General Science • PhysicsHard
What is the angular frequency of oscillation of a simple pendulum of length L located in a region where the acceleration due to gravity is g?
A. Square root of g over L✓ Correct Answer
B. Square root of L over g
C. Two pi times square root of g over L
D. Two pi times square root of L over g
💡 Solution & Explanation
The restoring torque acting on a simple pendulum for small angular displacements leads to a differential equation of simple harmonic motion whose angular frequency omega equals the square root of g divided by L. The time period of oscillation is inversely proportional to this angular frequency. This relationship allows precise determination of local gravitational acceleration in geophysics.
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