Mathematics · Fluid Mechanics

An ideal fluid of density 800 kg/m3 flows smoothly through a bent pipe where the height difference between the wide and narrow sections is 1 m. The pipe tapers in cross-sectional area from 'a' to 'a/2'. The pressure difference between the wide and narrow sections of the pipe is 4100 Pa. At the wider section, the velocity of the fluid is √x6 m/s. Find the value of x. (Given g = 10 m/s2)