Answered

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Solve the formula to solve for L in terms of pie T and g

Solve The Formula To Solve For L In Terms Of Pie T And G class=

Sagot :

Hi1315

Answer:

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

Step-by-step explanation:

Hey there,

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

Use cross multiplication

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

Hope this helps you.

Let me know if you have any other questions :-)

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