If all pipelines are round and of the same elevation as the question suggests, then point B's gauge pressure is 11.5 KPa.
Distance above water level is known as elevation. Elevations are often expressed in feet or meters. On charts, they can be represented by contour lines that link points of the same elevation, by colours, or by numbers that indicate the precise elevations of specific places on the Planet's surface.
From continuity equation:
Velocity of water at B = (2*pi*3²)/[2*pi*1²] =9 m/s
then from Bernoulli equation;
v² /2 + φ + p/ρ =constant
ρ=1000 kg/m³
3²/2 +φ +50000/1000 = 9²/2 +φ +P/1000
Therefore,
Pressure at B = 11.5 KPa
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The complete question is-
The 3.0 cm-diameter water line in the figure splits into two 1.0 cm-diameter pipes. All pipes are circular and at the same elevation. At point A, the water speed is 2.0 m/s and the gauge pressure is 50 kPa.
What is the gauge pressure at point B?
