The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet

Question

The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather average star in the distant Garbanzo Galaxy. A scouting party sets out to explore. The party's leader–a physicist, naturally–immediately makes a determination of the acceleration due to gravity on the Pink Planet's surface by means of a simple pendulum of length 1.18 m. She sets the pendulum swinging, and her collaborators carefully count 1.10 × 102 complete cycles of oscillation during 214 s. What is the result?

Explanation / Answer

Time period = total time / number of cycles
= 214 / (1.1*10^2)
=1.94545 s

use:
T= 2*pi*sqrt (L/g)
1.94545 =2*pi*sqrt (1.18/g)
sqrt (1.18/g) = 0.30963
g=12.31 m/s^2
Answer: 12.31 m/s^2

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