converting from T-domain to S-domain?


by mhnassif
Tags: laplace, laplace tranform, s-domain, t-domain
mhnassif
mhnassif is offline
#1
Oct10-09, 02:02 PM
P: 4
1. The problem statement, all variables and given/known data

convert T-domain to S-domain

F(t)= e^-4t *sin10t

2. Relevant equations



3. The attempt at a solution

sin10t converted to 10/[(S^2)+100]

but how can i convert e^-4t ?
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ryan88
ryan88 is offline
#2
Oct10-09, 02:38 PM
P: 39
You can use a table of laplace transforms to find this easily: http://www.vibrationdata.com/Laplace.htm
mhnassif
mhnassif is offline
#3
Oct10-09, 02:56 PM
P: 4
Thank you,

I know exp(-at) on s-domain will be

But is the Alpha sign a constant, to replace it with a value?

ryan88
ryan88 is offline
#4
Oct10-09, 04:44 PM
P: 39

converting from T-domain to S-domain?


I just took a closer look at that table, I'm not sure why they used a and alpha. Basically this should be:

[tex]\mathcal{L}\left(e^{-at})\right = \frac{1}{s+a}[/tex]

Hope that helps,

Ryan
mhnassif
mhnassif is offline
#5
Oct11-09, 12:58 PM
P: 4
Quote Quote by ryan88 View Post
I just took a closer look at that table, I'm not sure why they used a and alpha. Basically this should be:

[tex]\mathcal{L}\left(e^{-at})\right = \frac{1}{s+a}[/tex]

Hope that helps,

Ryan
Solved ,, Thank You ,

Have a nice day


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