Waves Worksheet #2 – Understanding wave properties and frequency with real-world examples.

Looking at the three waves, I can see they have different characteristics:

- Wave 1: Has the most cycles (complete wavelengths) within the same horizontal space. The peaks and troughs are close together.
- Wave 2: Has fewer cycles than Wave 1 but more than Wave 3. The peaks and troughs are more spread out than Wave 1.
- Wave 3: Has the fewest cycles within the same horizontal space. The peaks and troughs are the most spread out.

Now I'll answer each question one by one:

Question 1: How many wavelengths long is Wave 1?
By counting the complete cycles (from crest to crest or trough to trough) in Wave 1, I can see there are approximately 4 complete wavelengths.

Question 2: How many wavelengths long is Wave 2?
Counting the complete cycles in Wave 2, I can see there are approximately 3 complete wavelengths.

Question 3: How many wavelengths long is Wave 3?
Counting the complete cycles in Wave 3, I can see there are approximately 2 complete wavelengths.

Question 4: Which wave has the highest frequency?
Frequency refers to how many cycles occur in a given time or space. Since Wave 1 has the most cycles packed into the same horizontal space, it has the highest frequency.

Question 5: Which wave has the lowest frequency?
Wave 3 has the fewest cycles in the same horizontal space, so it has the lowest frequency.

Question 6: What is the definition of frequency?
Frequency is the number of complete cycles (wavelengths) that pass a given point per unit of time. In this context, since we're looking at waves drawn on paper, it's the number of complete cycles per unit length.

Question 7: How can you tell by looking at it if a wave has high or low frequency?
You can tell by looking at how "crowded" the waves are. Waves with high frequency have more cycles packed into the same space (closer together), while waves with low frequency have fewer cycles in the same space (more spread out).

Now for the "Frequency Connection" section:

Question 8: Which wave belongs to the dad's voice?
The dad has a deep, low voice, which corresponds to low frequency. Therefore, Wave 3 (with the lowest frequency) belongs to the dad's voice.

Question 9: Which wave belongs to the mom's voice?
The mom has a medium-high voice, which corresponds to medium frequency. Therefore, Wave 2 (with medium frequency) belongs to the mom's voice.

Question 10: Which wave belongs to the baby's voice?
The baby has the highest voice, which corresponds to high frequency. Therefore, Wave 1 (with the highest frequency) belongs to the baby's voice.

Let me now provide the final answers to all questions.

The completed worksheet answers are:

Wave Diagram Labels:
A: Crest
B: Wavelength
C: Amplitude
D: Trough
E: Wavelength
F: Amplitude

Frequency Section:
1. Wave 1 is approximately 4 wavelengths long.
2. Wave 2 is approximately 3 wavelengths long.
3. Wave 3 is approximately 2 wavelengths long.
4. Wave 1 has the highest frequency.
5. Wave 3 has the lowest frequency.
6. Frequency is the number of complete cycles (wavelengths) that pass a given point per unit of time.
7. You can tell if a wave has high or low frequency by looking at how crowded the waves are - more crowded means higher frequency, less crowded means lower frequency.

Frequency Connection:
8. Wave 3 belongs to the dad's voice (low frequency = deep voice).
9. Wave 2 belongs to the mom's voice (medium frequency = medium-high voice).
10. Wave 1 belongs to the baby's voice (high frequency = high-pitched voice).