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Q 1 . ( 2 5 marks ) The dynamic behavior of the liquid level in each leg of a manometer tube, responding to a
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The dynamic behavior of the liquid level in each leg of a manometer tube, responding to a change in pressure, is given by:
The output is the level of fluid measured with respect to the initial steadystate value, the output is the pressure change in the manometer. and are constants.
a What order is the TF of this system? Why? marks
b Find all the parameters of that TF gain time constant and damping coefficient marks
c For what values of the damping coefficient does the height oscillate? Why? I marks
d If density of the fluid increases, would the height oscillate more or less? Why? marks
e If the viscosity of the fluid increases, would the height oscillate more or less? Why? marks
For the last parts, please indicate in a rough plot, as to how the response to a step input of this underdamped system will change when the density increases all other parameters constant and viscosity increases all other parameters constant in separate cases.
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