Uniform motion air table lab report PDF

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Physics lab report on uniform motion...

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Physics 20 LAB: Uniform Motion on an Air Table

Problem: Can a level air table be used to simulate uniform motion? Observations Per Trial: Raw collection of data observed during a total of three trials of the puck moving across the air table, whilst making marks on a sheet of paper. To find the total time and total distance I will do the following steps, for every period and trial: 1) Take the time from a singular interval Ex. Trial #1, Period #1 0.050s 2) Multiply that value by the number of periods you want Ex. Trial #1, Period #2 (0.050s) (2) = 0.100s 3) Use the same process for distance Trial #1 Time Per Period: 0.050s Distance Per Period: 1.50cm  Every period in trial #1 has the same time and the same distance Trial #1 (table #1) Total Time (s) Total Distance (cm) 0.000 0.00 0.050 1.50 0.100 3.00 0.150 4.50 0.200 6.00 0.250 7.50 0.300 9.00 0.350 10.5 0.400 12.0 0.450 13.5 0.500 15.0

Trial #2

Time Per Period: 0.050s Distance in Period 1: 1.50cm Distance Per Period (2-10): 1.60cm  Every period in trial #2 has the same time. All of the periods have the same distance of 1.60cm, except the first period that has a distance of 1.50cm. This is because the puck accelerated slightly Trial #2 (table #2) Total Time (s) Total Distance (cm) 0.000 0.00 0.050 1.50 0.100 3.10 0.150 4.60 0.200 6.20 0.250 7.80 0.300 9.40 0.350 11.0 0.400 12.6 0.450 14.2 0.500 15.8 Trial #3 Time Per Period: 0.050s Distance Per Period: 1.60cm  Every period in trial #3 has the same time and the same distance Trial #3 (table #3) Total Time (s) Total Distance (cm) 0.000 0.00 0.050 1.60 0.100 3.20 0.150 4.80 0.200 6.40 0.250 8.00 0.300 9.60 0.350 11.2 0.400 12.8 0.450 14.4 0.500 16.0

Analysis:

Total Distance VS Total Time

Total Distance (m)

18 16 14 12 10

Trial 1 Trial 2 Trial 3

8 6 4 2 0 0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

Total Time (s) This graph uses data from Tables #1, #2, and #3 to graph the Total Distance as a function of Total Time for a puck travelling uniformly on an air table.

Proportionality Constant of Total Distance VS Total Time Graph The slope of the line can be determined from looking at the graph, by using the equation for slope. Find two points on the line and apply their X and Y values to the equation; slope = Y1 – Y2/ X1 – X2. Trial #1: I’ll choose the last point (0.50, 15.0) and the first point (0,0) plotted on my graph. (15cm-0cm)/(0.05s-0s) = 30cm/s Trial #2: I’ll choose the last point (0.50, 15.8) and the first point (0,0) plotted on my graph. (15.8cm-0cm)/(0.50s-0s) = 31.6cm/s Trial #3: I’ll choose the last point (0.50, 16.0) and the first point (0,0) plotted on my graph. (16cm-0cm)/(0.50s-0s) = 32cm/s

Total Speed this period VS Total Time To find the speed per period I will do the following steps, for every period and trial: 1) Identify the distance and time values Ex. Trial #1, Period #1: Distance (d) = 1.50 cm Time (t) = 0.050 s Speed (v) = ? 2) Change the SI units Ex. Trial #1, Period #1: Speed is always in m/s. We already have time in seconds, but distance is in centimeters, and must be in meters. To change the units I will use unit analysis. 1.50cm x 1m/100cm = 0.015 m 3) Identify the formula Ex. Trial #1, Period #1: Speed (v) = Distance (d)/Time (t) v= d/t 4) Plug the values into the formula Ex. Trial #1, Period #1: v= 0.015m/ 0.050s 5) Solve the equation Ex. Trial #1, Period #1: 0.015m/0.050s = 0.30 m/s Table of Values for calculated speeds: Using and applying the calculations above, these are the answers for Speed Per Period, along with Total Time, for Trial #1

Trial #1 (table #4) Speed Per Period Total Time (s) (m/s) 0.30 0.050 0.30 0.100 0.30 0.150 0.30 0.200 0.30 0.250 0.30 0.300 0.30 0.350 0.30 0.400 0.30 0.450 0.30 0.500 Using and applying the calculations above, these are the answers for Speed Per Period, along with Total Time, for Trial #2 Trial #2 (table #5) Speed Per Period Total Time (s) (m/s) 0.30 0.050 0.32 0.100 0.32 0.150 0.32 0.200 0.32 0.250 0.32 0.300 0.32 0.350 0.32 0.400 0.32 0.450 0.32 0.500 Using and applying the calculations above, these are the answers for Speed Per Period, along with Total Time, for Trial #3 Trial #3 (table #6) Speed Per Period Total Time (s) (m/s) 0.32 0.050 0.32 0.100 0.32 0.150 0.32 0.200 0.32 0.250 0.32 0.300

0.32 0.32 0.32 0.32

0.350 0.400 0.450 0.500

Total Speed this period VS Total Time

Speed Per Period (m/s)

0.33 0.32 0.32 0.31

Trial 1 Trial 2 Trial 3

0.31 0.3 0.3 0.29 0

0.1

0.2

0.3

0.4

0.5

0.6

Total Time (s) This graph uses data from Tables #4, #5, and #6, which uses information from Tables #1, #2, and #3, to graph the Speed Per Period as a function of Total Time for a puck travelling uniformly on an air table....