperimentaldata.Nextwechangedthelengthoftheropeandthendidthesametestsandtookdowntheexperimentaldata.

Whenweweredoingtheexperiment,wefoundthat10periodsmaybeaverylongtime.Butinordertoaccuratelyconcluded,wecouldonlycountisonceandonce.

CASEI:OnlyMassmvaries

Wefoundthatifnolymassvaries,theperiodnotchangesmuch.Sowethinkthatthesmallchangesarecausedbysomesmallerrors.Sowecanconcludethatthereisnoconnectionbetweenmassandperiodinpendulumexperiment.

CASEII:OnlyAngleθvaries

WhenweweredoingtheexperimentwefoundthatwhenonlychangetheanglethedatawassimilarwithCASEI.Thedatasnotchangedverymuch.Sowecandrawaconclutionthatthereisnoconnectionbetweenangleandperiodinpendulumexperiment.

CASEIII：OnlyLengthlvaries

Tocompareseveralsetsofdata,wefoundthatthelengthoftheropehavesomelinkwiththeperiod.Whenthemassandtheanglearethesame,wechangethelengthofrope,theperiodwillchangealot.

Times

Mass(g)

θ（°）

L（cm）

Tof10times（s）

T（s）

1

26

30

14.00

7.50

0.750

4

26

30

30.90

9.90

0.990

7

26

30

47.00

13.40

1.340

Times

Mass(g)

θ（°）

L（cm）

Tof10times（s）

T（s）

8

66

30

14.00

7.25

0.725

11

66

30

30.90

10.78

1.078

14

66

30

47.00

13.05

1.305

Asthetwoformshows,theperiodisinfluencedbythelengthoftherope.Whenthelengthisbigger,theperiodisbigger.

Con