# Experimental Errors

**Topics:**Elementary mathematics, Measurement, Acceleration

**Pages:**2 (312 words)

**Published:**April 27, 2012

Section: ___________________

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|0|0|

0.5|1.0|1.4|1.1|1.4|1.5|1.3|.2|.25|

0.75|2.6|3.2|2.8|2.5|3.1|2.8|.3|.56|

1.0|4.8|4.4|5.1|4.7|4.8|4.8|.3|1|

1.25|8.2|7.9|7.5|8.1|7.4|7.8|.4|1.56|

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 1:

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 1:

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 :

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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