No. 2. NEWTON RAPHSON APPLICATION A trunnion has to be cooled before it is shrink fitted into a steel hub. The equation that gives the temperature to which the trunnion has to be cooled to obtain T, the desired contraction is given by: F(T.) = -5.060 × 1011 TP + 3.8292 x 10* T +7.4363 x 10° T, + 8.8318 x 10 = 0 Use the Newton Raphson method of finding roots of equations to find the temperature T, to which the trunnion has to be cooled. Conduct three iterations to estimate the root of the above equation begin with T, = -130"F. Find the absolute relative approximate error at the end of each iteration

No. 2. NEWTON RAPHSON APPLICATION A trunnion has to be cooled before it is shrink fitted into a steel hub. The equation that gives the temperature to which the trunnion has to be cooled to obtain T, the desired contraction is given by: F(T.) = -5.060 × 1011 TP + 3.8292 x 10* T +7.4363 x 10° T, + 8.8318 x 10 = 0 Use the Newton Raphson method of finding roots of equations to find the temperature T, to which the trunnion has to be cooled. Conduct three iterations to estimate the root of the above equation begin with T, = -130"F. Find the absolute relative approximate error at the end of each iteration

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Description: No. 2. NEWTON RAPHSON APPLICATIONA trunnion has to be cooled before it is shrink fitted into a steel hub.The equation that gives the temperature to which the trunnion has to becooled to obtain T, the desired contraction is given by:F(T,) = -5.060 x

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

No. 2. NEWTON RAPHSON APPLICATION
A trunnion has to be cooled before it is shrink fitted into a steel hub.
The equation that gives the temperature to which the trunnion has to be
cooled to obtain T, the desired contraction is given by:
F(T,) = -5.060 x 1011 Tf3 4 3.8292 x 10* T? 47.4363 x 10 T, + 8.8318 x 10 = 0
Use the Newton Raphson method of finding roots of equations to find the
temperature T, to which the trunnion has to be cooled. Conduct three
iterations to estimate the root of the above equation begin with T, = -130°F.
Find the absolute relative approximate error at the end of each iteration

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