Matblab/Numerical analysis
ccruz7105
The temperature T of a small copper sphere cooling in air is measured as a function of time t to yield the following:
t(s) | 0.2 | 0.6 | 1.0 | 1.8 | 2.0 | 3.0 | 5.0 | 6,0 | 8.0 |
T(C) | 146.0 | 129.5 | 114.8 | 90.3 | 85.1 | 63.0 | 34.6 | 25.6 | 14.1 |
An exponential temperature decrease is expected from theoretical considerations. Using linear regression, obtain the exponent c and the constant C, where T=Ce^(-ct) represents the variation. Also, solve this problem using the polyfit function in MATLAB.
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