The wavelength of a sound wave is 8 m. The frequency of the sound wave is given as 50 Hz. Calculate the speed of sound?

1. Break Down the Problem

To calculate the speed of sound, we need to use the relationship between wavelength, frequency, and speed of a wave. The formula we will use is:

$v = f \times \lambda$

where:

• $v$ = speed of sound (m/s)
• $f$ = frequency (Hz)
• $\lambda$ = wavelength (m)

2. Relevant Concepts

The speed of sound can be determined using the above formula. In this case, we have:

• Wavelength ($\lambda$) = 8 m
• Frequency ($f$) = 50 Hz

3. Analysis and Detail

Now we will substitute the values into the formula:

$v = 50 \, \text{Hz} \times 8 \, \text{m}$

Calculating this gives us:

$v = 400 \, \text{m/s}$

4. Verify and Summarize

The calculation appears to be correct. We have multiplied the frequency by the wavelength to find the speed of sound.

Final Answer

The speed of sound is $400 \, \text{m/s}$.