Ahorizontal tube consists of a 7.0-cm-diameter pipe that narrows to a 2.0-cm-diameter throat. in the pipe, the water pressure is twice atmospheric pressure and the water flows with a speed of 0.40 m/s. what is the pressure in the throat, assuming that the water behaves like an ideal fluid? the density of water is 1000 kg/m3 , and atmospheric pressure is 1.01 × 105 pa.

Explanation:

= diameter of the pipe = 7 cm

= speed of water in the pipe = 0.40 m/s

= Area of cross-section of pipe =

= diameter of the throat = 2 cm

= speed of water in the throat

= Area of cross-section of throat =

Using equation of continuity

= atmospheric pressure = 1.01 x 10⁵ Pa

= Pressure in the pipe = = 2.02 x 10⁵ Pa

= Pressure in the throat

Using Bernoulli's theorem

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