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hw 101

# hw 101 - MAE 101A:Introductory Fluid Mechanics Homework 1...

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MAE 101A:Introductory Fluid Mechanics Homework 1 Due Friday January 15, 5:00 PM Problem 1 A number of common substances are Tar, “Silly Putty”, Modeling clay, Wax, Sand, Jello, Toothpaste and Shaving cream. Some of these materials exhibit characteristics of both solids and fluid behavior under different conditions. Explain and give examples. Problem 2 Very small particles moving in fluids are known to experience a drag force proportional to speed. Consider a particle of net weight W dropped in a fluid. The particle experiences a drag force, F D = kV , where V is the particle speed. Determine the time required for the particle to accelerate from rest to 95 percent of its terminal speed, V t , in terms of k , W , and g . Problem 3 In Chapter 9 we will study aerodynamics and learn that the drag force F D on a body is given by: F D = 1 2 ρV 2 AC D Hence the drag depends on speed V , fluid density ρ , and the body size (indicated by frontal area A ) and shape (indicated by drag coefficient C D ). What are the dimensions of C D ?

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