Hydraulics and Fluid Mechanics in ME
The total pressure on the top of a closed cylindrical vessel of radius (r) completely filled up with liquid of specific weight (w) and rotating at (ω) rad/s about its vertical axis, is

π w ω² r²/4g
π w ω² r⁴/4g
π w ω² r²/2g
π w ω² r³/4g

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Hydraulics and Fluid Mechanics in ME
The discharge through a channel of trapezoidal section is maximum when

Depth of channel is equal to the width at the bottom
Width of channel at the top is equal to twice the width at the bottom
The sloping side is equal to the width at the bottom
The sloping side is equal to half the width at the top

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