Question

Water is moving with a speed of 4.6 m/s through a pipe with a cross-sectional area of 3.5 cm2. The water gradually descends 8 m as the pipe increases in area to 8.3 cm2.

(a) What is the speed at the lower level? m/s

(b) If the pressure at the upper level is 1.7 ✕ 105 Pa, what is the pressure at the lower level? Pa

please show work and answer

Answer 1

the speed of flow v1=4.6m/s at area A1=3.5cm2

a)the speed of flow v2 at area A2=83cm2 according to the equation of continuity which follows law of conservation of mass

then speed of flow

  

b)if first end at the height h1=8m and acceleration due to gravity g=9.8m/s2

pressure at first end = and the density of water

according to Bernoullis equation which follows law of conservation of energy

  

the pressure P2 at other end at h2=0 then

the pressure at other end