- #1

NTesla

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- Homework Statement
- In Kleppner and Kolenkow's book: An Introduction to Mechanics, on page 34 (pasted below) on the topic titled "Acceleration in Polar coordinates", it has been mentioned that: "when ##r## and ##\theta## both change, then Coriolis acceleration acts which is ##real## and is "##In## ## contrast ##" to the Coriolis force which acts in a rotating frame of reference. "

What I'm trying to understand is that:

(1) If we are analyzing the situation using polar coordinate system, then if ##r## and ##\theta## both are changing, then Coriolis acceleration that acts (which by the way is real according to Kleppner and Kolenkow), is this Coriolis acceleration different from the Coriolis acceleration that would come into play due to Coriolis force, if we analyse the same situation from a rotating frame of reference ?

(2) Can Coriolis acceleration (real one) and Coriolis acceleration (due to Coriolis force when seen from rotating frame of reference) act simultaneously at a moving body(whose ##r## and ##\theta## both are changing with time), if we observe from a rotating frame of reference using polar coordinate system ?

- Relevant Equations
- $$\overrightarrow{a} = (\ddot{r}-\dot{\theta}^{2}r)\hat{r}+(\ddot{\theta}r+2\dot{r}\dot{\theta})\hat{\theta}$$