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 1.34 m. She sets the pendulum swinging, and her collaborators carefully count 108 complete cycles of oscillation during 215 s. What is the result?

Explanation / Answer

time period of the simple pendulum T = 215/108 s

= 1.991 s

now T=2*pi(l/g)^0.5

==> g = (2*pi)^2*l/T^2

= (2*3.14)^2*1.34/1.991^2 m/s^2

= 13.33 m/s^2

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