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Calculate the distance between these two points (sphr. and cyl. coordinates) 
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#1
Nov2011, 12:05 AM

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1. The problem statement, all variables and given/known data
Calculate the distance between these two points: (3;π/2;−1) and (5;3π/2;5) (cylindrical coordinates) (10;π/4;3π/4) and (5;π/6;7π/4) (spherical coordinates) Do I need to put them in cartesian coordinates and continue the calc. or can I do with integrals? 2. Relevant equations >dl = dr ûr + r d∅ û∅ + dz ^k >dl = dr ûr + r dθ ûθ + r sin (∅) û∅ 3. The attempt at a solution 


#2
Nov2011, 01:11 AM

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It's likely easier in Cartesian coordinates . But for the first one, what is the distance from (3, π/2) to (5, 3π/2) in polar coordinates? 


#3
Nov2011, 10:31 AM

P: 3

Thanks, but can anyone provide me with a sample in sph.c. or cyl.c.?
Re: (2, π) 


#4
Nov2011, 03:39 PM

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Calculate the distance between these two points (sphr. and cyl. coordinates)
No. The distance from (3, π/2) to (5, 3π/2) is 8.
Therefore, the distance (horizontal) from (3, π/2, 1) to (5, 3π/2, 1) is 8 units. Of course the distance from (5, 3π/2, 1) to (5, 3π/2, 5) is 6 units. These two distances are perpendicular to each other. 


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