1. Starter Hint: consider  f =  i +  i t + ( 1/2)  t 2 Hint: consider  f =  i +  i t + ( 1/2)  t 2 A student records the motion of a spinning object and obtains a theta vs. time graph. The computer gives a fit:  (t) = At 2 + Bt + C where A = 6.50, B =.001 and C = 0.00 A student records the motion of a spinning object and obtains a theta vs. time graph. The computer gives a fit:  (t) = At 2 + Bt + C where A = 6.50, B =.001 and C = 0.00 What is the experimental value of the angular acceleration  ? (1/2)   = 6.50 so  = 13.0 rad/s 2

2. Practice Recall from the circular motion study that:  f =  i +  i t + ( 1/2)  t 2  f =  i +  t Recall from the circular motion study that:  f =  i +  i t + ( 1/2)  t 2  f =  i +  t You will investigate these relationships.

3. Procedure 1.Connect the smart pulley to the Pasco interface. 2.Start Data Studio. 3.Select “ Create experiment”. 4.Add the smart pulley sensor. 5.On the 2 nd measurement tab select “ angular velocity and angular position” using radian measure. 6.Place a string and a weight hanger over the pulley as shown. Hold the end of the string without the pulley. 7. Press collect and release the string.

4. Analysis A.Obtain a theta vs. time graph. Fit a curve to your graph and sketch the graph. B.Obtain a angular velocity vs. time graph. Fit a line to the graph and sketch the graph. C.Find the experimental acceleration from your theta vs. time graph. Call this value E 1. D. Find the experimental acceleration from your  vs. time graph. Call this value E 2. E. Find the % difference between E 1 and E 2.

5. Questions Write 1 or 2 paragraphs explaining the results ( your two graphs ) including an explanation of: 1. How you obtained the angular acceleration from each graph. 2. How the graphs compare to the y vs. t graph and v vs. t graph for free fall.

6. Lab Report Checklist A.Cover Sheet B.Two Graphs C.Both accelerations and the percent difference. D.Questions E.Summary

7. EXIT A student records the motion of a spinning object and obtains an  vs. time graph. The computer gives a fit:  (t) = At + B where A = 8.50 and B = 1.00 A student records the motion of a spinning object and obtains an  vs. time graph. The computer gives a fit:  (t) = At + B where A = 8.50 and B = 1.00 What is the experimental value of the angular acceleration  ?