Question

1.What is the difference between longitudinal and transverse waves? Compare and contrast the direction of their movement, movement of a molecule through the completion of a cycle, and amplitude and wavelength measurements of each type of wave.2.Suppose that a wave has a period of 0.03 second. What’s its frequency? Be sure to show the steps for your work.3.Compare a wave that has a period of 0.03 second with a second wave that has a period of 1⁄4 second. Which wave has the greater frequency? Be sure to show the steps for your work.4.If a wave has a wavelength of 4.5 meters and a period of 0.007 second, what’s the velocity of the wave? Be sure to show the steps of your work.5.Using the image below, identify the numbered parts of the wave.

Answer 1

We will have the following:

1.

*Longitudinal wave: The oscillations where the particles are displaced are parallel to the wave direction.

*Transverse wave: The oscillations where the particles are displaced are perpendicular to the wave direction.

2. If a wave has a period of 0.03s, then its frequency is:

$f=\frac{1}{T}\Rightarrow f=\frac{1}{0.03}\Rightarrow f=\frac{100}{3}Hz$

So, its frequency will be of 100/3 Hertz.

3. We will have that the periods in questions are 0.03s & 0.25s. And their frequencies are:

$\begin{gathered} f_1=\frac{1}{0.03s}\Rightarrow f_1=\frac{100}{3}Hz \\ \\ f_2=\frac{1}{0.25s}\Rightarrow f_2=4Hz \end{gathered}$

From this we can see that the greater frequency numerically will be 4Hertz, and that one belongs to the wave with a period of 0.25s.

4. We will have that the velocity is:

$v=\lambda\ast f\Rightarrow v=(4.5m)(\frac{1}{0.007s})$$\Rightarrow v=\frac{4500}{7}m/s\Rightarrow v\approx642.9m/s$

So, the velocity of the wave is approximately 642.9 m/s.

5.

*1: Period.

*2: Crest.

*3. Trough.

*4: Amplitude.