Question

A pendulum takes 10 seconds to swing through 2 complete cycles what is it’s period and frequency

Answer 1

its period should be the amount it takes to cycle from cycle to cycle so it would be 10 and your frequency would have to be calculated by taking 10 and dividing by 2 since that is how many cycles you have done so your frequency is 5

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Answer 2

Period = (10 seconds) / (2 swings)

Period = 5 seconds

Frequency = (2 swings) / (10 seconds)

Frequency = 0.2 per second.  (0.2 Hertz)

Notice that ...  

Period = 1 / Frequency,  

and

(period) x (frequency) = 1 .

These two things are true for every 'periodic' event ... anything that happens over and over and over and over and over.  Like wave motion, your heart beat, or going to school.