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1. The mystery of the tangent and the radius fluid in spiral pipe on rotating disk

This is a sketch of a situation that I think has some similarities with my last example (which referred to a logarithmic spiral pipe). A fluid element flows along a curving, narrowing pipe. In order to maintain a constant velocity in the x direction, it has to accelerate with respect to the...
2. The mystery of the tangent and the radius fluid in spiral pipe on rotating disk

(Below, I've added one more case that may be easier to analyze -- skip ahead if you like.) Having thought about it a bit more, it does seem like the second section of pipe should follow the radial line BD (referring to the sketch I attached above), but I'm still on the fence, so to speak...
3. The mystery of the tangent and the radius fluid in spiral pipe on rotating disk

Thanks for the posts everyone, I have to read them carefully, but in the meantime I've attached a sketch and another description here: The fluid travels along the spiral pipe, which is fixed to the disk, which rotates at constant angular velocity in a clockwise direction. An observer in the...
4. The mystery of the tangent and the radius fluid in spiral pipe on rotating disk

Thanks for the feedback... It's true, when it accelerates, the fluid element does have to push against something. However, unless the fluid is accelerating while rounding an actual bend, this doesn't necessarily need to include the sidewalls of the pipe -- it could be the fluid behind it. E.g...
5. The mystery of the tangent and the radius fluid in spiral pipe on rotating disk

Here's something simple but also a bit puzzling, let me know if you have any ideas... For clarity, I'll describe three cases before asking the final question (skip ahead if you like). 1. Mounted on a disk are two curved fences, just a few centimetres apart from each other. Between the fences...
6. Centripetal accelerations with two parallel axes - the Scrambler

Thanks for the detailed description, that's great -- I'll take some time to digest it.
7. Centripetal accelerations with two parallel axes - the Scrambler

Thanks! Well, it's a bit over my head to try to figure out what function describes the position of the rider, so it sounds like I can just take the approach I described (basically, (1) ignoring the rotation around the minor axis in order to find the rider's acceleration around the major axis...
8. Centripetal accelerations with two parallel axes - the Scrambler

Is there another category in the forum where I should be posting this question instead?
9. Centripetal accelerations with two parallel axes - the Scrambler

Maybe someone can recommend an online reference that explains this kind of situation? (I.e., how to calculate the total centripetal acceleration of an object rotating around a centre of rotation, while that centre of rotation itself rotates around another centre of rotation -- both centres of...
10. Centripetal accelerations with two parallel axes - the Scrambler

Centripetal accelerations with two parallel axes -- the "Scrambler" Homework Statement This should be a pretty quick and straightforward question to answer. The problem regards centripetal forces on an object rotating simultaneously around two parallel axes, like in the "Scrambler" amusement...