2. A rectangular swimming pool is 1.5 m deep, 15 m wide, and 25 m long. Assume thebottom and sides of the swimming pool are insulated so that the pool exchanges heatwith its environment through the top surface only. The density of water is 1000 kg/m³, thespecific heat is 4180 J/kg-°C, and the heat transfer coefficient is 10 W/m²-°C.1.5 mHeat exchangethrough topsurface only25 mT(t)To15 mComplete the following.(a) Determine the thermal time constant of the pool and express your answer indays.(b) The swimming pool is being held at T0 = 30 °C when the power fails and externalheating stops. The air temperature around the pool (T) drops quickly and can beassumed to be 10 °C at time t = 0. Write a script file in MATLAB® that plots the pooltemperature for a duration of four thermal time constants.

Answered: Image /qna-images/answer/25e13b30-c6b3-49d8-8246-49b0fdaa2660.jpg

2. A rectangular swimming pool is 1.5 m deep, 15 m wide, and 25 m long. Assume the bottom and sides of the swimming pool are insulated so that the pool exchanges heat with its environment through the top surface only. The density of water is 1000 kg/m³, the specific heat is 4180 J/kg-°C, and the heat transfer coefficient is 10 W/m²-°C. 1.5 m Heat exchange through top surface only Too I 25 m T(1) 15 m Complete the following. (a) Determine the thermal time constant of the pool and express your answer in days. (b) The swimming pool is being held at T0 = 30 °C when the power fails and external heating stops. The air temperature around the pool (T∞) drops quickly and can be assumed to be 10 °C at time t = 0. Write a script file in MATLAB that plots the pool temperature for a duration of four thermal time constants. Ⓡ

2. A rectangular swimming pool is 1.5 m deep, 15 m wide, and 25 m long. Assume the bottom and sides of the swimming pool are insulated so that the pool exchanges heat with its environment through the top surface only. The density of water is 1000 kg/m³, the specific heat is 4180 J/kg-°C, and the heat transfer coefficient is 10 W/m²-°C. 1.5 m Heat exchange through top surface only Too I 25 m T(1) 15 m Complete the following. (a) Determine the thermal time constant of the pool and express your answer in days. (b) The swimming pool is being held at T0 = 30 °C when the power fails and external heating stops. The air temperature around the pool (T∞) drops quickly and can be assumed to be 10 °C at time t = 0. Write a script file in MATLAB that plots the pool temperature for a duration of four thermal time constants. Ⓡ

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

2. A rectangular swimming pool is 1.5 m deep, 15 m wide, and 25 m long. Assume the
bottom and sides of the swimming pool are insulated so that the pool exchanges heat
with its environment through the top surface only. The density of water is 1000 kg/m³, the
specific heat is 4180 J/kg-°C, and the heat transfer coefficient is 10 W/m²-°C.
1.5 m
Heat exchange
through top
surface only
25 m
T(t)
To
15 m
Complete the following.
(a) Determine the thermal time constant of the pool and express your answer in
days.
(b) The swimming pool is being held at T0 = 30 °C when the power fails and external
heating stops. The air temperature around the pool (T) drops quickly and can be
assumed to be 10 °C at time t = 0. Write a script file in MATLAB® that plots the pool
temperature for a duration of four thermal time constants.

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