Formula for number of oscillations of simple pendulum

The period $T$ is the time taken for one complete oscillation. If a pendulum completes $N$ oscillations in a total time $t$, then the period is given by:

$$T = \frac{t}{N}$$

$$N = \frac{t}{2\pi \sqrt{\frac{L}{g}}}$$

Where:

• $N$ is the number of oscillations.
• $t$ is the total time over which the oscillations are counted.
• $L$ is the length of the pendulum.
• $g$ is the acceleration due to gravity.
• $\pi$ is the mathematical constant pi.

The formula for the number of oscillations of a simple pendulum is:

$$\boxed{N = \frac{t}{2\pi \sqrt{\frac{L}{g}}}}$$

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