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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 1 Day Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A watermelon is taken out of the refrigerator at a uniform temperature of 5°C and is exposed to 27°C air. Assume that the watermelon can be approximated as a sphere and the temperature of the watermelon is uniform. The estimated parameters are the density
ρ = 120 kg/m3, diameter D = 40 cm, specific heat capacity c = 4200 J/(kg·°C), and heat transfer coefficient of the watermelon h = 15 W/(m2·°C).
a. Derive the differential equation relating the watermelon’s temperature T(t) and the air temperature. b. Using the differential equation obtained in Part (a), construct a Simulink block diagram and find the temperature of the watermelon.
X c. Build a Simscape model of the system.
d. Based on the simulation results obtained in Parts (b) and (c), how long will it take before the watermelon is warmed up to 20°C?
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