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Q2 The rate of heat transfer of a body can be express as: dT -k(T – Ta) dt where T= temperature of the body (°C), Ta = temperature of the surrounding medium (°C) and k = proportionality constant (min"). If a metal ball is heated to 90°C and dropped into water that is held at constant value of Ta = 20°C, use Euler's Method to compute the ball's temperature after 140 seconds if k = 0.25 min -'. Assume a step size of h = 20 seconds.

Q2 The rate of heat transfer of a body can be express as: dT -k(T – Ta) dt where T= temperature of the body (°C), Ta = temperature of the surrounding medium (°C) and k = proportionality constant (min"). If a metal ball is heated to 90°C and dropped into water that is held at constant value of Ta = 20°C, use Euler's Method to compute the ball's temperature after 140 seconds if k = 0.25 min -'. Assume a step size of h = 20 seconds.

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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Q2 The rate of heat transfer of a body can be express as: dT -k(T – Ta) dt where T = temperature of the body (°C), Ta = temperature of the surrounding medium (°C) and k = proportionality constant (min'). If a metal ball is heated to 90°C and dropped into water that is held at constant value of Ta = 20°C, use Euler's Method to compute the ball's temperature after 140 seconds if k = 0.25 min '. Assume a step size of h = 20 seconds.
Transcribed Image Text:Q2 The rate of heat transfer of a body can be express as: dT -k(T – Ta) dt where T = temperature of the body (°C), Ta = temperature of the surrounding medium (°C) and k = proportionality constant (min'). If a metal ball is heated to 90°C and dropped into water that is held at constant value of Ta = 20°C, use Euler's Method to compute the ball's temperature after 140 seconds if k = 0.25 min '. Assume a step size of h = 20 seconds.
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