Final 9 - Strange Planet

Given:

• $\mbox{Length of pendulum is 12 meters and it took 45 seconds for it to swing back and forth.} $

Question:

• $\mbox{What is the force of gravity on this planet?} $

Rationale:

• $T = 2 \pi \sqrt{\dfrac{l}{g}} $

Calculate:

• $\dfrac{45}{10} = (2) \dfrac{22}{7} \sqrt{\dfrac{12}{g}} $
• $  (4.5) \dfrac{7}{44} = \sqrt{\dfrac{12}{g}} $
• $ 0.71590 = \sqrt{\dfrac{12}{g}} $
• $ 0.51251281 = \dfrac{12}{g}  $
• $ g = \dfrac{12}{ 0.51251281} = 23.4140489 \approx 23.4 $

References:

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