## Related questions with answers

You are testing a sonar machine underwater by sen ding out sound waves to measure distances. Using the graphical representations shown for the wave, find the amplitude, frequency, wavelength, and speed of the wave, and write a mathematical representation of the wave.

Solution

Verified**Requirement**

In this exercise, we have two labelled graphical representation of a wave. We have to use the information they provide to us to write the wave's mathematical representation.

**Key concept**

Mathematic representation of a wave has two dependence equation that describe it:

- Dependence on position, which follows the formula:

$\begin{align} \mathrm{y(x)}=\mathrm{A \cdot \sin \left(\frac{2\pi \cdot x}{\lambda}\right)} \end{align}$

- Dependence on time, which follows the formula:

$\begin{align} \mathrm{y(x)}=\mathrm{A \cdot \sin \left(2\pi \cdot f \cdot t\right)} \end{align}$

All we have to do is find the values of parameters and simply insert them into their respective equations.

There is also one more parameter we need, and that is **period**, which is:

$\begin{align} \mathrm{T=\frac{1}{f}} \end{align}$

which represents the point at which **the cycle repeats**. This will be relevant later.

## Create a free account to view solutions

## Create a free account to view solutions

## Recommended textbook solutions

#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th Edition•ISBN: 9780133942651 (8 more)Randall D. Knight#### Mathematical Methods in the Physical Sciences

3rd Edition•ISBN: 9780471198260 (1 more)Mary L. Boas#### Fundamentals of Physics

10th Edition•ISBN: 9781118230718 (3 more)David Halliday, Jearl Walker, Robert Resnick## More related questions

1/4

1/7