4 Problem Consider two cars A and B moving at constant speeds VA = 60 kph and vB = 80 kph. Car A is traveling along a circular road that has radius r = 300 meters and is at an angle of 0 = 45 deg relative to car B. Car B is traveling westbound along a straight line. A VA UB A B Determine a symbolic expression for (a) the relative velocity vector vA/B using the unit vectors of a polar reference frame defined at point B, (b) the angular rate è, and (c) the radial rate r. Numerically evaluate your expressions for è and r. (Hint: Begin by expression both VA/O and VB/O in terms of polar frame unit vectors.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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4 Problem
Consider two cars A and B moving at constant speeds VA = 60 kph and VB = 80 kph. Car A is
traveling along a circular road that has radius r = 300 meters and is at an angle of 0 = 45 deg
relative to car B. Car B is traveling westbound along a straight line.
A
VA
r
UB A
B
Determine a symbolic expression for (a) the relative velocity vector A/B using the unit vectors
of a polar reference frame defined at point B, (b) the angular rate è, and (c) the radial rate r.
Numerically evaluate your expressions for and r. (Hint: Begin by expression both VA/O and
VB/O in terms of polar frame unit vectors.)
Transcribed Image Text:4 Problem Consider two cars A and B moving at constant speeds VA = 60 kph and VB = 80 kph. Car A is traveling along a circular road that has radius r = 300 meters and is at an angle of 0 = 45 deg relative to car B. Car B is traveling westbound along a straight line. A VA r UB A B Determine a symbolic expression for (a) the relative velocity vector A/B using the unit vectors of a polar reference frame defined at point B, (b) the angular rate è, and (c) the radial rate r. Numerically evaluate your expressions for and r. (Hint: Begin by expression both VA/O and VB/O in terms of polar frame unit vectors.)
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