Question

Q6. Error Analysis: Suppose that we determine F by measuring m,r,ro, and I, for the experimental setup shown in Fig. 1.1. - C To do this, we use the formula: F - mgri – ro) = mgr1 . (1.4) If m = m + Am, ro = ro + Aro,r1 = t1 = Arı, and l = 7 + Al, show that the fractional uncertainty, F., in the calculated Fc can be expressed as: FC = |(97) + comode #camos? + () [Hint: Substitute variables from Eq. (1.4) into Eq. (A.21) in Section 6 of Appendix A, execute the partial derivatives, divide both sides by Eq. (1.4), and rearrange to match desired expression.]

Answer 1

Crivena f. mg (94,-46.) - (1) m= ñ tom, 8407 Tot 1%, 91, ,+s4, letoe As ben equation (A.21) 5 To account for the propagation of om, A,,1946, Al. r of aridt 26. +OF 2/ 2910 AF.- Catanism) + C am) +(above) potom je hoe om die gange mange the en magyar, shu s sf - Cerises, amb = (** am)" + Canony" +(moet hy uga = As per Hint Divide equation 2 by equation 1 hecho

T/CA3+ ( +3.5+ Cel) [C]; confery regy) “一个字) 90) (1) - Ho] Bm)+ban.), (1,-ne)? proved