Problem 1 The side of a tank presents a protrusion having the shape of a half sphere having radius R=0.25m and centre located at point C (see figure below). The tank is filled with air and water (specific weight y = 9806 N/m³ ) whose fre surface is at the same elevation as C. The gage pressure of the air inside the tank is n= 32 Kpa. Determine: Air a) the hydrostatic force (magnitude and line of action) that the air exerts on the quarter of the sphere. Water R b) The total hydrostatic force (magnitude and line of action) that both fluids exert on the half sphere. (the volume of a sphere of radius R can be computed as TR3).

Problem 1 The side of a tank presents a protrusion having the shape of a half sphere having radius R=0.25m and centre located at point C (see figure below). The tank is filled with air and water (specific weight y = 9806 N/m³ ) whose fre surface is at the same elevation as C. The gage pressure of the air inside the tank is n= 32 Kpa. Determine: Air a) the hydrostatic force (magnitude and line of action) that the air exerts on the quarter of the sphere. Water R b) The total hydrostatic force (magnitude and line of action) that both fluids exert on the half sphere. (the volume of a sphere of radius R can be computed as TR3).

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.121P: One side of the container has a 03-m square door that is hinged at its top edge. If the container is...

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