I\'m having a hard time with this one figuring out which equations to use where,

Question

I'm having a hard time with this one figuring out which equations to use where, even though the answers are given. If someone could provide an outline on how to solve this problem, that would be much appreciated!

A hose of inside diameter 1 cm and length 15 meters carries water from the faucet at a house out to the garden. Assume the garden and the house are at the same height. a) If the pressure at the garden side of the hose is atmospheric, and the pressure at the house side is 8 lb/in2 above atmospheric, and the flow of water through the pipes leading up to the faucet at the house causes negligible pressure decrease (i.e., only the flow through the hose causes pressure decrease), what is the volume flow of water per time through the hose? b) If the garden were located up a hill of vertical height 2.2 meters, what would the volume flow of water per time be?

The answers are a) 9.0 x 10-4 m3/sec = 0.90 liters/sec; b) 0.55 liters/sec. Thanks in advance!!

Explanation / Answer

a) see we know

Force = Pressure* Area   

P*A = mass* acceleration

P*A = rho * A * v* t * v/t

which gives

v = sqrt ( P/ rho )

and V per time = A* v

which will lead us to the answer

B) in second case net pressure will be = P- h* rho * g

then the new V = A* sqrt(( P-h*rho*g) /rho)

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