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# assign04 - SYSC 3600 Assignment#4 1 Recall the beer can of...

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SYSC 3600 – Assignment #4 1/. Recall the beer can of assignment 1. The defining equation for this system is A P B P B T c dh h d U T c dh h d U T + = + + ρ 2 4 2 4 where T B is the temperature of the beer and T A is the ambient temperature (a) Hopefully you will recognize that this is a first order system. Assuming the values given below, what are the time constant and the static gain of the system? U = 0.027716982 kJ/sec m 2 ”C h = 11.5 cm d = 6 cm ρ = 998.5 kg/m 3 c p = 4.20 kJ/kg ”C (b) Suppose that at some time ( t = 0) the beer is removed from a 3”C fridge (where it has been for a long time) and placed in a room that is at 17”C. The response of any system after t = 0 depends entirely upon its state at t = 0 (the cumulative effect of the input before t = 0) and the input after t = 0. In our case the overall response of the system will

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assign04 - SYSC 3600 Assignment#4 1 Recall the beer can of...

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