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In the manufacturing of ball bearings, the components, such as the ball, are hardened through a process of heating and then rapid cooling or "quenching" by submersion in an oil or water bath. The temperature of the ball as a function of time, T(t), in the bath may be estimated as:
T(t) = (T; - ToJe-tlt + T~
where t is the time in seconds in the bath; T; is the initial ball temperature; T~ is the oil temperature; and t is the time constant in seconds and depends upon the material of the ball, the geometry of the ball, and oil properties. Write a MATLAB function that utilizes T;; T~; t ; and three separate times, t, as input arguments and returns the ball temperature for the three times as a one-dimensional array.
Assuming an initial ball temperature of 1000°C, an oil temperature of 60°C, and the time contant t = 60 s, determine the ball temperature for times of 1, l O, and 100 seconds.
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Solution by using pdepe function functionpdex1 m = 0; x = linspace(0,1,100); t = linspace(0,0.2,10); sol = pdepe(m,@pdex1pde,@pdex1ic,@pdex1bc,x,t); % Ext
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Your functions will allow you to create the following graph, which contains a piecewise function where a line exists in the first interval, a parabola in the second interval, and t
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Perform the convolution of following sequences (a) x[n] = [1 2 3], N1 = 1 and h[n] = [1 - 1], N2 = 1 (b) x[n] = [1 2 3], N1 = 2 and h[n] = [1 - 1], N2 = 1 (c) x[n] = [1 2 3], N1 =
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Problem: Consider a trapezoidal piece of polymer film as shown below. The parallel sides of the trapezoid are insulated and the temperature of the bottom and diagonal sides are f
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