An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is given in spherical coordinates by the equations r = b = wt 0 = 0-1 π 1+ cos(4wt) 4 Find the speed of the ant as a function of the time t. What sort of path is represented by the above equations? [10]

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...
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An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is
given in spherical coordinates by the equations
r = b
= wt
0 =
0-1
π
1+ cos(4wt)
4
Find the speed of the ant as a function of the time t. What sort of path is represented by
the above equations?
[10]
Transcribed Image Text:An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is given in spherical coordinates by the equations r = b = wt 0 = 0-1 π 1+ cos(4wt) 4 Find the speed of the ant as a function of the time t. What sort of path is represented by the above equations? [10]
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