Find the speed of the sound wave? The time from the beginning to the end of the wave train is 1 second. Wavelength of the wave is 3 cm.

1. ### Break Down the Problem

To find the speed of a sound wave, we will use the formula: $\text{Speed} = \text{Wavelength} \times \text{Frequency}$ We need to determine the frequency which can be found using the time taken for one complete wave train.

2. ### Relevant Concepts

1. Frequency (f) can be calculated as the reciprocal of the time period (T): $f = \frac{1}{T}$ where $T$ is the total time for the wave train.

2. Given:

   • Time period (T) = 1 second
   • Wavelength ($\lambda$) = 3 cm = 0.03 m (conversion from centimeters to meters)

3. ### Analysis and Detail

1. Calculate the frequency: $f = \frac{1}{1 \text{ s}} = 1 \text{ Hz}$

2. Now, substitute the values we have into the speed formula: $\text{Speed} = \lambda \times f = 0.03 \text{ m} \times 1 \text{ Hz} = 0.03 \text{ m/s}$

4. ### Verify and Summarize

We have calculated all necessary values, and they conform to the units involved. The speed of the sound wave can now be clearly summarized.

Final Answer

The speed of the sound wave is $0.03 \, \text{m/s}$.