Centripetal acceleration as a function of angular speed

Centripetal acceleration as a function of of angular speed
Introduction:
In this activity that we did together in class, we learned how to find the relationship between angular velocity and angular acceleration with an experimental method. We used the motion of a turntable as our experiment  model.
Equipment needed and procedure:
We need to use a stopwatch to record the total time it took for the turntable to finish five spin, in order to find its average period for each 1 complete spin motion. The following is a picture of the turntable that we used to simulate rotational motion.

Data:
The data of this lab is collected together by all the classmates, and we find the average of each groups' result to be more accurate:

The data can then be organized into the following chart, as theoretically we were always told that centripetal acceleration= v^2/r=w^2*r, we make an column of w^2:

Then we used logger pro to analyze the data into the following acceleration vs w^2(rotational speed^2):

Conclusion:
The graph is very close to a straight line that inclines upward with a slope= 0.1493, so we can sum up that centripetal acceleration, a, is direct proportional to square of angular velocity,w^2. Our graph pretty much proved the equation that we normally used to find angular acceleration:
ac=v^2/r=w^2*r.