Key FactsGyroscopic Couple: The rate of change of angular momentum () = (In the limit).
- = Moment of Inertia.
- = Angular velocity
- = Angular velocity of precession.
Blaise Pascal (1623-1662) was a French mathematician, physicist, inventor, writer and Catholic philosopher.
Leonhard Euler (1707-1783) was a pioneering Swiss mathematician and physicist.
Henry Philibert Gaspard Darcy (1803-1858) was a French engineer who made several important contributions to hydraulics.
OverviewConsider a tank, originally at rest and containing some liquid. We know that the liquid, at rest, maintains its surface level as shown in fig-1(a). Now let the tank move towards the right side with a uniform acceleration.
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- = Angle, which the liquid surface makes with the horizontal, and
- = Horizontal acceleration of the tank
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- P1 = Hydrostatic pressure on the back side of the tank, and
- P2 = Hydrostatic pressure on the front side of the tank
Example - Fluid masses subjected to horizontal acceleration
- = 3 m
- = 2.5 m
- = 1.25 m
- = 1.5 m/s2