Understanding Basic Algebra: Rearranging Equations and Solving for Variables

  • Thread starter Thread starter AstroIreland
  • Start date Start date
AI Thread Summary
The discussion revolves around the challenges of rearranging the equation n = C/V to solve for the variable V. The individual expresses confusion about the order of operations when moving terms across the equation, particularly whether to manipulate the numerator or denominator first. They seek clarification on the reasoning behind moving specific terms and how to apply this to other equations, like Snell's law. The conversation highlights the stress of preparing for exams while managing personal issues, emphasizing the importance of understanding basic algebraic principles. Overall, the thread underscores the need for clear strategies in rearranging equations effectively.
AstroIreland
Messages
12
Reaction score
0

Homework Statement



I have a very simple question I am having problems with.


Homework Equations



n= C/V

The Attempt at a Solution



Hey guys,

This is a very simple equation indeed. I am a mature student and starting up in physics.
My mathematics is terrible. So please don't laugh. I can seem to integrate and differentiate but for some reason, I have forgotten something really really really stupid.

I rearranged the above formula earlier and to solve for v and I came up with Cn=V.

I don't know why I am doing that and this, I had no problem before.

So my question is, when changing sides of an equation, how do I know which to move from one side to the other and in what order.

Do i start with numerator or denominator. And if so, what order.

I have exams coming up and I am in a divorce currently and really really simple stuff has completely slipped from my brain. For obvious reasons, I can't ask this question at my university.

I am in a bit of a panic.
 
Physics news on Phys.org
Multiply both sides by V, and then divide both sides by n.
 
Chestermiller said:
Multiply both sides by V, and then divide both sides by n.

Cheers, but why do you move the v first and not the C?

Is it because its the bigger number or do you always move the denominator first and solve in more steps?
 
like why wouldn't you just move the C first??!

Thanks
 
And say for example I am using the Snells law formula where there is a fraction on each side of the equation.
How do I know when changing sides whether to add to the numerator or denominator? thanks.
 
No worries, cross multiplication was what I am looking for.

Can you believe i made it to second year astro in the top 50 uni's in the world?!

Jeeze... exams do funny things to you.

Thanks mate.
 
Last edited by a moderator:
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top