Consider a cylindrical container of inner radius R = 25 cm containing liquid wat

Question

Consider a cylindrical container of inner radius R = 25 cm containing liquid water. a) The container is initially sealed, with an absolute pressure at the free surface of Po 7. 30 kPa. What is the absolute pressure at the bottom of the water inside the container? b) The container is then opened to air at an absolute pressure of 100 kPa, and rotated about its centerline at a constant angular speed The water inside the container rotates with the container as a rigid body. Euler's equations can be used to show that the equation for the free surface of the water in the rotating container is: Use these equations to derive the radial pressure gradient op / ôr in the water.

Explanation / Answer

7.(a) Answer:

According to the question,

The container is sealed.

Radius,R=25 cm

Absolute pressure of the surface,Po=30kPa

Absoulate,gauge and vacuum pressure are related to each other by-

Pgage=Pabs - Patm

Pvac=Patm - Pabs

We know that Patm=101.325 kPa

Pabs=Patm-Pvac=101.325-30=71.325 kPa

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