# How bout some switch draining oscillations.

A cylindrical tank of horizontal section ares $$S=25cm^{2}$$ has a hole in its bottom. The hole is closed by a thin metal plate A of area $$S_{A}=5cm^{2}$$ connected with a thin rod of length $$l=10cm$$ to a cylindrical float B of horizantal cross section area $$S_{B}=10cm^{2}$$The plate rod float assembly works as a special valve . This plate rod float assembly works as a special valve. Now a tap is opened and water starts entering at a constant rate $$r=10\frac{cc}{s}$$ When the water level in the container reaches a particular height, The assembly lifts opening the hole through which water drains out at a rate$$\eta=1.5r$$ This operation operates periodically denoting mass of the assembly by $$m=100g$$ and density of water by $$\rho_{o}=1g/cm^{3}$$ .Find the time interval $$\tau$$ in minutes between closing and subsequent opening of the hole. Neglect the force created by water flow and the atmospheric pressure.

×