Apparatus: We used a spinning table, a motion sensor, and logger pro.
Spinning wheel and motion senor.
What we did: First Professor Wolf handed us all a stop watch and told us to measure the amount of time it took for the sensor to revolve around the table four times.( obtaind time for four Periods) He would spin the wheel and we would measure the time. After we measured the time for four revolutions he asked us for the time and he recorded it on the board. He took the average of all our times and used that time for our data. Logger pro recorded the spin and obtained an acceleration. We did this process of obtaining the time of four revolutions for five different accelerations and recorded the time and acceleration.
How this information was used: We put the information onto logger pro. On the first column we inserted the time for four periods. In the second column we plotted the Acceleration for that time period. In the Third column we inserted the time for one revolution. In the final column we inserted a formula to obtain omega. After inserting our data we plotted it into an Acceleration Vs Omega Chart.
This is our chart and graph.
Conclusion: We were able to obtain all the information needed just by measuring the acceleration and time for each revolution. However the data we obtained was faulty at first because we were unable to find the radius of our spinning table. What happened was that us students were actually giving the professor the time for three revolutions. After fixing all of our formulas by changing the time obtained from four periods to three, we were able to rind the radius of the spinning table. The function above is written as a=Ax. The A is said to be .18 meters which was close to the actual radius of our table. The function we derived is one of the equations needed to solve centripetal acceleration problems. This Equation states that centripetal acceleration (a) is equal to the radius (A) times omega(x) where omega was squared before plotting.
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