vector quantities lab

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University of New Orleans *

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1033

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Physics

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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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