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and the level reaches the height h, the buoyancy force on the float opens the plug.

(a) Find h (a symbolic formula). Clearly show all steps. Find the numerical value for h if

L = 10 cm, d = 10 cm, D = 20 cm, W = 3 kg and p = 1000 kg/m³.

(b) As soon as the plug opens, it is observed that the plug-float assembly jumps upwards

and attains a floating position. Briefly explain why? Determine the level in the reservoir

when the plug closes again (find symbolic expression first, and then a numeric value).

Can the plug diameter (d) be larger than the float diameter (D) for the level controller

to work? Briefly explain why or why not.

Fig: 1