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Design of Experiment of single pendulum cycle time

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					Analysis of single pendulum cycle time

    by 宋馥璇 李润岐 朱家楠 赵兴政
Agenda

  Introduction

  Design of experiment

  Basic data analysis

  老婆,在这里写上你在添加了体积和密度两个factor之
  后所进行的分析的名字 或者这张Agenda就不要了

  Conclusion

  C&A
Background and Objective




                  Air resistance:
                        When the velocity is not high, the
                        aerodynamic drag upon the ball is
                        proportional to its SPEED and its MASS.
                   Objective:
                       Explore the influences of different
                       factors on the cycle time of a
                       single pendulum and give out the
                       general conclusions.
Experimental apparatus
Fishbone diagram
                           Ai                  Rope
       Air resistance      r                Angle
                                  Airflow                  Length

                Size
                       Velocity
                                                                    Cycle Time
  Temperature
Frictio                                       Density
n
    Other               Acceleration
                         of gravity         Mass
  Measurement                                      Size
     error
            Noise               Gravity              Bal
                                                     l
Design methodology
  Response variable   Total time to complete 20 cycles
                      t  20T
  Advantage           Make the differences apparent.

  Disadvantage        The amplitudes gradually decay.

  Measurement         At the lowest point.

  Operator number     1 and always the same one.

  Surveyor number     3 at the same time, averaged.
Design methodology
      Initial        Control level     Expected effect
  Input variable


      Mass            7.4g, 8.4g       Tiny influence
                         27.5g


     Length        0.2m, 0.3m, 0.4m,   Length longer
                      0.5m, 0.6m       Time t longer.


      Angle        10°, 20°, 30°,       Angle larger,
                     40°, 50°           Time t larger
Design methodology

    Fixed variable            General level               Control
     Temperature                  25°               Same time and place
 Acceleration of gravity        9.8N/kg             Same time and place
        Air flow                    \             Close doors and windows



                   Noise                               Control
          Measurement error                   1 operator and 3 surveyors
                   Friction                         Smooth hook
Experiment implementation
  Ball   type      Radius   Mass     Length       Angle

   1     Steel     1.25cm   8.4g    0.2m-0.6m   10°- 50°



   2     Steel     1.85cm   27.6g   0.2m-0.6m   10°- 50°



   3     Plastic   1.85cm   7.4g    0.2m-0.6m   10°- 50°



   4     Plastic   2.65cm   8.4g    0.2m-0.6m   10°- 50°

				
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posted:12/1/2012
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