Question: A spherical tank has a circular orifice in its bottom through which the liquid flows out as shown in Figure 2.1. The new depth, hnew

A spherical tank has a circular orifice in its bottom through which the liquid flows out as shown in Figure 2.1. The new depth, hnew of liquid in the tank that changes with a step size of time, ts can be estimated by the following equation: hnew = hold CA/2ghold redhold - Thold - where hold = previous or initial liquid depth (m), d = diameter tank (m), C = an empirically derived coefficient, A = the area of the orifice (m), g = the gravitational constant (= 9.81 m/s2). A MATLAB user-define function has been developed to estimate how long it will take for the liquid to completely flow out of the tank. Figure 2.2 shows the expected programming output for a 3-m diameter tank with 7.068 x 104 mof orifice, C = 0.55, ts = 6 seconds and initial liquid depth of 1.5 m. Synthesis a complete script in Figure 2.3 with the correct MATLAB commands. h Figure 2.1 A spherical tank
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