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carlj0nes
 one year ago
By using a Scaled phasor Diagram determine the resultant force when the following currents are added. (I will attach a picture in the comment).
What I need is from the method I have used clearly explain the method/technique used and to validate the solution/ method by using an alternative mathematical method.
carlj0nes
 one year ago
By using a Scaled phasor Diagram determine the resultant force when the following currents are added. (I will attach a picture in the comment). What I need is from the method I have used clearly explain the method/technique used and to validate the solution/ method by using an alternative mathematical method.

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4here we can try to develop your formulas

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4please wait I'm computing your sum...

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4here are my steps:

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4\[\begin{gathered} 20\cos \left( {60\pi t} \right)\cos \left( {\pi /4} \right)  20\sin \left( {60\pi t} \right)\sin \left( {\pi /4} \right) + \hfill \\ \hfill \\ + 30\cos \left( {60\pi t} \right)\cos \left( {\pi /10} \right)  30\sin \left( {60\pi t} \right)\sin \left( {\pi /10} \right) = \hfill \\ \hfill \\ = \cos \left( {60\pi t} \right)\left\{ {20\cos \left( {\pi /4} \right) + 30\cos \left( {\pi /10} \right)} \right\}  \hfill \\ \hfill \\  \sin \left( {60\pi t} \right)\left\{ {20\sin \left( {\pi /4} \right) + 30\sin \left( {\pi /10} \right)} \right\} \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4now, we can write: \[\left\{ \begin{gathered} 20\cos \left( {\pi /4} \right) + 30\cos \left( {\pi /10} \right) = A\cos \alpha \hfill \\ 20\sin \left( {\pi /4} \right) + 30\sin \left( {\pi /10} \right) = A\sin \alpha \hfill \\ \end{gathered} \right.\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4using the subsequent values: \[\cos \left( {\pi /4} \right) = \sin \left( {\pi /4} \right) = \frac{1}{{\sqrt 2 }}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4\[\begin{gathered} \cos \left( {\pi /10} \right) = \frac{{\sqrt {10 + \sqrt {20} } }}{4}, \hfill \\ \hfill \\ \sin \left( {\pi /10} \right) = \frac{{\sqrt 5  1}}{4} \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4I rewrite those values:\[\begin{gathered} \cos \left( {\pi /10} \right) = \frac{{\sqrt {10 + \sqrt {20} } }}{4}, \hfill \\ \hfill \\ \sin \left( {\pi /10} \right) = \frac{{\sqrt 5  1}}{4} \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4\[\begin{gathered} \sin \left( {\pi /10} \right) = \frac{{\sqrt 5  1}}{4} \hfill \\ \cos \left( {\pi /10} \right) = \frac{{\sqrt {10 + \sqrt {20} } }}{4}, \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4\[\Large \begin{gathered} \sin \left( {\pi /10} \right) = \frac{{\sqrt 5  1}}{4} \hfill \\ \hfill \\ \cos \left( {\pi /10} \right) = \frac{{\sqrt {10 + \sqrt {20} } }}{4}, \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4I hope you see them correctly

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4we can rewrite those equations as below: \[\Large \left\{ \begin{gathered} \frac{{20}}{{\sqrt 2 }} + 30\frac{{\sqrt {10 + \sqrt {20} } }}{4} = A\cos \alpha \hfill \\ \hfill \\ \frac{{20}}{{\sqrt 2 }} + 30\frac{{\sqrt 5  1}}{4} = A\sin \alpha \hfill \\ \end{gathered} \right.\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4then we square both of those equations and we add them together, so we can write: \[\large {A^2} = {\left( {\frac{{20}}{{\sqrt 2 }} + 30\frac{{\sqrt {10 + \sqrt {20} } }}{4}} \right)^2} + {\left( {\frac{{20}}{{\sqrt 2 }} + 30\frac{{\sqrt 5  1}}{4}} \right)^2}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4whereas divding side by side those equations, we find: \[\Large \tan \alpha = \frac{{A\sin \alpha }}{{A\cos \alpha }} = \frac{{\frac{{20}}{{\sqrt 2 }} + 30\frac{{\sqrt 5  1}}{4}}}{{\frac{{20}}{{\sqrt 2 }} + 30\frac{{\sqrt {10 + \sqrt {20} } }}{4}}}\]

carlj0nes
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino thank you for your help. Sorry to be a pain but would you be able to hand write the first part for me and upload a picture just so i can try to understand some of the terminology of what you have put. e.g. hfill and \

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4no, I'm sorry I'm not able to hand write my answer, nevertheless I'm able to write a PDF file, and attach it using the "Attach FIle" button

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4from my preceding 2 formulas, you can find both the amplitude A, and the angle \alpha, so you can write your answer as follows: \[\Large {i_1} + {i_2} = A\cos \left( {60\pi t + \alpha } \right)\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4please wait, I'm doing that computation...

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4I got: \[\Large \begin{gathered} A = 48.67Amperes \hfill \\ \alpha = 0.5\;radians \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4so we can write: \[\Large {i_1} + {i_2} \cong 48.7\cos \left( {60\pi t + 0.5} \right)\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4please note that we have the subsequent equivalence: \[\Large 0.5\;{\text{radians}} = 28.75\;{\text{degrees}}\]

carlj0nes
 one year ago
Best ResponseYou've already chosen the best response.0That would be helpful if you could put it as a PDF as im not use to how this is laid out. I normally have to type it up in word and it takes ages (see attached). That was why I suggested handwritten as it what i find easiest. But we all have our preferences.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino you deserve more than 2 medals D:! All that Latex!

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4thanks! :) @UsukiDoll

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4@carlj0nes ok! I start to write your PDF file, please wait, it will take some time

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0texmaker and then use Latex > PDF I think it was F5 . I forgot.

carlj0nes
 one year ago
Best ResponseYou've already chosen the best response.0just a note at the beginning should that of been 32 cos not 30 cos

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4That's right! I use TexMik with TeXnicCenter

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4ok! I update my answer with your value @carlj0nes

carlj0nes
 one year ago
Best ResponseYou've already chosen the best response.0just a note at the beginning should that of been 32 cos not 30 cos

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4here is my PDF file:

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4what do you think about that file?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I saw "in order to that" @______@

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4is it correct? @UsukiDoll

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0"In order to [do] that"

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4ok! thanks! I'm updating my file @UsukiDoll

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0A simple computation shows us...

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0[Therefore,] we can write

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0compute [the following] ratio

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4following the suggestions by @UsukiDoll I have rewritten my file, here is it:

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0known angles [we have], [Next,] we get,

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0comma splice! period after Amplitude A A simple computation (no s) Again, after a simple computation, we get: delete So. add[ As a result, ]the requested sum of the two currents is

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4here my new updated version of the preceding PDF file, I have to be grateful to @UsukiDoll for her suggestions and comments to my english grammar!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I still see that comma splice

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4please what is a comma splice?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I'll take a screenshot and use paint to add my marks AHHAAHAHHAHAHA

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0comma splice is a comma between two complete sentences. It's the most aggravating error for English Professors to see on essays

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4ok! Please show where is the comma splice in my file

carlj0nes
 one year ago
Best ResponseYou've already chosen the best response.0Thank you for all you help it is much appreciated. I am about to post another question and i would like to invite both of you.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I have to sleep early. I have to help shop blah
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