newton's law of cooling slideshow

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