Rising of a liquid during rotataion in a cylinder

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SUMMARY

The discussion focuses on determining the rotational speed at which a liquid in a cylindrical container begins to spill. The container has a diameter of 25 cm and a height of 100 cm, filled with liquid to a height of 75 cm, with a density of 900 kg/m³. The relevant equations used include zs = h0 - ω² / 4g (R² - 2r²) and p = ρgh. The participants confirm the calculations related to the rotational speed and gauge pressure at the bottom of the tank when spilling occurs.

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Homework Statement


[/B]
A 25-cm-diameter, 100-cm-high cylindrical container, (as shown), is partially filled with 75-cm-high liquid (density = 900 kg/m3). Determine the rotational speed at which the liquid will start spilling. Calculate the gauge pressure at the centre of the bottom of the tank when the liquid starts spilling.
http://uupload.ir/files/7ipj_capture.png

Homework Equations



zs = h0 - ω2 / 4g ( R2 - 2r2)
p = ρgh

The Attempt at a Solution



http://uupload.ir/files/md0_29883624_1664433426984266_1728994950_o.jpg [/B]

If someone could please verify me answers, that would be great. In particular, I'm a bit concerned about my answer to the second part of the question.
Thanks
 
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Looks correct to me.
 

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