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Jun 14, 2017 at 14:50 comment added John Alexiou Look at a point on a rotating disk (with constant rotational speed). The velocity under the fixed location remains constant, even though each mass particle is under centripetal acceleration. The spatial acceleration is simply $\psi = \dot{\omega} \times r = 0$ whereas the material acceleration is $a = \dot{\omega} \times r + \omega \times \omega \times r \neq 0 $
Jun 14, 2017 at 14:48 comment added John Alexiou Spatial acceleration is the partial with respect to time. If you held a magnifying glass over a fixed point in space, the spatial acceleration is the acceleration of whatever material happens to be visible in the lens. In fluids steady flow has zero spatial acceleration because at any point the velocity is fixed.
Jun 14, 2017 at 14:45 comment added Rishabh Jain thanks for your reply.I sought of understand your reply. Basically,material acceleration is the total derivative whereas spatial derivative is partial derivative with respect to space.In a normal circulation motion.you will get the spatial acceleration by removing the centripetal force. Am i coreect? Also,can you suggest some link,video or books for additional in depth knowledge?@ja72
Jun 14, 2017 at 13:26 history edited John Alexiou CC BY-SA 3.0
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Jun 14, 2017 at 13:06 history answered John Alexiou CC BY-SA 3.0