The spaceship Intergalactic a lands on the surface of the uninhabited Pink Plane

Question

The spaceship Intergalactic a 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 Planets surface by means of a simple pendulum of length 1.39 m She sets the pendulum swinging, and her collaborators carefully count 1.00 times 102 complete cycles of oscillation during 217 s. What is the result?

Explanation / Answer

The formula for the period of a pendulum is

T = 2l/g

SInce the collaborations count 100 cycles in 217 sec, that is 2.17 sec per cycle (and thus the period)

2.17 = 2(1.39/g)

g = 11.7 m/s2

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