Suppose the density field of a one-dimensional continuum is p = exp[cos(t - x)] and the velocity field is v = sin(t-x). 1. What is the flux of material past z = 0 as a function of time? 2. How much material passes in the time interval [0,/2] through the points (a) r = 0, (b) z = π/2, (c) = -1/2? What does the sign of your answer (positive/negative) mean?
Suppose the density field of a one-dimensional continuum is p = exp[cos(t - x)] and the velocity field is v = sin(t-x). 1. What is the flux of material past z = 0 as a function of time? 2. How much material passes in the time interval [0,/2] through the points (a) r = 0, (b) z = π/2, (c) = -1/2? What does the sign of your answer (positive/negative) mean?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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