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A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk fit into a hollow hub. It is placed in a refrigerated chamber that is maintained at -33°C. The rate of change of temperature of of the solid steel shaft is given by do -5.33 x 10 (0+33) (-3.69 x 10-4+2.33 x 10 503 +1.35 x 10-30² +5.42 x 10-20+5.588) dt 0 = 27°C when t = 0 Using Euler's method, find the temperature of the solid steel shaft after 86400 seconds (1 day). Use step size h = 43200.

A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk fit into a hollow hub. It is placed in a refrigerated chamber that is maintained at -33°C. The rate of change of temperature of of the solid steel shaft is given by do -5.33 x 10 (0+33) (-3.69 x 10-4+2.33 x 10 503 +1.35 x 10-30² +5.42 x 10-20+5.588) dt 0 = 27°C when t = 0 Using Euler's method, find the temperature of the solid steel shaft after 86400 seconds (1 day). Use step size h = 43200.

Advanced Engineering Mathematics
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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A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk fit into a hollow hub. It is placed in a refrigerated chamber that is maintained at -33°C. The rate of change of temperature of of the solid steel shaft is given by do dt -5.33 x 10 (0+33) (-3.69 x 10-6+2.33 x 10 50³ +1.35 x 10-³0² +5.42 x 10-20 +5.588) 0 = 27°C when t = 0 Using Euler's method, find the temperature of the solid steel shaft after 86400 seconds (1 day). Use step size h = 43200.
Transcribed Image Text:A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk fit into a hollow hub. It is placed in a refrigerated chamber that is maintained at -33°C. The rate of change of temperature of of the solid steel shaft is given by do dt -5.33 x 10 (0+33) (-3.69 x 10-6+2.33 x 10 50³ +1.35 x 10-³0² +5.42 x 10-20 +5.588) 0 = 27°C when t = 0 Using Euler's method, find the temperature of the solid steel shaft after 86400 seconds (1 day). Use step size h = 43200.
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