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: