# PK 1 Experimental Errors and Uncertainty RPT

Experimental Errors and Uncertainty

Data:

The data table that follows shows data taken in a free-fall experiment.

Measurements were made of the distance of fall (Y) at each of the four precisely measured times.

Time, t (s)

Dist, y1 (m)

Dist, y2 (m)

Dist, y3 (m)

Dist, y4 (m)

Dist, y5 (m)

σ

t2

0

0

0

0

0

0

0.5

1.0

1.4

1.1

1.4

1.5

0.75

2.6

3.2

2.8

2.5

3.1

1.0

4.8

4.4

5.1

4.7

4.8

1.25

8.2

7.9

7.5

8.1

7.4

Procedures

From the above data perform the following Tasks.

Task 1. Complete the table.

Results 1:

Task 2. Plot a graph versus t (plot t on the abscissa, i.e., x-axis). Results 2:

Task 3. Plot a graph versus t2 (plot t2 on the abscissa, i.e., x-axis). The equation of motion for an object in free fall starting from rest is y = ½ gt2, where g is the acceleration due to gravity. This is the equation of a parabola, which has the general form y = ax2. Results 3:

Task 4. Determine the slope of the line and compute an experimental value of g from the slope value. Remember, the slope of this graph represents ½ g. Results 4:

Task 5. Compute the percent error of the experimental value of g determined from the graph in part d. (Accepted value of g = 9.8 m/s2) Results 5:

Task 6. Use a spreadsheet to perform the calculations and plot the graphs indicated. Results 6: The spreadsheet with calculations graphs is attached as a separate attachment.

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