State the time required to drain the tank to a level

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Reference no: EM13182131

A spherical water tank of radius R=4m is emptied through a small circular hole of radius r=.02m at the bottom. The top of the tank is open to the atmosphere. The instaneous water level h in the tank can be determined from the solution of the following ODE:

dh/dt=(-r^2*sqrt(2gh))/(2hR-h^2)

where g=9.8m/s^2. If the intial (t=0) water level is h=6.5m, find the time required to drain the tank to a level of h=.5m.

b) use one of MATLAB's built in functions for solving an ODE

Reference no: EM13182131

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State the time required to drain the tank to a level : A spherical water tank of radius R=4m is emptied through a small circular hole of radius r=.02m at the bottom. The top of the tank is open to the atmosphere. The instaneous water level h in the tank can be determined from the solution of the follo..

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