Consider the liquid-level system shown in Figure 7.3.3.

Chapter , Problem 7.70

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Consider the liquid-level system shown in Figure 7.3.3. Suppose that the height h is controlled by using a relay to switch the flow rate \(q_{m i}\) between the values 0 and 50 kg/s. The flow rate is switched on when the height is less than 4.5 m and is switched off when the height reaches 5.5 m. Create a Simulink model for this application using the values \(A=2 \mathrm{~m}^{2}, R=4001 /(\mathrm{m} \cdot \mathrm{s})\), \(\rho=1000 \mathrm{~kg} / \mathrm{m}^{3}\), and h(0) = 1 m. Obtain a plot of h(t).

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