A tube of length l and radius R carries a steady flow of fluid whose density is p and viscosity r1. The fluid flow velocity depends on the distance r from the axis of the tube as v = vo (i – 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.