Respuesta :

Answer:

see explanation

Step-by-step explanation:

Given

T= 2π[tex]\sqrt{\frac{L}{g} }[/tex]

Square both sides

T² = 4π² [tex]\frac{L}{g}[/tex] ( divide both sides by 4π²

[tex]\frac{T^2}{4\pi ^2}[/tex] = [tex]\frac{L}{g}[/tex]

Multiply both sides by g

L = [tex]\frac{gT^2}{4\pi^2 }[/tex]