A fluid moves through a tube of length 1 meter and radius r=0.002±0.00015
r=0.002±0.00015
meters under a pressure p=3⋅10 5 ±2000
p=3⋅105±2000
pascals, at a rate v=0.5⋅10 - 9
v=0.5⋅10-9
m 3
m3
per unit time. Use differentials to estimate the maximum error in the viscosity η
η
given by
η=π8 pr 4 v.
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