JAMB - Mathematics (2006 - No. 43)

If \(T = 2\pi \sqrt{\frac{l}{g}}\), make g the subject of the formula
(4π l2) / T
(4π2l) / T2
(4π2l2) / T2
(2π√l) / T

Explanation

\(T = 2\pi \sqrt{\frac{l}{g}}\)

\(\frac{T}{2\pi} = \sqrt{\frac{l}{g}}\)

\((\frac{T}{2\pi})^{2} = \frac{l}{g}\)

\(\therefore g = \frac{4 \pi^{2} l}{T^{2}}\)

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