A U-tube open at both ends to atmospheric pressure P0 is filled with an incompressible fluid of density ρ . The cross-sectional area A of the tube is uniform and the total length of the column of fluid is L . A piston is used to depress the height of the liquid column on one side by a distance x0 , and then is quickly removed. What is the frequency of the ensuing simple harmonic motion? Assume streamline flow and no drag at the walls of the U-tube. (Hint: use conservation of energy). Express your answer in terms of L and acceleration due to gravity g (enter L for L and g for g).
f=
1 answer
f = 1/(2*pi)*sqrt((2*g)/L)