hw1bsol-dist

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

This preview shows pages 1–8. Sign up to view the full content.

CBE 320 September 2, 2009 Introductory Transport Phenomena Problem Session I Part B: Review of Mathematical Topics 1. Sketch the following functions; be sure to label the axes carefully. a. y ( x )= tanh bx tanh b , −∞ <x< ,b = constant b. y ( x cxe bx , −∞ , c = constant c. y ( x sinh x x , −∞ d. v z ( y v 0 ± y h ² y h ³ 2 ´ , 0 y h, v 0 ,h = constant e. v z ( r v 0 ln( R/r ) ln(1 ) 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 =1, 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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 05/06/2010 for the course CBE 320 taught by Professor Staff during the Fall '08 term at University of Wisconsin.

### Page1 / 8

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

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online