Rearranging period of pendulum equation to find length

AI Thread Summary
To rearrange the pendulum equation T=2π√(l/g) for l, first square both sides to eliminate the square root. This results in T² = 4π²(l/g). Rearranging gives l = (gT²)/(4π²). It's crucial to remember to square the entire factor of 2π when performing this operation to avoid errors. The correct formula for the length of the pendulum is thus l = (gT²)/(4π²).
Adam17
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Homework Statement

What is
T=2pi[(sqrt)l/g] rearranged for l= ?



Homework Equations





The Attempt at a Solution


Ive tried a few but I just don't know how to do this with sqrt's of a fraction involved.
 
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Eliminate the square root by squaring both sides.
 
Ok,so what I end up with after that is l=T^2g/2pi. Which is wrong as its not giving me the correct answer.
 
When you square both sides, don't forget that you also have to square the factor of 2\pi
 

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