# 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.

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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