MHB What is the Formula for Calculating Acceleration in Different Cases?

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To calculate acceleration in different cases, the local acceleration can be determined using the formula a_local = ∂v/∂t, where v is the velocity field. The acceleration due to transport is given by a_transport = v · ∇v, which accounts for the change in velocity along a path. The total acceleration combines both local and transport components, expressed as a_total = a_local + a_transport. Understanding these formulas is essential for analyzing fluid dynamics at a specific time, such as t=0. Utilizing educational resources, like instructional videos, can further clarify these concepts.
mathmari
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Hey! :o

We were given a velocity field and we have to calculate the vector field of the local acceleration, the acceleration because of the transport and the total acceleration at the time $t=0$.

Could you tell me the formula at each case?? (Wondering)
 
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mathmari said:
Hey! :o

We were given a velocity field and we have to calculate the vector field of the local acceleration, the acceleration because of the transport and the total acceleration at the time $t=0$.

Could you tell me the formula at each case?? (Wondering)

Hi mathmari,

I have limited knowledge about this subject, but I think the following video will help you in this question.

​
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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