Ball on Incline Lab Report

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Ball on Incline Lab Report Powered By Docstoc
					                                                                   Andrew J. Kartsounes
                                                                   November 2nd, 2005
                  The Ball Rolling Down an Incline Lab
PURPOSE
     To create graphical and mathematical representations of the relationship
  between the position and the time for a ball rolling down an incline.


APPARATUS
         Photogates
                                                       
         Meter Stick                                   x
         Ball
         Incline ramp




PROCEDURE
     Choose a position by placing the photogates at a particular separation. Measure
  the time it takes for the ball to roll to the chosen position by starting the ball as close
  as possible to the top photogate and letting it roll down the incline. Repeat three
  times for each position and record the trials. Repeat for a total of six different
  positions.


DATA

      Position                                        Time (s)
        (m)                    Trial 1                 Trial 2                 Trial 3
          0                       0                       0                       0
       0.1168                  0.3632                  0.3717                  0.3639
       0.2571                  0.6129                  0.6021                  0.6043
       0.3761                  0.7222                  0.7284                  0.7271
       0.5561                  0.8716                  0.8794                  0.8961
       0.5871                  0.9434                  0.9360                  0.9336
       0.8095                  1.1017                  1.0832                  1.0801
The Ball Rolling Down an Incline Lab                                                page 2


EVALUATION OF DATA

                                  Average Time Time2
                                       (s)      (s2)
                                        0           0
                                      0.37        0.14
                                      0.61        0.37
                                      0.726       0.53
                                      0.88        0.77
                                      0.94        0.88
                                       1.1        1.2




      The position vs. time was graphed resulting in a top–opening parabola. The
   position vs. the time2 was then graphed resulting in a straight line of correlation
   coefficient 0.9985 containing the point (0, 0). Therefore, the position is directly
   proportional to the time2.
The Ball Rolling Down an Incline Lab                                                 page 3


CONCLUSION
                                                                        
       As stated in the EVALUATION OF DATA section, the position ( x ) is directly
   proportional to the time2 ( t 2 ).
                                              
                                              x  t2
   Since the y-intercept found from the graph is less than 5% of the maximum position,
   the y-intercept is negligible. This means that when the time is 0 s, the initial position
   of the ball is 0 m. The slope of the graph is 0.6636 m 2 which as shown in class is ½
                                                              s
   of the acceleration. Therefore, our math model is
                                       
                                       x  (0.6636 m 2 )t 2 .
                                                     s
     Any error in this experiment may have been caused by not releasing the ball as
   close as possible to the top photogate or incorrect measurements of the position of
   the photogates.

				
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posted:8/5/2011
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