Question

a kid on a playground swing makes 6 complete to-and-from swings each 30 seconds (a) the frequency of the swinging is? (b) the period of the swinging is ?

Answer 1

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Answer 2

The frequency is how many per second:

       (6 swings)/(30 sec) = (6/30) swing/sec = 0.2 per sec = 0.2 Hz .

The period is how long each one takes, or seconds per swing.
It's exactly the flip of frequency.
So we could just take the frequency, flip it, and find   1 / 0.2 ,
but let's do it the long way:

      (30 sec) / (6 swings) = (30/6) sec/swing =  5 seconds  .