A manometer with mercury as the manometer fluid is attached to the wall of a closed tank

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A manometer with mercury as the manometer fluid is attached to the wall of a closed tank containing water (see Figure P4.30). The entire system is rotating about the axis of the tank at $N$ rpm. The radius of the tank is $r_{1}$, the distances from the tank centerline to the manometer legs are $r_{2}$ and $r_{3}$ (as shown), and the manometer reading is $h$. If $N=30 \mathrm{rpm}, r_{1}=12 \mathrm{~cm}, r_{2}=15 \mathrm{~cm}$, $r_{3}=18 \mathrm{~cm}$, and $h=2 \mathrm{~cm}$, determine the gage pressure at the wall of the tank and also at the centerline at the level of the pressure tap on the tank.

image text in transcribed

FIGURE P4.30 Revolving manometer.

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