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Q.

Water is flowing smoothly through a closed pipe system. At one point the speed of water is 3m/s, while at another point 1m high the speed is 4m/s. If the pressure is 20kPa at the lower point. What is the pressure at the upper point.

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a

6.5kPa

b

$5.6 k P a$

c

4.2kPa

d

8kPa

answer is D.

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Detailed Solution

$p_{1} + \frac{1}{2} ρ v_{1}^{2} + ρ g h_{1} = p_{2} + \frac{1}{2} ρ v_{2}^{2} + ρ g h_{2} 20 \times 10^{3} + \frac{1}{2} 10^{3} \times 9 + 0 = P_{2} + \frac{1}{2} 10^{3} 16 + 10^{3} \times 10 \times 1 P_{2} = (20 + 4.5 - 8 - 10) 10^{3} P a \Rightarrow P_{2} = 6.5 K p a$

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