10.4. example. a long straight pipe of length l has a slowly tapering circular cross section. it is inclined so that its axis makes and angle a to the horizonta

10.4. Example. A long straight pipe of length L has a slowly tapering circular cross section. It is inclined so that its axis makes and angle a to the horizontal with its smaller cross-section downwards. The radius of the pipe at its upper end is twice that of at its lower end and water is pumped at a steady rate through the pipe to emerge at atmospheric pressure. It the pumping pressure is twice the atmospheric pressure, show that the fluid leaves the pipe with a speed U give by where II is atmospheric pressure