I need only Table 3 which is the Error please with an explanation please thank y
ID: 1869568 • Letter: I
Question
I need only Table 3 which is the Error please with an explanation please
thank you
TABLE 2 IS GIVEN SEPARATELY MAKE SURE YOU HAVE THE SAME ANGLES YOu u THE PREVIOUS LAB REPORT Concl ogon Table 3: Error calculations (First enter both results: graphical and analytical) Analytic results (known) Graphical results (experimental) Error Set 1 | |A + F21 = %error of + F21 = %error of = %error of fg + F1 %error of %error of IFe + F. + F,I- %error of 1 + Pal SHOW ALL YOU CALCULATIONS (EACH STEP AND THE NUMBERS YOU PLUGGED IN THE CALCULATOR) NEEDED FOR TABLES 2 AND 3 IN THE CALCULATION SECTIONExplanation / Answer
Addition of vectors
F1 = 1.96 N at an angle theta = 30 degrees,
F2 = 3.92 N at an angle theta = 145 degrees
writing the force in component form
F1 = F1x i + F1y j = F1 cos theta i + F1 sin theta j
F1 = 1.96 cos 30 i + 1.96 sin 30 j
F1 = 16.974 N i + 0.98 N j
F2 = F2x i + F2y j = F2 cos theta i + F2 sin theta j
F2 = 3.92 cos 145 i + 3.92 sin 145 j
F2 = -3.21 N i + 2.25 N j
now adding the same components we get
F = Fx i + Fy j
F = (F1x+F2x) i + (F1y+F2y) j
F = (16.974-3.21) i +(0.98+2.25) j
F 13.764 N i + 3.23 N j
now the magnitude is
F = sqrt(Fx^2+Fy^2)
F = sqrt(13.764^2+3.23^2) N
F = 14.14 N
the direction is tan theta = Fy/Fx
theta = arc tan (Fy/Fx)
theta = arc tan (3.23/13.764)
theta = 13.21 degrees from X axis