vector quantities lab
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Apr 3, 2024
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docx
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Lab 1 Vector Quantities
Caylee Fields
Brandon Howe
PHYS-1033-P001 General Physics Laboratory
22 January 2024
Abstract
In this experiment, the main goal was to be able to successfully add vectors, graphically, analytically, and experimentally. Although not in person for this lab, the goal for this lab was achieved at home, with the use of a protractor and a ruler to correctly display the vectors.
Theory
Give me the background to understand the results. Remember your lab on vectors. You went over Analytical and Graphical methods of adding vectors. What are these and how are they done? This is pretty much a condense and summarized version of the theory section of your lab manual
Vectors can be defined as a quantity that obtains both magnitude and direction, but is more formally, a useful description for things such as acceleration, velocity, speed, etc. The use of graphically adding when talking about vectors allows for the visualization of the direction and
allows for a comfortable understanding of direction. Adding graphically as the first step is essential to grasp an understanding of the concept, and also a way to double-check as you go. Adding vectors analytically involves the use of trigonometric functions to evaluate and determine the resultant. To add vectors, we take A, the magnitude of the vector, and plug it into the following equation:
A
x
=
Acos
(
θ
)
A
y
=
Asin
(
θ
)
Where θ
(theta) is the angle the vector creates. We then would repeat the same steps with vector B.
B
x
=
B
cos
(
θ
)
B
y
=
B
sin
(
θ
)
After achieving the values for both A and B, and so on dependent on the amount of
vectors given, the results from all equations are plugged into the following equation to solve for
R, the resultant of the two vectors.
R
x
=
A
x
+
B
x
R
y
=
A
y
+
B
y
R
=
√
¿¿
tan
−
1
(
R
y
R
x
)
Where tan
−
1
is the tangent inverse of R
y
R
x
. Results
Table 1 - Graphical, Analytical, and Experimental Addition Data
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Builders
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Directions for
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Student Name
as2022@student.hudson.k12.1
Version 2
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Ay
Magnitude of A
Angle of -A
Set
Set
la
1b
1c
Set
1d
2a
2b
2c
2d
3a
3b
3c
3d
4a
4b
4c
4d
5a
5b
ба
Ax
6b
Ax
30
37
-45
-50
|Axl
85
100
-54
-90
32
-26
Ayl
32
-42
-25
48
Ay
-95
98
-74
83
42
200
124
121
139
-21
Magnitude of A
62
62
Magnitude of A
72
Angle of A
64
347⁰
84⁰
157⁰
212°
25°
283⁰
139⁰
262⁰
265⁰
70⁰
324⁰
103⁰
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JgiJI
O calculationlab.com...
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Force Completion This test can be saved and resumed later.
* Question Completion Status:
A Moving to another question will save this response.
Question 2
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Hint: 0 = tan-(Ry/Rx)
A Moving to another question will save this response.
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1.5 m
B
Vo
A
65°
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X- component
(units)
Y- component Magnitude Direction
(units)
Vectors
Graph
(units)
-2.0
3.0
Resultant
1.5
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