Ugh i suck at this and need your help

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To find the acceleration due to gravity (g) using the formula T = 2π√(L/g), it must be rearranged correctly. The correct rearrangement is g = (4π²L) / T². The initial attempt g² = 2πL / T was incorrect, as it failed to properly account for squaring the 2π term. The discussion emphasizes the importance of applying mathematical operations consistently on both sides of the equation. Understanding these algebraic manipulations is crucial for accurately determining g in the pendulum experiment.
physicsismylife
I am doing a lab on finding g using a simple pendulum experiment.

the formula is:

T = 2pi sqrt(L/g)

how is that rearranged to find g?

I got g^2=2piL / T


is that right? thanks
 
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g = ((L)/((T)/(2pi))^2)
 
PIML,

You forgot to square the 2*pi
 
Just do the same things on each side.

e.g. if a = 1/b, then multiplying on both sides by b gives

ab = b/b = 1

ab = 1.

Similar for multiplication and to invert square root, simply square both sides.
 
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