The 2.44-m high exterior wall of a backwoods shack is constructed of 16-mm-thick cedar boards that form the outside surface of the shack's wall, 38-mm by 90-mm pine studs on 406-mm centers with glass-fiber insulation batts between the studs, and a 10- mm-thick inside wall made of plywood. The exterior wall construction includes a sole plate that uses 38×90 pine studs, and a top plate that uses two 38×90 pine studs. The outer surface of the exterior wall is exposed to air having a convection coefficient of hout= 35 W/m².K, and the inner surface of the wall is exposed to air having a convection coefficient of h = 8 W/m².K. Assume kedar = 0.11 W/m-K for cedar boards, = 0.14 W/m K for pine, kalts = 0.038 W/m K for glass-fiber insulation batts, and k pine
The 2.44-m high exterior wall of a backwoods shack is constructed of 16-mm-thick cedar boards that form the outside surface of the shack's wall, 38-mm by 90-mm pine studs on 406-mm centers with glass-fiber insulation batts between the studs, and a 10- mm-thick inside wall made of plywood. The exterior wall construction includes a sole plate that uses 38×90 pine studs, and a top plate that uses two 38×90 pine studs. The outer surface of the exterior wall is exposed to air having a convection coefficient of hout= 35 W/m².K, and the inner surface of the wall is exposed to air having a convection coefficient of h = 8 W/m².K. Assume kedar = 0.11 W/m-K for cedar boards, = 0.14 W/m K for pine, kalts = 0.038 W/m K for glass-fiber insulation batts, and k pine
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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Question
![The 2.44-m high exterior wall of a backwoods shack is constructed of 16-mm-thick
cedar boards that form the outside surface of the shack's wall, 38-mm by 90-mm pine
studs on 406-mm centers with glass-fiber insulation batts between the studs, and a 10-
mm-thick inside wall made of plywood. The exterior wall construction includes a sole
plate that uses 38x90 pine studs, and a top plate that uses two 38x90 pine studs.
The outer surface of the exterior wall is exposed to air having a convection coefficient of
hout = 35 W/m².K, and the inner surface of the wall is exposed to air having a
convection coefficient of hin = 8 W/m².K. Assume kedar = 0.11 W/m K for cedar boards,
k = 0.14 W/m K for pine, katts = 0.038 W/m K for glass-fiber insulation batts, and
k = 0.12 W/m K for plywood.
pine
plywood
a) Find the heat transfer coefficient U for each section of the exterior wall.
Answers: U₁ = 0.3635 W/m² K for sections with glass-fiber insulation batts and
U₂ = 0.9754 W/m² K for sections with pine studs
2
b) Find the overall heat transfer coefficient for this type of exterior wall construction.
Answer: U = 0.4467 W/m².K](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe374e874-5461-490c-9f50-64cb80000b51%2F0ef605ac-58c5-46b0-bdd8-ed2fea0ea710%2F7ray2km_processed.png&w=3840&q=75)
Transcribed Image Text:The 2.44-m high exterior wall of a backwoods shack is constructed of 16-mm-thick
cedar boards that form the outside surface of the shack's wall, 38-mm by 90-mm pine
studs on 406-mm centers with glass-fiber insulation batts between the studs, and a 10-
mm-thick inside wall made of plywood. The exterior wall construction includes a sole
plate that uses 38x90 pine studs, and a top plate that uses two 38x90 pine studs.
The outer surface of the exterior wall is exposed to air having a convection coefficient of
hout = 35 W/m².K, and the inner surface of the wall is exposed to air having a
convection coefficient of hin = 8 W/m².K. Assume kedar = 0.11 W/m K for cedar boards,
k = 0.14 W/m K for pine, katts = 0.038 W/m K for glass-fiber insulation batts, and
k = 0.12 W/m K for plywood.
pine
plywood
a) Find the heat transfer coefficient U for each section of the exterior wall.
Answers: U₁ = 0.3635 W/m² K for sections with glass-fiber insulation batts and
U₂ = 0.9754 W/m² K for sections with pine studs
2
b) Find the overall heat transfer coefficient for this type of exterior wall construction.
Answer: U = 0.4467 W/m².K
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