Centripetal Acceleration Vs Angular Frequency

Lab 8
3/29/17
Ana Leyva , Jonathan, Andrew

For this experiment we are trying to find a relationship between centripetal force and angular speed (omega w).
What we are trying to see in this experiment is how and if there is a relationship between the centripetal force and angular speed. In order to see if there is a relationship we will use our equation F=mrw^2 to plot a force vs mass, force vs radius, and force vs w^2 graph to see if there is any relationship between these graphs.

apparatus used for this experiment

For this experiment we used this pre constructed apparatus to help us collect the period and force data. We did this for different masses, radii, and power supply. Then with all the information that we gathered from this, we started to create our graphs. 

An excel sheet of all our recorded data

Force vs Mass 

Force vs Radius

Force vs w^2

For our three graphs the graph which was the closest to our calculated value was our Force vs. w^2 graph. We believe that this is that graph that gives us an answer closest to our actual graph because for this one it was easier to make sure that our mass and radius were the same for our 4 trials. Keeping w and the force constant was harder to achieve. In the Force vs w^2 graph we are taking this into consideration which is why it makes our calculated and graph value so much closer than the other two. 

Although the our third graph gave us values that were way similar to our calculated values it still wasn't perfect. This is due to our experiment not being completely error proof. Our apparatus didn't perform perfect which means that the values that we got weren't 100% accurate. The power source of our apparatus is also a source of error this is because the power source isn't always the same it fluctuates which results in us not getting data that will be the same every time the experiment is done.