Posted by hazel on Sunday, January 6, 2013 at 11:53am.
Firehouse or firehose?
How long is the hose?
They probably want you to neglect the pressure drop in the hose.
The average speed of the water in the hose ahead of the nozzle will be
v = 4.0 m/s*(4/9) = 16/9 m/s.
The continuity equation has been used.
Now use the Bernoulli equation.
P = Po + (rho)*g*H + (1/2)*(rho)*v^2
Rho is the density of water; g is the acceleration of gravity; H = 15 m. Po is atmospheric pressure.
What they really want is P - Po, the gauge pressure.
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