Question

a person in a rocking chair completes 19 cycles in 15 s.

part a
what is the period of the rocking?
express your answer using two significant figures.
\\(t =\\)

part b
what is the frequency of the rocking?
express your answer using two significant figures.
\\(f =\\)

Explanation:

Calculate the period of rocking

$$ T = \frac{\text{Total time}}{\text{Number of cycles}} = \frac{15\text{ s}}{19} \approx 0.7895\text{ s} \approx 0.79\text{ s} $$

Calculate the frequency of rocking

$$ f = \frac{1}{T} = \frac{19}{15\text{ s}} \approx 1.267\text{ Hz} \approx 1.3\text{ Hz} $$

Answer:

Question 1

\(T = 0.79\text{ s}\)

Question 2

\(f = 1.3\text{ Hz}\)