Upload
arisan-iqma
View
216
Download
0
Embed Size (px)
Citation preview
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 1/12
ENGINEERING MATHEMATICNEWTON’S LAW OF COOLING
AMYRAH SHAHYERAH BINTI KEIRUDIN DF14
MUHAMMAD FARID BIN MUSTAFA DF1400
NURHAFIDZ BIN ABDUL RAHMAN DF14
NURUL DIANA SYAKILA BINTI MOHAMAD ROSLI DF1400NURUL HIKMAH BINTI ARIS DF14
WAN FATIN AFIFAH BINTI WAN MOHD FAUZI DF14
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 2/12
NEWTON’S LAW OF COOLING
H!"#$%
In 17th century, Isaac Newton studied the nature of cooling
Found that there is a less than 10 degree dierence between 2 objects The rate of loss is proportional to the teperature dierence
!e applied the principle to estiate the teperature of red"hot"iron bathe tie which too$ to cool fro a red heat to a $nown teperature
%oparing this with the tie ta$en to cool fro a red heat through a $
ordinary teperatures
&ccording to this law, if the e'cess of the teperature of the body abo#
surrounding is obser#ed at e(ual inter#als on tie, the obser#ed #alues
geoetrical progession with a coon ratio
!owe#er, Newton)s law was inaccurate at high teperature
*ierre +ulong and &le'is *etit corrected Newton)s aw by clarifying the teperature of the surroundings
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 3/12
WHAT IS NEWTON’S LAW OFCOOLING& Newton-s aw of %ooling states that the rate of change of the teperat
is proportional to the dierence between its own teperature and the ateperature .i/e/ the teperature of its surroundings/
T'( $)"( #* +#!! #* '()" ,% ) ,#-% ! -$(."+% /$#/#$"#)+ "# "'(-3($(.( ,("(( !%!"( )- !$$#-!6 /$#-(- "'( -3(
T" :T'( "(/($)"$( #* ( ,#-% )" "( "T! : T'( "(/($)"$( #* !$$#-T# : "'( I")+ "(/($)"$( #* "'( ,#-%K : "'( .#!")"" : "'( "( ");(
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 4/12
F345& +63I&TIN
8
T!6 3I9IN& F345&
IN6&3 6:5&TIN 46T!+
INT693&TIN9 F&%T3
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 5/12
FORMULA DERI<ATION
N6;TN)< &; F %IN9
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 6/12
=ROBLEM STATEMENT T'( #+ ! '()"(- "# >0#C? I" .##+! "# 50#C )*"($ > "(!? F- "'
,% "'( #+ "# .##+ *$# 50#C "# 40#C S$$#- "(/($)"$( T!
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 7/12
FILA TABLE
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 8/12
SOLUTION G( T(/($)"$( #* #+ )" >0#C T> : 50#C
T! : 25#C
T# : >0#C
" : > "(!
T'( N("#’! L) #* .##+ *#$+) ! ( ,%
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 9/12
SOLUTION S,!"""( "'( ( )+( "# ()"#
I* T" : 45#C )($)( "(/($)"$( ! .#!-($- )! "(/($)"$( -(.$
"# 40#C
The tie ta$en is
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 10/12
CONCLUSION To =nd the tie ta$en of the oil to cool down fro 50#C "# 40#C6 (
#* C##+ F#$+)
A*"($ - "'( )+( #* ;6 ( !,!"""( "'( )+( "# "'( ("'( )!($ '.' ! 9?99 "(! )! ");( #* "'( #+ "# .##+ -"# 40#C?
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 11/12
7/23/2019 NEWTON'S LAW OF COOLING SLIDESHOW
http://slidepdf.com/reader/full/newtons-law-of-cooling-slideshow 12/12