I need detailed problem-solving process?and how to do this type of problem
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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:
T (r )r 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 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
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.
1. re=.308 ft.
2. r0 =.478 ft.
3. rp= .7051 radians
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1. (page one): Difference Table
2. (page 2, 3, 4):
Case #: r = x.xxx using 3rd order NGF
f(x.xxx ) =
Note: Error is the fourth term of the NGF
Page 2 of 2
This question was answered on: Dec 18, 2020
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