Forces and Vector - Lab 3 PDF

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Summary

Lab 3...

Description

Force and Vectors Lab9/16/19

Hapshepsut Jackson, Lettia Spruill, and Donazhia Everett.

Theory/Introduction

DATA AND RESULTS The results of our experiment seem to be very accurate the given the values of the percent error and absolute percent calculated. The experimental, graphical and analytical values were almost all the same value. Data Table 1:

Force

Mass (kg)

Force (N)

Direction

F1

0.100

0.98

20.0

F2

0.200

1.96

90.0

.260

2.55

248

Equilibrant FE1 1

Resultant FR 1

.250

2.473

68.135

Analytical Data 1: Anayltical Solution Force

Mass (kg)

Force(N)

F1

0.100

0.982

F2

0.200

1.96

Resultant

.250

2.48

Direction

20.08 90.08 68.2

Xcomponen t

Ycomponen t

0.921

0.335

0

1.96

0.921

2.30

Graphical Solution 1:

Graphical Solution Force

Mass (kg)

Force (N)

F1

0.100

.982

F2 Resultant

2

0.200 .255

1.96 2.48

Direction 20.0 90.0

68.0

Part 1. Error Calculations Percent Error magnitude Experimental compared to Analytical =__0____% Percent Error magnitude Graphical compared to Analytical = ___2____ % Absolute Error in angle Experimental compared to Analytical =___0____ degrees Absolute Error in angle Graphical compared to Analytical = _____.135__degrees

Data Table 2:

Force

Mass (kg)

Force (N)

Direction

F3

0.150

1.47

30.0

F4

0.200

1.96

100.0

F5

0.100

.981

145.0

.340

3.33

265.0

.328

3.23

87.7

Equilibrant FE1 Resultant FR 1

Analytical Data 2: Analytical Solution Force

Mass (kg)

Force(N)

Direction

X component

F3

0.150

1.47

30.0

1.27

3

Y component 0.735

F4

0.200

1.96

100.0

0.340

1.93

F5

0.100

0.981

145.0

0.803

0.562

.129

3.225

Resultant

.328

3.22

87.7

Graphical Solution 2:

Graphical Solution Force

Mass (kg)

Force (N)

Direction

F3

0.150

1.47

30.0

F4

0.200

1.96

100.0

F5

0.100

0.98

145.0

Resultant

0.33

3.30

87.0

Part 2. Error Calculations Percent Error magnitude Experimental compared to Analytical =__0____% Percent Error magnitude Graphical compared to Analytical = ____.609___ % Absolute Error in angle Experimental compared to Analytical =____0___ degrees Absolute Error in angle Graphical compared to Analytical = ____.7___degrees

CONCLUSION 4

We were able to figure out the resultant vector by vector addition with two applied forces. The percent error magnitude experimental compared to was analytical = 0 for both sets of data suggesting that our calculations were very accurate. Absolute error in angle experimental compared too analytical = 0 degrees also emphasizing the accuracy of our calculations. We did not encounter any know errors our results seemed to be very accurate. In terms of challenges, the graphical method was a bit tricky to understand initially but once it was completely understood it was easy to achieve the graphical solution. The purpose of this lab was to gain experience working with vector calculations. The overall accomplishment of this experiment was that we proved that both two and three 2-dimensional vectors can be added accurately; experimentally using a force table; analytically using equations, and graphically using graphical analysis.

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