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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

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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

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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  : "'( .#!")"" : "'( "( ");(

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F345& +63I&TIN

8

 

 T!6 3I9IN& F345&

IN6&3 6:5&TIN 46T!+

INT693&TIN9 F&%T3

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FORMULA DERI<ATION  

N6;TN)< &; F %IN9

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=ROBLEM STATEMENT T'( #+ ! '()"(- "# >0#C? I" .##+! "# 50#C )*"($ > "(!? F- "'

,% "'( #+ "# .##+ *$# 50#C "# 40#C S$$#- "(/($)"$( T! 

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FILA TABLE

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SOLUTION G( T(/($)"$( #* #+ )" >0#C T> : 50#C

T! : 25#C

T# : >0#C

" : > "(!

T'( N("#’! L) #* .##+ *#$+) ! ( ,%

 

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SOLUTION S,!"""( "'( ( )+( "# ()"#

I* T" : 45#C )($)( "(/($)"$( ! .#!-($- )! "(/($)"$( -(.$

"# 40#C

 The tie ta$en is

 

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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?

 

 

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