Concept explainers
Is a pendulum with a 1.5-second period longer or shorter in length than a pendulum with a 1-second period?
To identify: Whether the pendulum with a 1.5 second period is longer or shorter in length than a pendulum with a 1 second period.
Answer to Problem 4A
1.5 second period has longer pendulum in length.
Explanation of Solution
Introduction:
The period of a pendulum depends on the length of pendulum and acceleration due to gravity.
Since both pendulums are on the Earth and at the same height. Thus, acceleration due to gravity will be constant for both. But, a shorter length of pendulum travels faster and swept more area in the repeated motion. Here, to complete a cycle in 1.5 second period, a pendulum must be longer to move slowly or swept less area in an equal amount of time with the pendulum of
Conclusion:
Thus, a pendulum completing its cycle in 1.5 seconds period has a longer length comparatively.
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