assignment10

# assignment10 - PHYS122 2010W Assignment 10 Due 17:00...

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Unformatted text preview: PHYS122 2010W Assignment 10 Due: 17:00 Thursday 2010-04-01 PHYS122 Assignment 10 UW User ID:- Your UW User ID is not the same as your Student Number. Surname: Given Name: 1. Consider a metal sphere of radius r , drag coefficient C , and density ρ s falling in a fluid with density ρ and viscosity η . (a) (1) Draw the free body diagram of the sphere. Choose down as the positive direction. (b) (1) What is the acceleration, ˙ v 1 , of the sphere? Assume that the flow of the fluid around the sphere is laminar. FBD ˙ v 1 = (c) (2) Show that your result from (b) has the solution v 1 ( t ) = a 1 (1- e- b 1 t ) and find the constants a 1 and b 1 . a 1 = b 1 = (d) (1) As the sphere accelerates the drag force increases until the net force is zero. What is the speed of the sphere, v t1 , when this occurs? v t1 Page 1 of 4 PHYS122 Assignment 10 UW User ID:- Your UW User ID is not the same as your Student Number....
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assignment10 - PHYS122 2010W Assignment 10 Due 17:00...

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