A sound wave travels at a speed of 340 m/s. If its wavelength is 1.5 m. What is the frequency of the wave?

1. Break Down the Problem

We need to find the frequency of a sound wave given its speed and wavelength. The relationship between speed (v), frequency (f), and wavelength (λ) is described by the formula: $v = f \cdot \lambda$ Here, we can isolate frequency: $f = \frac{v}{\lambda}$

2. Relevant Concepts

• Speed of the wave, $v = 340 \, \text{m/s}$
• Wavelength, $\lambda = 1.5 \, \text{m}$
• Formula to find frequency, $f = \frac{v}{\lambda}$

3. Analysis and Detail

To analyze the problem, we substitute the given values into the frequency formula: $f = \frac{340 \, \text{m/s}}{1.5 \, \text{m}}$

4. Verify and Summarize

Now, we calculate the frequency: $f = \frac{340}{1.5} = 226.67 \, \text{Hz}$

Final Answer

The frequency of the wave is approximately $226.67 \, \text{Hz}$.