With reference to the figure for Prob. 30, the manometer contains water as the manometer fluid and is attached to a tank that is empty and open to the atmosphere. When the tank is stationary, the...

With reference to the figure for Prob. 30, the manometer contains water as the manometer fluid and is attached to a tank that is empty and open to the atmosphere. When the tank is stationary, the water level is the same in both legs of the manometer. If the entire system is rotated about the centerline of the tank at a rate of N (rpm):

(a) What happens to the water levels in the legs of the manometer?

(b) Derive an equation for the difference in elevation of the levels (h) in the legs of the manometer as a function of known quantities.