Suppose that the density of seawater, ( = ((z), varies with the depth below the surface. (a)

Question:

Suppose that the density of seawater, ( = ((z), varies with the depth below the surface.
(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.
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: