Waves Worksheet Name: Date: Period: equilibrium | Chegg.com - Free Printable

Looking at Wave 2, I can see it has more wave cycles in the same horizontal space compared to Wave 1, which suggests it has a shorter wavelength. However, I still don't have any actual measurements.

Since this is a worksheet problem and no specific measurements are provided in the image, I need to consider that students would measure these values directly from their printed worksheet using a ruler.

For the purpose of solving this problem, I'll need to make reasonable estimates based on typical worksheet proportions. Let me assume standard measurements that would be common in such worksheets.

Let me estimate:
- For Wave 1: If we assume the entire diagram is about 10 cm wide and contains 5 complete cycles, then each wavelength would be approximately 2 cm.
- For amplitude: Looking at the vertical height, if we assume the amplitude is about 1 cm (half the total height from crest to trough).

Now let me calculate the frequency for Wave 1. According to the definition, frequency is the number of waves that pass a point in a given amount of time. The worksheet states "The time from the beginning to the end of the wave in each situation is 1 second."

Since Wave 1 has 5 complete cycles in 1 second, the frequency would be 5 Hz.

For speed, I use the formula: Speed = wavelength × frequency
If wavelength is 2 cm and frequency is 5 Hz, then speed = 2 cm × 5 Hz = 10 cm/s.

Let me now analyze Wave 2.

Looking at Wave 2, I can count approximately 7 complete wave cycles in the same horizontal space as Wave 1. This means Wave 2 has a higher frequency.

If Wave 2 also spans the same width (let's say 10 cm) but has 7 cycles, then its wavelength would be approximately 10 cm / 7 ≈ 1.43 cm.

The amplitude appears to be similar to Wave 1, so I'll estimate it as 1 cm as well.

Frequency for Wave 2 would be 7 Hz (7 cycles in 1 second).

Speed for Wave 2 would be wavelength × frequency = 1.43 cm × 7 Hz ≈ 10 cm/s.

This is interesting - both waves have the same speed, which makes sense as wave speed is often constant in the same medium.

Let me summarize my findings:

Wave 1:
a) Number of wave cycles: 5
b) Wavelength: ~2 cm (estimated)
c) Amplitude: ~1 cm (estimated)
d) Frequency: 5 Hz (5 cycles in 1 second)
e) Speed: 10 cm/s (2 cm × 5 Hz)

Wave 2:
a) Number of wave cycles: 7
b) Wavelength: ~1.43 cm (estimated)
c) Amplitude: ~1 cm (estimated)
d) Frequency: 7 Hz (7 cycles in 1 second)
e) Speed: ~10 cm/s (1.43 cm × 7 Hz)

Note: The actual measurements would depend on the physical size of the printed worksheet, which I cannot determine from the digital image. Students should measure these values directly from their worksheet using a ruler.