Calculating Flux of a Vector Field

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The discussion revolves around calculating the flux of a vector field, with a user seeking assistance on the problem presented in an image link. The user expresses uncertainty about how to approach the solution and requests help. A suggestion is made to start with the definition of flux as a foundational step. The conversation highlights the importance of understanding the concept of flux in vector fields for solving related homework problems. Clarifying the definition and applying it to the specific problem is essential for finding the solution.
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try starting with the definition of flux
 
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?

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