A water tank shaped as a cone (R = 2 m, H = 4 m) has a circular hole at the bottom (d = 18mm), as shown. According to Torricelli’s law, the speed v of the water that is discharging from the hole is given by:
where h is the height of the water and g= 9.81 m/s2. The rate at which the height, h, of the water in the tank changes as the water flows out through the hole is given by:
Solve the differential equation for h. The initial height of the water is h= 3 m. Solve the problem for different times and find an estimate for the time when h = 0.1 m. Make a plot of h as a
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Chapter 9 Solutions
MATLAB: AN INTRODUCTION WITH APPLICATIO
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