A fluid moves through a tube of length 1 meter and radius $r = 0.006 \pm 0.00015$ meters under a pressure $p = 4 \cdot 10^5 \pm 1000$ pascals, at a rate $v = 0.375 \cdot 10^{-9}$ m$^3$ per unit time. Use differentials to estimate the maximum error in the viscosity $\eta$ given by $\eta = \frac{\pi}{8} \frac{pr^4}{v}$. maximum error $\approx$
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The viscosity of a fluid is given by the equation: η = (pR^2t)/(4Vl) where η is the viscosity, p is the pressure, R is the radius of the tube, t is the time, V is the volume of fluid passing through the tube, and l is the length of the tube. Show more…
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