An ideal fluid of density 800kgm-3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to a2. The pressure difference between the wide and narrow sections of pipe is 4100 Pa. At wider section, the velocity of fluid is x6ms1 for x =________. (Given g = 10 ms-2)

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8 months ago

ρ=800kg/m3

P1 – P2 = 4100 Pa

Bernoulli's question b/w (1) & (2)

P1ρg+v122g+z1=P2ρg+v222g+z2

P1P2ρg+v122g+1=v222g+0 -(1)

Equation of continuity

A1v1 = A2v2

v2 = 2v1-(2)

from (1) & (2)

P1P2ρg+v122g+1=(2v1)22g

4100800*10+v122g+1=4v122g

121008000=3v122g

v12=2*103*121008000

=23*1218

x = 363

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