Please help me on this problem A large tank of water has a hose connected to it,

Question

Please help me on this problem

A large tank of water has a hose connected to it, as shown in the figure (Figure 1) The tank is sealed at the top and has compressed air between the water surface and the top. When the water height h has the value 3.50 m the absolute pressure p of the compressed air is What is the speed with which water flows out of the hose when h = 3.50 m? upsilon = 26.2 m/s as water flows out of the tank, h, decreases. Calculate the speed of flow for h.= 3.10 m. upsilon = 17.5 m/s

Explanation / Answer

a )

P2 = P1 X d1 / d2

P2 = 4.2 X 105 X ( 0.5 / 0.5 )

P2 = 4.2 X 105 Pa

V2 = ( 2 X ( 4.2 - 1 ) X 105+ g ( 3.5 - 1 ) )1/2

V = 26.2 m/sec

b )

V = ( 2 ( 1.01 -1 ) X105 + g ( 2.10 - 1 ) )1/2

V =17.5 m/sec

c )

v = 4.2 m/sec

d )

at h , V = 0

P = 4.2 X 105 X ) 0 - 5 / 4 - h

so h = 1.81 m

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