A fluid moves through a tube of length 1 meter and radius r=0.007±0.00025 meters under a pressure p=5⋅105±1000 pascals, at a rate v=0.75⋅10−9 m3 per unit time. Use differentials to estimate the maximum error in the viscosity η given by
η=π/8*(pr4)/v.

Question

A fluid moves through a tube of length 1 meter and radius r=0.007±0.00025 meters under a pressure p=5⋅105±1000 pascals, at a rate v=0.75⋅10−9 m3 per unit time. Use differentials to estimate the maximum error in the viscosity η given by
η=π/8*(pr4)/v.

anonymous · Answer

Is there any error associated with the velocity?

anonymous · Answer

No

anonymous · Answer

OK, then if you are to do it using differentials, take the partial derivatives of η with respect to p and to r.

anonymous · Answer

Ok thanks