Rotating water with oil - Centrifugal force for each liquid
Conclusion: Density of each liquid does not affect the result.
For mathematical proof, apply Euler’s formulas for a random point in each liquid:
∂P/∂r= ρ * ω^2 * r
∂P/∂z= -ρ g
As a conclusion:
z1 = H1 - ω^2*R^2/4g ω^2*r^2/2g
z2 = H2 - ω^2*R^2/4g ω^2*r^2/2g
**P = Pressure
r = radius of random point
ρ = density
ω = angle of random point
z = distance from the bottom for each random point
H = volume of each liquid
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