Answer:
The period of a wave or an oscillating system is the time it takes for the system to complete one full cycle of its motion. In physics and engineering, the period of a wave is a fundamental concept used to describe the behavior of periodic signals and systems. The period can be used to calculate other parameters of the wave, such as its frequency, wavelength, and velocity.
In this case, the oscillator completes 30 cycles in 15 seconds, meaning it completes a cycle every 15 seconds / 30 cycles = 0.5 seconds. So the period of the oscillator is 0.5 seconds. The frequency of the oscillator can then be calculated as the reciprocal of its period, which is 1 / 0.5 seconds = 2 Hz.
In conclusion, the period of an oscillator is an important parameter that describes its behavior, and it is directly related to other parameters such as frequency, wavelength, and velocity.