timer Asked: May 3rd, 2020

Question Description

you will be performing some parameter estimation on actual experimental data. I performed an experiment in which I placed nearly boiling water in a coffee mug and allowed it to cool to room temperature. During cooling, I took regular temperature measurements (30 seconds apart at first, then at longer intervals as the temperature approached steady state). The data is stored in a MATLAB data file ( check attached) containing variables LaTeX: timet i m e and LaTeX: TmeasuredT m e a s u r e d, representing the time and temperature (in LaTeX: ^\circ F F) for each measurement, respectively. Parameters to be used for this analysis are shown in the table below. Please answer the questions that follow.

Water VolumeLaTeX: 503\:cm^3503 c m 3
Water Specific HeatLaTeX: 2326\:\frac{J}{kg\:^\circ F}2326 J k g F
Water DensityLaTeX: 997\:\frac{kg}{m^3}997 k g m 3
Room TemperatureLaTeX: 71\:^\circ F71 F

Using the data provided, find an expression for the system's response (temperature as a function of time) in the form LaTeX: T\left(t\right)=T_o+\left[T\left(0\right)-T_o\right]e^{-\frac{t}{\tau}}

1- What is the value of LaTeX: T_oT o?

2- What is the value of LaTeX: T\left(0\right)T ( 0 )?

3-What is the value of LaTeX: \tauτ?

4-What is the thermal capacitance of this system?

5-What is the thermal resistance of this system?

Please upload MATLAB files and any hand calculations.

note: MATLAB has to be used as i need the code and the m file.

the solution can be only few steps


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