Solving C and F in Formula: How to Find the Unknowns

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To solve for C in the formula Xc = 1 / (2πFC), rearrangement is necessary. The equation can be manipulated to isolate C, resulting in C = 1 / (2πfXc). Additionally, to find F, the formula can be adjusted to F = 1 / (2πCXc). The discussion also highlights the importance of avoiding duplicate posts in the forum. Clear guidance on manipulating equations is provided to assist with solving for both unknowns.
RanCor
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This is the first time I've used this forum and i really could use someones help on how to solve for C in my formula instead of Xc

My formula is

Xc = 1 / (2PiFC) "Pi is, pi yea know, 3.14", (not 2 other unknowns)

Instead of solving for Xc i need to be able to solve for C and i don't know how to go about doing that...

any sort of help would be appreciated :)

Also... i looked down the page alilbit and i also need a formula on how to solve for F

If someone could show me how that's done so i wouldn't have to ask anyone anymore i would be very happy.
 
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do you mean you want C on the left handside of the equation? manipulation of equation?

PS: i believe the admin will do something about your posts because they are duplicates. They will say something like 'Please do not cross-post' or ...; move or delete your posts.
 
Last edited:
Make C the subject of the equation. That can't be too hard, surely?

Xc = 1/2πfC

=> 2πfCXc = 1

=> C = 1/Xc2πf

Where's the problem?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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