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Answer :
Final answer:
The gravitational field strength at a location can be calculated using the period of a pendulum and the length of the pendulum. The provided measurements of the pendulum's length and period allow for the determination of the local gravitational acceleration.
Explanation:
The student is asking about the gravitational field strength at a location where a pendulum with a certain length has a specific period time.
To determine the gravitational field strength using a pendulum, the following formula, which relates the period (T) to the length (L) of the pendulum and the gravitational acceleration (g), is used: T = 2π√(L/g). Rearranging for g gives us g = 4π²L/T².
In this question, we are given a pendulum with a length of 36.9 cm, which is 0.369 meters, and a period of 1.22 seconds. Plugging these values into the formula, we find that g = 4π²(0.369)/1.22². After computing, we'll have the acceleration due to gravity at the pendulum's location.
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