You are on a new planet, and are trying to use a simple pendulum to find the gravity experienced on this new planet. you find that a pendulum having a length of 35 cm has a period of 2 seconds. what is the acceleration due to gravity on this planet?

a. 13.82 m/s^2
b. 345.4 m/s^2
c. 3.45 m/s^2
d. 1.1 m/s^2

To solve this problem it is necessary to apply the concepts related to the Period based on the length of its rope and gravity, mathematically it can be expressed as

g = Gravity

L = Length

T = Period

Re-arrange to find the gravity we have

Our values are given as

Replacing we have

Therefore the correct answer is C.

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