Concept explainers
What is the period of a pendulum that takes one second to make a complete back-and-forth vibration?
To calculate: The period of oscillation of a pendulum.
Answer to Problem 2A
The period of oscillation is
Explanation of Solution
Given:
The time taken by a pendulum for completing one back and forth motion is one second.
Calculation:
Considering the pendulum motion shown below, the fundamental period or period, T is the duration for completing one full cycle of back and forth motion. This represents the movement of the pendulum bob from center to one extreme point and then to the other extreme point through the center as shown in the figure.
Here, the time for one complete back and forth motion is one second.
Conclusion:
Thus, the period of oscillation is
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