Integration of tabulated data. To simulate thermal properties of a brake system, see the fihure below, an average temperature of the breaking block is needed. This average temperature is given by
Where T(r) is tge temperature at distance r from the brake center . We know that 9.38cm and = 14.58 cm. T(r) is given for some values of r in the table below. The data were obtained by numerical solution of the heat equation.
r(cm) T(r) (*C)
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9.38 338
9.90 423
10.42 474
10.94 506
11.46 557
11.98 573
12.50 601
13.02 622
13.54 651
14.06 661
14.58 671
Use these values to find an approxiamtion of the average temperature T.