A horizontal pipe line carries water in a streamline flow. At a point along the pipe where the cross sectiona area is `10cm^(2)`, the velocity of water is 1m/s and the pressure is 2000Pa. 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 Bernoull.s equation
`P_(1)+1/2rhoV_(1)^(2)=P_(2)+1/2rhoV_(2)^(2)` ( `:.` horizontal pipe)
`2000+1/2 10^(3)(1)^(2)=P_(2)+1/2(10^(3))(2^(2))`
`:.P_(2)=500Pa`