Chapter 12, Problem 1PC

(a)

To determine

The frequency of the period.

Answer to Problem 1PC

The frequency is $10\text{Hz}$.

Explanation of Solution

Given info: The period is $0.10\text{s}$.

Write the expression to calculate the frequency.

$f=\frac{1}{T}$

Here,

$f$is the frequency

$T$is the period

Substitute $0.10\text{s}$ for $T$ in the above expression to find $f$.

$\begin{array}{c}f=\frac{1}{0.10\text{s}}\\ =10\text{Hz}\end{array}$

Conclusion:

Therefore, the frequency is $10\text{Hz}$.

(b)

To determine

The frequency of the period.

Answer to Problem 1PC

The frequency is $0.2\text{Hz}$.

Explanation of Solution

Given info: The period is $5\text{s}$.

Write the expression to calculate the frequency.

$f=\frac{1}{T}$

Substitute $5\text{s}$ for $T$ in the above expression to find $f$.

$\begin{array}{c}f=\frac{1}{5\text{s}}\\ =0.2\text{Hz}\end{array}$

Conclusion:

Therefore, the frequency is $0.2\text{Hz}$.

(c)

To determine

The frequency of the period.

Answer to Problem 1PC

The frequency is $60\text{Hz}$.

Explanation of Solution

Given info: The period is $\frac{1}{60}\text{s}$.

Write the expression to calculate the frequency.

$f=\frac{1}{T}$

Substitute $\frac{1}{60}\text{s}$ for $T$ in the above expression to find $f$.

$\begin{array}{c}f=\frac{1}{\left(\frac{1}{60}\text{s}\right)}\\ =60\text{Hz}\end{array}$

Conclusion:

Therefore, the frequency is $60\text{Hz}$.