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Answer :
Final answer:
The gravitational field at a location can be calculated using the pendulum's period and length. The gravitational field at the pendulum's location is approximately 9.80 m/s².
Explanation:
The formula provided g = (4π² L) / T² calculates the acceleration due to gravity (g) using the length of the pendulum (L) and its period (T).
When values of 75.000 cm for L and 1.7357 s for T are substituted into the formula, the acceleration due to gravity is found to be approximately 9.80 m/s².
This result aligns with the standard acceleration due to gravity at Earth's surface.
The formula derives from the principles governing the motion of pendulums, where the period of oscillation is inversely proportional to the square root of the acceleration due to gravity.
Thus, by measuring the period and length of a pendulum, one can accurately determine the local gravitational field strength.
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