Newton's law of cooling says the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium (the ambient temperature). dT - k(T – T_) dt Where T= the temperature of the body (°F), t = time (hr), k = the proportionality constant (per hour), and Ta = the ambient temperature (°F). Use Newton's law of cooling and Euler's method to compute the body temperature of a homicide victim over a 3-hour period using k = 0.15 / hr and A t = 0. 25 hr. Assume the victim's body temperature at the time of death was 100.4 °F, and the room temperature was a constant 68.0 °F over the 3-hr period. Display the output in a properly labeled table.
Newton's law of cooling says the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium (the ambient temperature). dT - k(T – T_) dt Where T= the temperature of the body (°F), t = time (hr), k = the proportionality constant (per hour), and Ta = the ambient temperature (°F). Use Newton's law of cooling and Euler's method to compute the body temperature of a homicide victim over a 3-hour period using k = 0.15 / hr and A t = 0. 25 hr. Assume the victim's body temperature at the time of death was 100.4 °F, and the room temperature was a constant 68.0 °F over the 3-hr period. Display the output in a properly labeled table.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.22P: 1.22 In order to prevent frostbite to skiers on chair lifts, the weather report at most ski areas...
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Transcribed Image Text:Newton's law of cooling says the temperature of a body changes at a rate proportional
to the difference between its temperature and that of the surrounding medium (the
ambient temperature).
dT
- k(T – T.)
dt
Where T= the temperature of the body (°F), t = time (hr), k = the proportionality
constant (per hour), and Ta = the ambient temperature (°F).
Use Newton's law of cooling and Euler's method to compute the body temperature of a
homicide victim over a 3-hour period using k = 0.15 / hr and A t = 0. 25 hr. Assume
the victim's body temperature at the time of death was 100.4 °F, and the room
temperature was a constant 68.0 °F over the 3-hr period. Display the output in a
properly labeled table.
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