How do you determine angle phi in spherical coordinates?

Click For Summary
To determine the angle phi in spherical coordinates for integration, it's essential to establish a suitable range based on the specific problem context. The angle phi typically represents the azimuthal angle, which can vary depending on the geometry of the situation. Understanding the relationship between spherical coordinates and Cartesian coordinates aids in accurately defining phi. Additionally, visualizing the problem can help in determining the appropriate limits for phi. Properly defining phi is crucial for successful integration in spherical coordinates.
Chandasouk
Messages
163
Reaction score
0
In general, how do I determine the angle phi when you have to use spherical coordinates for integration?
 
Physics news on Phys.org
Erm... you have to decide on a range that makes sense for the problem.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

  • · Replies 7 ·
Replies
7
Views
1K
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
33
Views
4K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K