Certainly! To determine the frequency of a sound wave, we use the formula:
[tex]\[ \text{Frequency} = \frac{\text{Speed of Sound}}{\text{Wavelength}} \][/tex]
Given:
- The speed of sound [tex]\( v = 90 \text{ meters per second} \)[/tex].
- The wavelength [tex]\( \lambda = 6 \text{ meters} \)[/tex].
Now, plug these values into the formula:
[tex]\[ \text{Frequency} = \frac{90 \text{ m/s}}{6 \text{ m}} \][/tex]
[tex]\[ \text{Frequency} = 15 \text{ Hz} \][/tex]
### Step-by-Step Solution:
1. Identify the given values:
- Speed of sound (v) = 90 m/s
- Wavelength (λ) = 6 m
2. Write down the formula for frequency (f):
[tex]\[ f = \frac{v}{\lambda} \][/tex]
3. Substitute the given values into the formula:
[tex]\[ f = \frac{90 \text{ m/s}}{6 \text{ m}} \][/tex]
4. Perform the division:
[tex]\[ f = 15 \text{ Hz} \][/tex]
The frequency of the sound wave is 15 Hertz (Hz).
