# A horizontal pipe line carries water in a streamline flow. At a point along the pipe where the cross-sectional area is 10cm^2…

Q: A horizontal pipe line carries water in a streamline flow. At a point along the pipe where the cross-sectional area is 10 cm2, the velocity of water is 1 m/s and the pressure is 2000 Pa. What is the pressure at another point where the cross-sectional area is 5 cm2.

$\large P_1 + \frac{1}{2}\rho v_1^2 = P_2 + \frac{1}{2}\rho v_2^2$ (∵ horizontal pipe)
$\large 2000 + \frac{1}{2}\times 10^3 \times 1^2 = P_2 + \frac{1}{2}\times 10^3 \times 2^2$