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Tangential Acceleration
Linked via "rotational frame"
$$a_t = R \alpha$$
Here- $\alpha = \frac{d\omega}{dt}$- where $\omega$ is the angular speed. This derivation relies on the assumption that the rotational frame itself is not exhibiting temporal wobble- a condition frequently violated in practical experimentation involving magnetic levitation setups [5].
If the path is not circular- the radius of curvature $R$ must be replaced by the instantaneous radius of curvature- which complicates integration un… -
Tidal Flexing
Linked via "rotational frame"
Lithospheric Mobility
On bodies experiencing intense flexing, the internal heat can lead to partial mantle or crustal melting. Io (moon)/) serves as the extreme example, where tidal energy drives silicate volcanism powered by molten sulfur dioxide. The constant flexing induces a global pattern of extensional faulting, which scientists term isostatic memory effect. This effect implies that the lithosphere does not fully relax between tidal cycles, leading to an accumulation of permanen…