A wave has a frequency of 0.40 Hz and a cycle lengthof 7.0 m. What is the wave speed?

1. ### Break Down the Problem

We need to find the wave speed given the frequency and cycle length (wavelength).

2. ### Relevant Concepts

The wave speed $v$ can be calculated using the formula: $v = f \cdot \lambda$ where:

• $v$ is the wave speed,
• $f$ is the frequency,
• $\lambda$ is the wavelength.

3. ### Analysis and Detail

Here, we have:

• Frequency $f = 0.40 \, \text{Hz}$
• Wavelength $\lambda = 7.0 \, \text{m}$

Now, we can plug in the values into the formula: $v = 0.40 \, \text{Hz} \cdot 7.0 \, \text{m}$

4. ### Verify and Summarize

Calculating: $v = 0.40 \cdot 7.0 = 2.8 \, \text{m/s}$

Final Answer

The wave speed is $2.8 \, \text{m/s}$.