Question

The water supply of a buidling is fed through a main pipe 6.0 cm in diameter. A person on the 2nd floor uses a 2.00 cm diameter faucet to fill a 25 L container in 90 seconds. The faucet is 8.00 m above the main line. a) What is the speed at which the water leaves the faucet? b) What is the pressure in the main pipe? (the pressure at the faucet is 1.0 atm)

Answer 1

mass flow rate in faucet is

Q= V./t

So,

Q=Av

so,velocity at faucet is

v=0.88 m/s

B) Pressure in main pipe can be determined by bernalli theoram

so, main line is scene 2 and faucet is scene1

so,

rho is water density = 1000kg/m^3

so,

V2= 0.098 m/s

P1=1 atm =10^5 Pa

so putting allvalues we get