Free Fall

Topics: Vernier scale, Measurement, Metrology Pages: 3 (403 words) Published: October 19, 2014
Measurements and Error Analysis, #1, Chris Baca
Discussion of differences
The purpose of this experiment is to understand why we have variances in measurements and how to reduce the variances. When taking a measurement there are multiple factors that affect its value. The more the measurement is taken the measurements average is closer to the actual value. Other factors include the instruments calibration, cleanliness of the inside of the measuring arms and human error in reading the measurements off of the measuring devices. For this experiment, we followed the procedures as indicated in the lab manual. Data

Copper Rod Measurements
Trial
1
2
3
4
Length (m)
0.601
0.6
0.601
0.6
Diameter (caliper-m)
0.0006
0.00065
0.0006
0.0006
Diameter (Vernier-m)
0.0006315
0.0006325
0.000633
0.0006325
Mass (kg)
0.16875
0.16875
0.16865
0.1688
Figure 1. Copper rod measurements

Trial
5
6
7
8
9
10
Length (m)
0.6
0.601
0.6
0.6
0.6
0.601
Diameter (caliper-m)
0.00065
0.0006
0.00059
0.0006
0.0006
0.00059
Diameter (Vernier-m))
0.000634
0.000637
0.000637
0.000638
0.000636
0.000637
Mass (kg)
0.16876
0.1687
0.16873
0.16875
0.16878
0.16876
Figure 2. Copper rod measurements continued
Equations
, ,

Calculations
Average and Standard Deviation of Copper Rod Measurements

Average
Standard Deviation
Length (m)
0.6004
0.022509257
Diameter (caliper-m)
0.00608
0.002392697
Diameter (Vernier Caliper-m)
0.0063485
.051639778
Mass (kg)
0.168743
0.042176876
Figure 3. Average values and the standard deviation of the 10 trials of measurements.

Density of Copper Rod

Caliper
Vernier Caliper
Average (kg/m³)
9.680282744
8.878773009
+ standard deviation
8.995958262
8.806850666
-standard deviation
10.44528428
9.54935451
Figure 4. Average Density of copper rod with both calipers with standard deviations.

Results/Comparison to Theory / Answers
The caliper...
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