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Title: Adding different Angular frequency w(t)? Post by: Charlie Mack on Sep 29, 2021 I am having trouble understanding this. I understand how to solve the equation but can we just add the angular frequency? I thought they have to be the same?
Express in single cosine? y(t)=5cos(500t+60) + 100cos(100t-30) Can we just add the 500t and 100t? The answer is 100.123cos(wt-27.13) ; w=? Title: Re: Adding different Angular frequency w(t)? Post by: bio_man on Sep 29, 2021 Can we just add the 500t and 100t? Unfortunately you cannot. You can use the following formula: (https://biology-forums.com/gallery/43/6_29_09_21_9_31_48.png) (https://biology-forums.com/index.php?action=gallery;sa=view&id=43458) Set: \(A = 5\) \(B = 100\) \(\alpha=60\) \(\beta=-30\) (https://biology-forums.com/gallery/43/6_29_09_21_9_39_09.png) (https://biology-forums.com/index.php?action=gallery;sa=view&id=43459) See if you can get the rest on your own. If not, simply reply back :) See the document below for further reference. Title: Re: Adding different Angular frequency w(t)? Post by: romir.juwelz on Mar 20, 2023 Was looking long for an answer to this.
Can I somehow use the formulars in your attachement to add a Sine and a Cosine with doubled frequency? Title: Re: Adding different Angular frequency w(t)? Post by: bio_man on Mar 20, 2023 Was looking long for an answer to this. Can I somehow use the formulars in your attachement to add a Sine and a Cosine with doubled frequency? Can you show me what the expressions look like? |