Question

An oscillating object takes 0.10 s to complete one cycle; that is, its period is 0.10 s. What is its frequency f? Express your answer in hertz. ff f = 10 Hz SubmitPrevious Answers Correct Part D If the frequency is 40 Hz, what is the period T ?

Answer 1

a) Frequency = 10 Hz

b) Period, T = 0.025 s

Step-by-step explanation:

We know that period and frequency are reciprocal to each other.

`\texttt{Period = }\frac{1}{\texttt{Frequency}}`

a) An oscillating object takes 0.10 s to complete one cycle; that is, its period is 0.10 s, we need to find frequency

Period = 0.10 s

`\texttt{Period = }\frac{1}{\texttt{Frequency}}\\\\0.10=\frac{1}{\texttt{Frequency}}\\\\\texttt{Frequency}=(1)/(0.1)=10Hz`

Frequency = 10 Hz

b) If the frequency is 40 Hz, what is the period T

Frequency = 40 Hz

`\texttt{Period = }\frac{1}{\texttt{Frequency}}\\\\\texttt{Period = }(1)/(40)\\\\\texttt{Period = }=0.025s`

Period, T = 0.025 s