Mathematical Modelling of Filling of Circular Water Tank
- Lew W.S.
A circular water tank of radius 5m and length of 25m is being filled with water at the constant rate of 2 m3/s. The depth of water in the tank, h (in m) is to be plotted against the time t (in s). This applet shows the plot of h vs t.
Move point B in order to see the change in the water depth and the corresponding time taken. Higher Order Task : Can you describe how the applet works? (Hint : Answer the series of questions) (a) What geometrical variable(s) does moving the point B change directly in the above applet ? (b) Is the shaded(filled) cross sectional area of the tank dependent directly on time or other geometrical values eg value(s) in (a) above? (c) Is the time independently changing, or is it calculated from the geometrical variables? Or is/are the geometrical variables changing because of time in this applet?