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A horizontal pipe line carries water in a streamline flow. At a point along the pipe where the cross-sectional area is 10 `cm^(2)` the velocity of water is 1 m/s and the pressure is 2000 Pa. What is the pressure at another section where the cross-sectional area is 5 `cm^(2)` ?

Text Solution

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According to equation of continuity `A_(1)V_(1)=A_(2)V_(2),V_(2)=10//5xx1=2m//s`
Now according to Bernouli,s equation ,`P_(1)+(1)/(2)rhoV_(1)^(2)=P_(2)+(1)/(2)rhoV_(2)^(2)` (horixonatial pipe)
`2000+(1)/(2)10^(3)(I)^(2)=O_(2)+(1)/(2)(10^(3))(2^(3)) therefore P_(2)=500 pa`
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