The period is 0.6 seconds and the frequency is 1.67 Hz.
The period of an oscillating system is the time it takes for one complete cycle or oscillation to occur.
It is represented by the symbol T.
The frequency of an oscillating system is the number of cycles or oscillations that occur in one second and is represented by the symbol f.
The period and frequency of an oscillating system are inversely related.
The formula to calculate the period is T = 1/f.
In this case, the system completes 50 full cycles in 30 seconds.
Therefore, the period (T) can be calculated by dividing the total time (30 seconds) by the number of cycles (50). The period is equal to 0.6 seconds.
The frequency (f) can be calculated by taking the reciprocal of the period, which gives a frequency of 1.67 Hz.