Most towns use a water tower to store water and provide pressure in the pipes th

Question

Most towns use a water tower to store water and provide pressure in the pipes that deliver water to customers. The figure below shows a spherical water tank that holds 5.20 x 10 kg of water when full. Note that the tank is vented to the atmosphere at the top and that the pipe delivering water to customer Smith is a height h-2.50 m above the level of the pipe delivering water to customer Jones. Determine the gauge pressure of the water at the faucet of each house when the tank if full Vent Smith house 18.0 m Jones house Faucet Faucet (a) Jones house Pa (b) Smith house Pa

Explanation / Answer

Solution-

mass of water = volume x density

M= 4/3(pieR^3 )

R^3=3M/4pie*
M = 5.2 x 10^5 kg

= 1000 kg/m3

hence R = 6 m

the diameter of the tank = 12m

a) Gauge pressure at jones house P1 is

P1= g*18
=1000*9.8*(1+12)
=294000 N/m^2

b) the gauge pressure at smiths house P2 is

P2=  g(18)

=1000*9.8(18+12-2.50)

=269500 N/m^2

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