A pendulum makes 23 vibrations in 36 s. What is its period in seconds?
seconds per vibration = period = 36/23
To find the period of the pendulum, we need to determine the time it takes for one complete vibration.
The period (T) of a pendulum is the time taken for it to complete one full swing or one cycle. The formula to calculate the period of a pendulum is:
T = t / n
where:
T = period of the pendulum
t = total time taken (in seconds)
n = number of vibrations
In this case, the pendulum makes 23 vibrations in 36 seconds.
So, substituting the given values into the formula:
T = 36 s / 23 vibrations
To find the period in seconds, we simply divide the total time taken by the number of vibrations.
Calculating the answer:
T = 36 s / 23 vibrations
T ≈ 1.565 s (rounded to three decimal places)
Therefore, the period of the pendulum is approximately 1.565 seconds.