Are the following equations inversely or directly proportional to frequency?

[n3w ton]

Homework Statement

Re-arrange the equation F_c=4π²mrf² to solve for frequency (f). State the relationship between frequency and (radius, mass, Fc).

Homework Equations

F_c=4π²mrf²

The Attempt at a Solution

F_c=4π²mrf²
\frac{Fc}{4π²mr} = f²
\sqrt{\frac{Fc}{4π²mr}} = f

I have re-arranged the equation though now I need to know the relation between:
•frequency vs radius (r)
•frequency vs mass (m)
•frequency vs Fc (Fc)

Which one is proportional and which ones are inversely proportional? (does the square root affect them)?

 

[majormaaz]

\sqrt{\frac{Fc}{4π²mr}} = f

Just forget that there was a square root sign. You'd have Fc / 4n^2 * m * r.
The Square root does reduce the value of the expression inside, but does nothing to the relationships that you are looking for

I have re-arranged the equation though now I need to know the relation between:
•frequency vs radius (r)
•frequency vs mass (m)
•frequency vs Fc (Fc)

If you brought the bottom over, then it becomes clear that Fc is directly proportional to frequency, and that everything else is inversly proportional to frequency.

 

[n3w ton]

Thank you very much! The square-root was getting to me :) lol.