EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Chapter 8, Problem 8.10P
The immersed object shown in Figure 8.1.2e is steel and has a mass of 100 kg and a specific heat of cp= 500 J/kg • °C. Assume the thermal resistance is R = 0.09°C • s/J. The inital temperature of the object is 20° when it is dropped into a large bath of temperature 80°C. Obtain the expression for the temperature 77/) of the object after it is dropped into the bath.
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5 Problem
=
How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3 cm that
has properties similar to water with a density of ρ
1000 kg/m³ and thermal conductivity of
k = 0.606 Watts/(m.°C) and specific heat of c = 4182 J/(kg.° C). Suppose that an egg is fully
cooked when the temperature at the center reaches 70° C. Initially the egg is taken out of the
fridge at 4° C and placed in the boiling water at 100° C. Since the egg shell is very thin assume
that it quickly reaches a temperature of 100° C. The protein in the egg effectively immobilizes
the water so the heat conduction is purely conduction (no convection). Plot the temperature of
the egg over time and use the data tooltip in MATLAB to make your conclusion on the time it
takes to cook the egg in minutes.
Figure 1: Image source: [Link]
Chapter 8 Solutions
EBK SYSTEM DYNAMICS
Ch. 8 - Prob. 8.1PCh. 8 - Suppose the rocket motor in Problem 8.1 takes 0.04...Ch. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - The liquid-level system shown in Figure 8.1.2d has...Ch. 8 - The immersed object shown in Figure 8.1.2e is...
Ch. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - Prob. 8.17PCh. 8 - Obtain the response of the following models with...Ch. 8 - Prob. 8.19PCh. 8 - Prob. 8.20PCh. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Prob. 8.23PCh. 8 - If applicable, compute <, r, a>„, and iod for the...Ch. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - 8.27 Given the model
,v — (/z + 2)i + (2/z + 5)x =...Ch. 8 - Prob. 8.28PCh. 8 - Prob. 8.29PCh. 8 - 8.30 The characteristic equation of a certain...Ch. 8 - Prob. 8.31PCh. 8 - Prob. 8.32PCh. 8 - Prob. 8.33PCh. 8 - Prob. 8.34PCh. 8 - Prob. 8.35PCh. 8 - Derive the fact that the peak time is the same for...Ch. 8 - Prob. 8.37PCh. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Prob. 8.42PCh. 8 - Prob. 8.43PCh. 8 - Prob. 8.44PCh. 8 - Prob. 8.45P
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