Savitha notes down the data of time taken to complete 30 oscillations as 60 s and hence calculates the length of the simple pendulum as: (Take π2 = 9.8, and g =9.8 m/s2)
Correct Answer :
1 m
Solution :
Given that 30 complete oscillations take a total time of 60 s, the period (time for one oscillation) is
The period of a simple pendulum of length is related to the acceleration due to gravity by
Re‑arranging to solve for gives
Substituting , and the given numerical relation (so ), we obtain
Plugging the numbers:
Calculate numerator:
Denominator:
Therefore
Thus the length of the pendulum calculated by Savitha is 1 m.
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