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A tube of length l and radius R carries a steady flow of fluid whose density is ρ and viscosity η. The fluid flow velocity depends on the distance r from the axis of the tube as v = v0 (1 - r2/R2). Find: (a) the volume of the fluid flowing across the section of the tube per unit time; (b) the kinetic energy of the fluid within the tube's volume; (c) the friction force exerted on the tube by the fluid; (d) the pressure difference at the ends of the tube. |
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