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 1.07 m. She sets the pendulum swinging, and her collaborators carefully count 105 complete cycles of oscillation during 216 s. What is the result?

Explanation / Answer

Time period of simple oscillating pendulum = 2 * pi * sqrt(l/g)

Time period=(216/105)= 2*3.14* sqrt(1.07/g)

g = 9.97 m/sec^2

Acceleration due to gravity on that planet = 9.97 m/sec^2

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