A stratified layer of oil on water is placed between parallel plates. The plates are separated by

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A stratified layer of oil on water is placed between parallel plates. The plates are separated by a distance of \(1 \mathrm{~cm}\) and the oil layer is \(0.4 \mathrm{~cm}\) thick. The water has a viscosity of \(0.001 \mathrm{~Pa} \cdot \mathrm{s}\) and the oil a viscosity of \(0.04 \mathrm{~Pa} \cdot \mathrm{s}\). If the upper plate is to move at a velocity of \(1 \mathrm{~m} / \mathrm{s}\) relative to the lower one, what is the shear stress within the fluids and the velocity at the oil/water interface?

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