__________________________________________________| M 43. |X-02 | 2/29/16| 1/2 PROBLEM STATEMENT AREA AVERAGED LINING TEMPERATURE OF BRAKE PADS In order to simulate the thermal characteristics of disk brakes D. A. Secrist and R. W. Hornbeck needed to approximate numerically the area averaged lining temperature, T, from the equation: r0 T T (r )r dr r dr p re r0 re p 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 sector brake pads, and T(r) is the temperature at each point of the pad, obtained numerically from analyzing the heat equation . If re=.308 ft. r0 =.478 ft. and p= .7051 radians, and the temperatures given in the following table have been calculated at the various points on the disk, answer the following questions: 1. Find an approximation for T at r = .315 ft. 2. Find an approximation for T at r = .380 ft. 3. Find an approximation for T at r = .455 ft. INPUT 1. re=.308 ft. 2. r0 =.478 ft. 3. rp= .7051 radians r (feet) T(r)(F) /usr/share/prizm/cache/WorkfileCache/s5SYtzCea6SGNJreMmFmFw/WorkfileContents.doc Page 1 of 2 gvk __________________________________________________| M .308 .325 |X-02 | 2/29/16| 2/2 640 794 .342 .359 .376 .393 .410 .427 .444 .461 43. 885 943 1034 1064 1114 1152 1204 1222 Report 1. (page one): Difference Table 2. (page 2, 3, 4): Case #: r = x.xxx using 3rd order NGF u = 1 u = 2 u = 3 u = 4 error = f(x.xxx ) = Note: Error is the fourth term of the NGF /usr/share/prizm/cache/WorkfileCache/s5SYtzCea6SGNJreMmFmFw/WorkfileContents.doc Page 2 of 2 gvk