Laplace operator in spherical coordinates

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The discussion revolves around the confusion regarding the labeling of images related to the Laplace operator in spherical coordinates. Participants emphasize the importance of clear labeling to avoid misunderstandings. A link to the Wikipedia page on the topic is provided as a resource for clarification. There is also a note about the readability of images, specifically advising against posting them sideways. Clear communication and proper formatting are highlighted as essential for effective discussion.
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Homework Statement
Hello, I had to calculate ∆r and ∆Theta,phi. Is the answer on the second picture correct?
Relevant Equations
∆r, ∆Theta,phi
AF8CF310-EAA1-49D5-849E-36C87E749D71.jpeg
36C3B8DA-8751-43C9-8175-DFC4BDC35448.png
 
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If have close pipe system with water inside pressurized at P1= 200 000Pa absolute, density 1000kg/m3, wider pipe diameter=2cm, contraction pipe diameter=1.49cm, that is contraction area ratio A1/A2=1.8 a) If water is stationary(pump OFF) and if I drill a hole anywhere at pipe, water will leak out, because pressure(200kPa) inside is higher than atmospheric pressure (101 325Pa). b)If I turn on pump and water start flowing with with v1=10m/s in A1 wider section, from Bernoulli equation I...

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