# Physics Lab 1 Vectors EK.docx - The University of Nebraska...

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The University of Nebraska at OmahaDepartment of PhysicsLab 1 – Vectors & Measurements6/3/2020PHYS 1154-202Eugene Kim
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3.Data/Data Analysis MeasurementsWooden BlocksLengths xiDeviations, xi(xi)212.34 cm0.010.000112.33 cm0012.29 cm-0.040.001612.34 cm0.010.000112.35 cm0.020.0004Average ():12.33 cmStd. deviation: (0.0001 + 0 + 0.0016 + 0.0001 + 0.0004)/4 = 0.00055, √(0.00055) = 0.02345 cmσ = 12.33 ± 0.023 cmWooden BlocksMasses xiDeviations, xi(xi)250.00 g0.0050.00002549.99 g-0.0050.00002550.01 g0.0150.00022549.98 g-0.0150.000225Average ():49.995 gStd. deviation: (0.000025 + 0.000025 + 0.0002250 + 0.000225)/3 = 0.0001667, √(0.0001667) = 0.01291 gσ = 49.995 ± 0.01291 g
4.Vector ArithmeticVector A, y Component sample calculation: Ay= 17.2sin(36.0°) = 10.1 mVectorx Componenty ComponentA13.9 m10.1 mB-18.3 m17.7 mC9.66 m-2.59 mResultant (D = A + B + C)5.26 m25.2 mMagnitude |D|= √(5.262+25.22) = 25.7 mtan θ = 25.2 m / 5.21 mθ = arctan(25.2 / 5.21) = 78.3° north of +x-axisVectorx Componenty ComponentA13.9 m10.1 mB-18.3 m17.7 mResultant (C = A B)32.2 m-7.6 mMagnitude |C|= √(32.22+7.62) = 33.1 mtan θ = 7.6 m / 32.2 mθ