To simulate the thermal characteristics of disk brakes (see the following figure), D.A

Chapter 4, Problem 4.4.24

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To simulate the thermal characteristics of disk brakes (see the following figure), D.A. Secrist and R.W. Hornbeck [SH] needed to approximate numerically the area averaged lining temperature, T , of the brake pad from the equation T = r0 re T (r)rp dr r0 re rp dr where re represents the radius at which the pad-disk contact begins, r0 represents the outside radius of the pad-disk contact, p represents the angle subtended by the sector brake pads, and T (r) is the temperature at each point of the pad, obtained numerically from analyzing the heat equation (see Section 12.2). Suppose re = 0.308 ft, r0 = 0.478 ft, p = 0.7051 radians, and the temperatures given in the following table have been calculated at the various points on the disk. Approximate T .

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