A fireman standing on a 6.5 m high ladder operates a water hose with a round nozzle of
diameter 3.08 inch. The lower end of the hose
(6.5 m below the nozzle) is connected to the
pump outlet of diameter 4.51 inch. The gauge
pressure of the water at the pump is
P
(gauge)
pump = P
(abs)
pump − Patm
= 41.2 PSI = 284.064 kPa .
Calculate the speed of the water jet emerging from the nozzle. Assume that water is an
incompressible liquid of density 1000 kg/m3
and negligible viscosity. The acceleration of
gravity is 9.8 m/s
2
.
Answer in units of m/s.