GATE CE 2019 Set 2 — Question 22
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Water Resources Engineering → Fluid Properties & Statics → Fluid Pressure
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Question
A solid sphere of radius, , and made of material with density, , is moving through the atmosphere (constant pressure, ) with a velocity, . The net force ONLY due to atmospheric pressure () acting on the sphere at any time, , is
Correct answer
(D) zero
Solution
The net force due to pressure on a closed surface is given by the surface integral . If the pressure is constant over the entire surface, . By the divergence theorem, . Thus, the net force due to constant atmospheric pressure on a sphere is zero.
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