GIGASaga GIGASaga
  • 17-10-2019
  • Mathematics
contestada

How do you do this and what’s the answer to this I been stuck on this question for litterly 20 mins

How do you do this and whats the answer to this I been stuck on this question for litterly 20 mins class=

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jdoe0001 jdoe0001
  • 17-10-2019

[tex]\bf T=2\pi \sqrt{\cfrac{L}{g}}\implies \stackrel{\textit{squaring both sides}}{(T)^2=\left( 2\pi \sqrt{\cfrac{L}{g}}\ \right)^2}\implies T^2=2^2\pi^2\sqrt{\left( \cfrac{L}{g} \right)^2} \\\\\\ T^2=4\pi^2\cfrac{L}{g}\implies T^2=\cfrac{4\pi^2L}{g}\implies gT^2=4\pi^2L\implies g=\cfrac{4\pi^2L}{T^2}[/tex]

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