Experimental Errors and Uncertainty

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) <y> 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 <y> versus t (plot t on the abscissa, i.e., x-axis).

Results 1:

 

Task 3. Plot a graph <y> 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.

Last Updated on February 11, 2019 by Essay Pro