Key Concept: Time Period, Frequency
a) Time period: 0.25 s, Frequency: 4 Hz
[Solution Description]
To find the time period ($T$), we use the formula $T = \frac{\text{Total Time}}{\text{Number of Oscillations}}$. Given that the pendulum completes 60 oscillations in 15 seconds, we substitute the values into the formula:
$T = \frac{15}{60} = 0.25 \text{ seconds}$
Next, to find the frequency ($f$), we use the formula $f = \frac{1}{T}$. Substituting the value of $T$:
$f = \frac{1}{0.25} = 4 \text{ Hz}$
Therefore, the time period is 0.25 seconds and the frequency is 4 Hz.
Your Answer is correct.
a) Time period: 0.25 s, Frequency: 4 Hz
[Solution Description]
To find the time period ($T$), we use the formula $T = \frac{\text{Total Time}}{\text{Number of Oscillations}}$. Given that the pendulum completes 60 oscillations in 15 seconds, we substitute the values into the formula:
$T = \frac{15}{60} = 0.25 \text{ seconds}$
Next, to find the frequency ($f$), we use the formula $f = \frac{1}{T}$. Substituting the value of $T$:
$f = \frac{1}{0.25} = 4 \text{ Hz}$
Therefore, the time period is 0.25 seconds and the frequency is 4 Hz.