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a simple pendulum takes 1 minute and 4 second to complete 16 oscillations estimate:
a. time period of the simple pendulum
b. the frequency
step by step explanation please.......
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Hey Friend!
Here's your answer:
Sure! Let's go through the steps to estimate the time period and frequency of the simple pendulum based on the given information:
Given:
Number of oscillations (n) = 16
Total time taken for n oscillations = 1 minute 4 seconds
First, we need to find the time taken for one oscillation. We can then use this information to calculate the time period and frequency.
a. Time period of the simple pendulum:
To find the time taken for one oscillation, we can divide the total time taken by the number of oscillations:
Total time for 16 oscillations = 64 seconds (1 minute = 60 seconds + 4 seconds)
Time for one oscillation = Total time / Number of oscillations
Time for one oscillation = 64 seconds / 16
Time for one oscillation = 4 seconds
Therefore, the time period of the simple pendulum is approximately 4 seconds for each oscillation.
b. Frequency:
To find the frequency, we can use the formula:
Frequency (f) = 1 / Time period (T)
Frequency = 1 / 4
Frequency = 0.25 Hz
Thus, the estimated frequency of the simple pendulum is approximately 0.25 Hz.
So, in summary:
a. The time period of the simple pendulum is approximately 4 seconds.
b. The frequency of the simple pendulum is approximately 0.25 Hz.
Hope that helped you!
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