stumped on a lab question some direction please? Suppose a = 11.5 mm and b = 11.3 mm with an error of + or - .5 mm in each measurement. Find the errors involved when these measurements are used to compute: (a) a-b, (b) a/b thanks Solution a = 11.5mm, b = 11.3mm da = 0.5mm, db = 0.5mm a)z = a-b =>dz = sqrt(da^2+db^2) = 0.7071mm b)z = a/b =>(dz/z) = sqrt((da/a)^2 + (db/b)^2) = 0.06203 =>dz = 0.06203z = 0.06203a/b = 0.0631mm.

1. stumped on a lab question some direction please? Suppose a = 11.5 mm and b = 11.3 mm with
an error of + or - .5 mm in each measurement. Find the errors involved when these
measurements are used to compute: (a) a-b, (b) a/b thanks
Solution
a = 11.5mm, b = 11.3mm da = 0.5mm, db = 0.5mm a)z = a-b =>dz =
sqrt(da^2+db^2) = 0.7071mm b)z = a/b =>(dz/z) = sqrt((da/a)^2 + (db/b)^2) = 0.06203 =>dz =
0.06203z = 0.06203a/b = 0.0631mm