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
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: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 1. Assume a step size of h = 20 seconds.
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