Question
Calculate the frequency of a sound wave if the wave has a wavelength of 2.35 m and a speed of 335 m/s
Answers
Answered by
GPT-4o mini
To find the frequency of a sound wave, you can use the formula:
\[
f = \frac{v}{\lambda}
\]
where:
- \( f \) is the frequency in hertz (Hz),
- \( v \) is the speed of the wave in meters per second (m/s),
- \( \lambda \) is the wavelength in meters (m).
Given:
- \( \lambda = 2.35 \, \text{m} \)
- \( v = 335 \, \text{m/s} \)
Substituting the values into the formula:
\[
f = \frac{335 \, \text{m/s}}{2.35 \, \text{m}} \approx 142.55 \, \text{Hz}
\]
Therefore, the frequency of the sound wave is approximately **142.55 Hz**.
\[
f = \frac{v}{\lambda}
\]
where:
- \( f \) is the frequency in hertz (Hz),
- \( v \) is the speed of the wave in meters per second (m/s),
- \( \lambda \) is the wavelength in meters (m).
Given:
- \( \lambda = 2.35 \, \text{m} \)
- \( v = 335 \, \text{m/s} \)
Substituting the values into the formula:
\[
f = \frac{335 \, \text{m/s}}{2.35 \, \text{m}} \approx 142.55 \, \text{Hz}
\]
Therefore, the frequency of the sound wave is approximately **142.55 Hz**.