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Q3 a) Give a brief outline of how a physical process is examined so as to develo

ID: 3349225 • Letter: Q

Question

Q3 a) Give a brief outline of how a physical process is examined so as to develop a 8 Marks] relationship between its inputs and its outputs b) A tank of volume 100 1 has flowing into it: i) Hot water, at a constant flow rate of 2 l/min and a temperature of Th (t) and; ii Cold water, at a constant flow rate of 3 I/min and a temperature of 15C Water flows from the tanks at a temperature of T(t). Develop the mathematical model of the process as described and show the relationship between (t) and Th(t). Obtain the Transfer Functionand calculate the gain and the time constant. You may assume that the water in the tank is perfectly T(s) T.(s mixed. 25 Marks]

Explanation / Answer

a.)

The scatter plot can be a useful tool in understanding the type of relationship that exist between the inputs (X’s) and the outputs (Y’s)

On the other hand a negative relationship is one where more of one input leads to less of another output. This is also known as an inverse relationship.