Suppose that the density of seawater, ( = ((z), varies with the depth below the surface. (a)
Question:
(a) Show that the hydrostatic pressure is governed by the differential equation
dp/dz = ((z)g
Where is the acceleration due to gravity. Let P0 and (0be the pressure and density at z = 0 Express the pressure at depth z as an integral.
(b) Suppose the density of seawater at depth is given by ( = (0ez/H, where is a positive constant. Find the total force, expressed as an integral, exerted on a vertical circular porthole of radius whose center is located at a distance L > r below the surface.
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a Choose a vertical xaxis pointing downward with its origin at the surface In or...View the full answer
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