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

Explanation

According to equation of continuity `A_(1)V_(1)=A_(2)V_(2), V_(2)=10//5xx1=2m//s`
Now, according to Bernoulli.s equation,
`P_(1)+(1)/(2)rhoV_(1)^(2)=P_(2)+(1)/(2)rhoV_(2)^(2)" "(because" horizontal pipe")`
`2000+(1)/(2)10^(3)(1)^(2)=P_(2)+(1)/(2)(10^(3))(2^(2))therefore P_(2)=500Pa`