What is the percentage error of viscosity if there are 2% error in radius of a capillary
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SA = 4πr2
(Δr / r) = 2 / 100
Δr = 2r / 100
dA / dr = 8πr
dA = 8πr (dr)
ΔA = 8πr (dr) = 8πr (2r / 100) = 16πr2 / 100
% = (ΔA / A) * 100 = {[16πr2 / 100] / [4πr2]} * 100
= 16 / 4
= 4%
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