Vector Equation Help: Solve Radial Acceleration

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SUMMARY

The discussion focuses on the mathematical concept of radial acceleration in vector equations. The user initially struggles with understanding a specific equation related to radial acceleration, realizing that they overlooked the differentiability of the term r12, which is crucial for deriving the correct expression. The distinction between unit vectors (denoted with an up-arrow) and normal vectors (indicated with arrows) is also emphasized, highlighting the importance of understanding vector notation in this context.

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  • Understanding of vector notation, including unit vectors and normal vectors.
  • Familiarity with the concept of radial acceleration in physics.
  • Knowledge of differentiation in calculus.
  • Basic grasp of mathematical equations involving vectors.
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  • Study the principles of radial acceleration in physics.
  • Learn about vector differentiation and its applications.
  • Review the properties of unit vectors and their significance in vector mathematics.
  • Explore advanced topics in vector calculus, such as gradient and divergence.
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Students and professionals in physics and engineering, particularly those working with vector mathematics and dynamics, will benefit from this discussion.

Jonnyb42
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I am reading a book, and I see the following mathematical statements:

[PLAIN]http://mynqa.com/Cargo/Untitled2.bmp
and I have worked it out and it makes sense.
Then another statement comes up, regarding the radial acceleration this time:
[PLAIN]http://mynqa.com/Cargo/Untitled.bmp
This second equation does not make sense to me, when I work it out myself, using the first equation which I had successfully worked out, I arrive at the right side but missing the term:
[PLAIN]http://mynqa.com/Cargo/term.bmp
where does this middle term come from?

I know I am not providing much information as to what the equation is expressing, that is because what I am asking is primarily mathematical. These are vectors. OH one thing to know however, in the book they define vectors with the up-arrow/hat as soley direction, (magnitude 1) and the vectors with arrows pointing to the side as normal vectors, and corresponding letters without anything overhead is magnitude.

Thanks for any help.
 
Last edited by a moderator:
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Well I found out why I wasn't getting that extra term, is it because I was foolishly considering r12 a constant, when it is differentiable.
 

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