The SOLFIES company is dedicated to welding any type of metal, but especially aluminum parts. If the aluminum pieces that are welded come out at 1200°C and to speed up the cooling they are immersed in a tank full of water with a temperature of 0°C. In this case, the heat is transferred from the welded part to the water, causing the temperature to begin to decrease. Taking into account the temperature data of both the piece and the water, in addition to the value of the constant K= 0.02, it is necessary to know how long it takes for the piece to reach a temperature of 20°C in order to handle it and deliver it to the customer. MATH MODEL T'+KT=Tm SOLVED BY THE LAPLACE TRANSFORM METHOD
The SOLFIES company is dedicated to welding any type of metal, but especially aluminum parts. If the aluminum pieces that are welded come out at 1200°C and to speed up the cooling they are immersed in a tank full of water with a temperature of 0°C. In this case, the heat is transferred from the welded part to the water, causing the temperature to begin to decrease. Taking into account the temperature data of both the piece and the water, in addition to the value of the constant K= 0.02, it is necessary to know how long it takes for the piece to reach a temperature of 20°C in order to handle it and deliver it to the customer. MATH MODEL T'+KT=Tm SOLVED BY THE LAPLACE TRANSFORM METHOD
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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Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT
The SOLFIES company is dedicated to welding any type of
metal, but especially aluminum parts. If the aluminum pieces
that are welded come out at 1200°C and to speed up the
cooling they are immersed in a tank full of water with a
temperature of 0°C. In this case, the heat is transferred from
the welded part to the water, causing the temperature to
begin to decrease.
Taking into account the temperature data of both the piece
and the water, in addition to the value of the constant K=
0.02, it is necessary to know how long it takes for the piece to
reach a temperature of 20°C in order to handle it and deliver
it to the customer.
MATH MODEL
T'+KT=Tm
SOLVED BY THE LAPLACE TRANSFORM METHOD
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