Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is. KM(t)-T(t)). where K is a constant. Let K=0.04 (min) and the temperature of the medium be constant, M(t) = 290 kelvins. If the body is initially at 358 kelvins, use Euler's method with h=0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes. (a) The temperature of the body after 30 minutes is kelvins. (Round to two decimal places as needed.)
Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is. KM(t)-T(t)). where K is a constant. Let K=0.04 (min) and the temperature of the medium be constant, M(t) = 290 kelvins. If the body is initially at 358 kelvins, use Euler's method with h=0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes. (a) The temperature of the body after 30 minutes is kelvins. (Round to two decimal places as needed.)
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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![Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is,
M(t) = 290 kelvins. If the body is initially at 358 kelvins, use Euler's method with h = 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.
kelvins.
(a) The temperature of the body after 30 minutes is
(Round to two decimal places as needed.)
= K[M(t)- T(t)], where K is a constant. Let K = 0.04 (min)
and the temperature of the medium be constant,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2afd3d33-de7a-4546-823f-bd1842139ea5%2F465bf068-fe33-4ee1-aa96-3f618c5cc487%2Fys3l66_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is,
M(t) = 290 kelvins. If the body is initially at 358 kelvins, use Euler's method with h = 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.
kelvins.
(a) The temperature of the body after 30 minutes is
(Round to two decimal places as needed.)
= K[M(t)- T(t)], where K is a constant. Let K = 0.04 (min)
and the temperature of the medium be constant,
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