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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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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
Transcribed Image Text: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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