Rearranging Formulas: Fairly simple but I'm very stuck

[Alexander8]

Homework Statement

Change the subject of the equation to (g)

Homework Equations

T = 2π√l/g x^2

The Attempt at a Solution

In my attempt I've divided both sides by 2π for
T/2π = √l/g x^2

Then I decided to square both sides for

(T/2π)^2 = l/g x^2

Now I'm really not sure if what I've done so far is off or I'm on the right track?
I'm usually ok when it comes to this but for some reason this has caught me out
Any help would be greatly appreciated, thanks.

 

[berkeman]

Then I decided to square both sides for

(T/2π)^2 = l/g x^2

It's not time to square both sides yet (and you only squared the left side anyway).

Instead, divide both sides by x^2 so you get just the square root on the righthand side (RHS). Then it will be time to square both sides of the equation and continue doing the algebra to isolate g.

 

[Charles Link]

I don't know how the $x^2$ got in there=usually this equation reads $T=2 \pi \sqrt{\frac{l}{g}}$, but assuming the $x^2$ belongs there, it becomes an $x^4$ when you square both sides. $\\$ To solve for $g$ , one helpful hint is you can multiply both sides of the equation by $g$ . The $g's$ will cancel on the right side, and it will be in the numerator on the left side.

 

[Alexander8]

It's not time to square both sides yet (and you only squared the left side anyway).

Instead, divide both sides by x^2 so you get just the square root on the righthand side (RHS). Then it will be time to square both sides of the equation and continue doing the algebra to isolate g.

So my first step of dividing both sides by 2π to give

T/2π = √l/g x^2

is correct?

 

[Alexander8]

I don't know how the $x^2$ got in there=usually this equation reads $T=2 \pi \sqrt{\frac{l}{g}}$, but assuming the $x^2$ belongs there, it becomes an $x^4$ when you square both sides. $\\$ To solve for $g$ , one helpful hint is you can multiply both sides of the equation by $g$ . The $g's$ will cancel on the right side, and it will be in the numerator on the left side.

Yeah I found that equation without the x^2 asked on here previously, but for some reason the question we've been given includes the additional x^2

 

[Alexander8]

Sorry to message again, but I've got:

g = (4π²Lx⁴)/T²

Is that correct or am I way off?

 

[Charles Link]

@Alexander8 It's correct.

 

[Alexander8]

@Alexander8 It's correct.

Ahhh panic over. Thank you very much for the help!