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 10-6(0+33) (−3.69 × 10¯64 +2.33 × 10-50³ +1.35 × 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.
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 10-6(0+33) (−3.69 × 10¯64 +2.33 × 10-50³ +1.35 × 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.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 × 10¯6(0+33) (−3.69 × 10¯6² +2.33 × 10-50³ + 1.35 × 10-³0² +5.42 × 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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