Physics AP - Ticker Tape Timer Lab (#4) Background: The Ticker Tape Timer moves at a frequency of 60Hz per second. That speed is constant. The graph of distance over time for the push of the car should be curved for the first few thirtieths of a second then the graph goes straight, then for the instantaneous velocity over time is a straight line because acceleration is constant after the initially push. The graph of the pendulum for distance over time should be the first part of a sin curve. For the graph of instant- aneous velocity over time is a parabola. For the graph of acceler- ation over time should be a cosine curve. Problem: To be able to picture the difference of velocity and acceleration. Procedure: 1. First you have to pull the ticker tape timer tape through the ticker tape timer. 2. Then count the dots and circle every third dot to minimize the risk of error. 3. Next you have to set up the ticker tape timer so that you can push a car. Push the car so that the tape is pulled with the car through the TTT. 4. When you finish measuring the distance to the circled dots then graph the data you find. 5. Then set up the ticker tape timer so you can drop a weight with the tape on the weight. 6. Repeat step 4. 7. Then make a graph by measuring the distant between the non-circled dots divided by (1/30), over time for the instantaneous velocity. This is the Cheating Method to find the slope of a point, instead of drawing tangent lines to find the slope of the point. The way the cheating method work is finding the slope between two points until the two points are so close it just like finding the slope of one point. 8. After that you should set up the TTT so that you can drop the pendulum. 9. Repeat steps 4 and 7. 10. Using the distance data from step 9 part 7 graph the acceleration over time. Data: For the Car TIME Distance from origin 0/30s 0cm 1/30s .8cm 2/30s 3.1cm 3/30s 7.6cm 4/30s 14.3cm 5/30s 22.0cm 6/30s 29.3cm 7/30s 36.1cm 8/30s 43.8cm 9/30s 50.2cm 10/30s 50.79cm 11/30s 61.6cm 12/30s 71.5cm 13/30s 78.3cm 14/30s 85.2cm For the Weight TIME Distance from origin Vinst Time 0/30s 0.00cm 59.4cm/s 1/30s 1/30s 1.51cm 102cm/s 2/30s 2/30s 4.22cm 121.8cm/s 3/30s 3/30s 8.05cm 162.9cm/s 4/30s 4/30s 12.73cm 199.8cm/s 5/30s 5/30s 18.70cm 225.6cm/s 6/30s 6/30s 26.09cm 2.61.9cm/s 7/30s 7/30s 34.59cm 288.3cm/s 8/30s 8/30s 43.65cm 323.4cm/s 9/30s 9/30s 53.78cm 348.9cm/s 10/30s 10/30s 64.39cm 388.8cm/s 11/30s 11/30s 76.89cm 411cm/s 12/30s 12/30s 89.77cm Data for Pendulum TIME Distance from origin Vinst Time Accel Time 0/30s 0cm 4.5cm/s 1/30s 135cm/s2 1/30s 1/30s .15cm 13cm/s 2/30s 195cm/s2 2/30s 2/30s .31cm 60.8cm/s 3/30s 608cm/s2 3/30s 3/30s .55cm 64.2cm/s 4/30s 481.5cm/s2 4/30s 4/30s 1.11cm 33cm/s 5/30s 198cm/s2 5/30s 5/30s 2.11cm 52.5cm/s 6/30s 262.5cm/s2 6/30s 6/30s 3.51cm 64.5cm/s 7/30s 276.4cm/s2 7/30s 7/30s 5.45cm 76.5cm/s 8/30s 286.8cm/s2 8/30s 8/30s 7.82cm 108cm/s 9/30s 360cm/s2 9/30s 9/30s 10.81cm 199.7cm/s 10/30s 359.1cm/s2 10/30s 10/30s 14.25cm 123.6cm/s 11/30s 337cm/s2 11/30s 11/30s 17.98cm 132.2cm/s 12/30s 330.5cm/s2 12/30s 12/30s 21.95cm 135.9cm/s 13/30s 313.6cm/s2 13/30s 13/30s 26.47cm 170.4cm/s 14/30s 365.5cm/s2 14/30s 14/30s 31.12cm 170.4cm/s 15/30s 340.8cm/s2 15/30s 15/30s 36.13cm 169.2cm/s 16/30s 317.3cm/s2 16/30s 16/30s 41.83cm 174.6cm/s 17/30s 308cm/s2 17/30s 17/30s 47.47cm 180cm/s 18/30s 300cm/s2 18/30s 18/30s 52.99cm 189cm/s 19/30s 298.4cm/s2 19/30s 19/30s 59.10cm 200.4cm/s 20/30s 300.9cm/s2 20/30s 20/30s 65.14cm 194.1cm/s 21/30s 277.3cm/s2 21/30s 21/30s 72.11cm 204.6cm/s 22/30s 279cm/s2 22/30s 22/30s 78.39cm 198cm/s 23/30s 258.8cm/s2 23/30s 23/30s 84.89cm 222.9cm/s 24/30s 279cm/s2 24/30s 24/30s 90.64cm 25/30s 98.40cm 26/30s 106.39cm Analysis/Conclusion: This lab has helped me to see the differences between velocity and acceleration. My data for the pendulum and the weight dropping for instantaneous velocity and the acceleration didn't turn out right. I must have use the equations wrong or I must have done something wrong with the ticker tape timer tape.