hw1bsol-dist

# hw1bsol-dist - Solutions CBE 320 Introductory Transport...

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CBE 320 September 3, 2010 Introductory Transport Phenomena Problem Session I Part B: Review of Mathematical Topics Review Appendices A and C in Transport Phenomena before doing this assignment. 1. Sketch the following functions; be sure to label the axes carefully. a. y ( x )= cosh bx cosh b , −∞ <x< ,b = constant b. y ( x e bx , −∞ = constant c. y ( x tanh x x , −∞ d. v z ( r v 0 ± 1 ² r R ³ 2 ´ , 0 r R, v 0 ,R = constant e. v z ( r v 0 ln( r/R ) ln κ R r R, v 0 ,R,κ = constant , 0 <κ< 1 2. A particle is located at x =4 , y =2 , z =1 in Cartesian (rectangular) coordinates. a. What are the cylindrical coordinates of the particle ( r, θ, z ) ? b. What are the spherical coordinates of the particle ( r, θ, φ ) ? 3. A particle, located at x , y , z =0 , is moving in a Northeasterly direction with speed 8 cm/sec (“North” = direction of the + y -axis; “East” = direction of the + x -axis). By means of a carefully labelled sketch, show the vector v (assume one unit in distance is numerically equal to one cm/sec). Then show the Cartesian components v x and v y ,aswel lasthe

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## This note was uploaded on 09/23/2010 for the course CBE 310 taught by Professor Idk during the Spring '10 term at Wisconsin.

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hw1bsol-dist - Solutions CBE 320 Introductory Transport...

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