EXPERIMENT 1: Experimental Errors and Uncertainty
Objective: To gain an understanding of experimental errors and uncertainty.
Name of author: Matthew Martin
Date and time experiment was performed: 03/02/2011 12:00pm
Course Name/Number: PHYS-171-DL1
Equipment and Material used:
Pen and pencils Paper, plain and graph
Computer and spreadsheet program
No LabPaq supplies are required for this experiment.
Data: The data table (Lab Manual, p. 55) that follows shows data taken in a free-fall experiment. Measurements were made of the distance of the 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
0.2
0.25
0.75
2.6
3.2
2.8
2.5
3.1
2.8
0.3
0.56
1.0
4.8
4.4
5.1
4.7
4.8
4.8
0.3
1.0
1.25
8.2
7.9
7.5
8.1
7.4
7.8
0.4
1.56
Procedures:
From the above data perform the following Tasks.
Task 1. Complete the table.
Results 1: In the table we have the values of four precisely measured times – t(s) and for each of them we have five measured quantities of the distance of the fall – y(m). When measurement is repeated several times we need to measure the mean and the standard deviation in order to record the data most accurately. The mean is the central value, the average of all recorded measurements. We calculate it according to the formula:
=1/N.(y1+y2+……+yn-1 +yn)
N is the number of measured values, which in our case is equal to 5. When the time is equal to 0.5 seconds, we calculate according to the formula:
=1/5(1.0+1.4+1.1+1.4+1.5) =6.4/5 =1.3
Applying the same rule we calculate all the values of for each of the measured times and complete the column of the table above. The standard deviation is the spread of deviation of the measured values about the mean. It is presented with