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Category > Engineering Posted 11 Jun 2017 My Price 3.00

A heat transfer process has the following transfer function between a temperature

A heat transfer process has the following transfer function between a temperature T and an inlet flow rate q where the time constants have units of minutes: 

If the flow rate varies sinusoidally with au amplitude of 2 L/mm and a period of 0.5 mm, what is the amplitude of the temperature signal after the transients have died out?

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Alpha Geek
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Status NEW Posted 11 Jun 2017 12:06 PM My Price 3.00

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file 1497184745-Answer.docx preview (134 words )
A-----------nsw-----------er ----------- T'-----------( s----------- ) -----------/Q'----------- (s----------- ) -----------= 3----------- ( -----------1-s----------- ) -----------/s -----------( 2-----------s+1-----------) t-----------he -----------mat-----------hem-----------ati-----------cal----------- re-----------pre-----------sen-----------tat-----------ion----------- fo-----------r s-----------inu-----------soi-----------dal----------- in-----------put----------- th-----------is -----------is -----------rep-----------res-----------ent-----------ed -----------by -----------the----------- x=-----------0 ,----------- wh-----------en -----------t x----------- = -----------Asi-----------nwt----------- , -----------whe-----------n t----------- &a-----------mp;-----------gt;----------- ------------- 0 -----------x =----------- A -----------sin-----------wt -----------if -----------t =-----------0 s-----------in -----------wt -----------= 0----------- TH-----------EN -----------x =-----------0 s-----------o A----------- = -----------0 p-----------eri-----------od -----------= 2-----------T /-----------w s-----------o x-----------=0 -----------, t----------- x -----------= A----------- si-----------n w-----------t ,-----------t &-----------amp-----------;gt-----------; ------------ 0 -----------x(s----------- ) -----------= A-----------w /----------- x^-----------2 +----------- w^-----------2 T----------- ' -----------( s----------- ) -----------/Q -----------' (----------- s -----------) =----------- 3 -----------/s -----------* (----------- 1------------s )----------- / -----------( 2-----------s +-----------1)=----------- 3 -----------/s -----------* [----------- 1 -----------/2s----------- +1----------- - -----------s /-----------2s -----------+1 -----------] a-----------mpl-----------itu-----------de -----------= A----------- = -----------3 /-----------s 2----------- = -----------3/s----------- s=----------- 3/-----------2 =-----------1.5----------- 0.-----------5
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