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If a simple pendulum completes 20 oscillations in 32 seconds, what is its time period?

  • a)
    1.6 s

  • b)
    2.0 s

  • c)
    2.5 s

  • d)
    3.2 s

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If a simple pendulum completes 20 oscillations in 32 seconds, what is ...
Time period ?= Total time/Number of oscillations
= 32s/20
=1.6 s
T= 1.6 s
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Community Answer
If a simple pendulum completes 20 oscillations in 32 seconds, what is ...
Understanding the Problem
To find the time period of a simple pendulum, we need to understand the relationship between the number of oscillations and the total time taken for those oscillations.

Given Data
- Total oscillations = 20
- Total time = 32 seconds

Calculating Time Period
The time period (T) of a pendulum is defined as the time it takes to complete one full oscillation. We can calculate it using the formula:
  • Time Period (T) = Total Time / Number of Oscillations


Now, substituting the given values into the formula:
  • T = 32 seconds / 20 oscillations
  • T = 1.6 seconds



Conclusion
Thus, the time period of the pendulum is 1.6 seconds. Therefore, the correct answer is option 'A'.

Key Takeaways
- The time period indicates how long it takes for one complete oscillation.
- This calculation is essential in understanding the dynamics of pendulums, which are a fundamental concept in physics.
With this understanding, you can confidently solve similar problems involving simple harmonic motion and pendulums!
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