Mathematics

Jimmy Ibarra

16 September, 23:31

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.