Water is moving with a speed of 4.7 m/s through a pipe with a cross-sectional ar

Question

Water is moving with a speed of 4.7 m/s through a pipe with a cross-sectional area of 4.3 cm2. The water gradually descends 7 m as the pipe increases in area to 8.2 cm2. (a) What is the speed at the lower level? 2.46m/s (b) If the pressure at the upper level is 2.0x10^5Pa, what is the pressure at the lower level in Pa? I got the answer to part A, but I'm having trouble with b. Please show work. Thanks

Explanation / Answer

Water flux: v1*S1 = v2*S2 -> v2 = 5.3*4.3/8.9 = 2.56 m/s Bernoulli: P1 + d*g*h1 + (1/2)d*v1^2 = P2 * d*g*h2 + (1/2)d*v2^2 -> P2 = P1 + d*g*H + (1/2)*d(v1^2-v2^2) -> P2 = 2.0*10^5 + 10^3*9.8*12 + 0.5*10^3*(5.3^2-2.56^2)= 3.3*10^5 Pa

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