Answer:
The frequency of the swing: 1/2 Hertz
The period is: 2 Seconds
Explanation:
The time the kid takes to make a complete to-and-fro swing = 2 seconds
The period, T, is the time it takes to make one complete cycle of an oscillatory motion, therefore, we have;
The frequency, f, is the number of cycles completed each second, therefore, we have;
The time for 1 cycle = 2 seconds
2 seconds = 1 cycle
Dividing both sides by 2 gives;
2/2 seconds = 1/2 cycles
2/2 = 1
In 2/2 = 1 seconds The number of cycles completed = 1/2 cycles
Therefore, the number of cycles completed per (one) second = 1/2 cycles
Therefore the frequency of the swing, f = 1/2 cycle/seconds = 1/2 Hertz
The period, T, is the time it takes to complete one to-and-fro swing which is one cycle which is 2 seconds
Therefore, the period is 2 Seconds.
