Student Exercises

1:Find the time-domain solution for the output of a first-order process, with an input sine wave of magnitude A at frequency ω.
2:The peak day length (in terms of hours of daylight) occurs on 21 June, while the peak average daily temperature occurs on 21 July (30 days later). Assuming that the relationship between daylight hours and average daily temperature can be modeled by a first-order transfer function, estimate the time constant of Earth's weather system (provide the units). Also, what are the units of the “process gain”?
3:Apply the Ziegler-Nichols method to a second-order + dead time process

where kp = 1.5°F/gpm, θ = 5 ...

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