An oil gusher shoots crude oil 25.0 m into the air through a pipe with a 0.100-m diameter. neglecting air resistance but not the resistance of the pipe, and assuming laminar flow, calculate the gauge pressure at the entrance of the 50.0-m-long vertical pipe. take the density of the oil to be 900 kg/m3 and its viscosity to be 1.00 (n/m2 )⋅s (or 1.00 pa⋅s). note that you must take into account the pressure due to the 50.0-m column of oil in the pipe

3764.282 KPa

Explanation:

Given gusher shoots oil at h=25 m

i.e. the velocity of jet is

v=\sqrt{2gh}[/tex]

v=22.147 m/s

Now the pressure loss in pipe is given by hagen poiseuille equation

For  25 m head in terms of Pressure

Total Pressure==3543.557+220.725=3764.282 KPa

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