To solve for the frequency of a wave, we use the formula:
[tex]\[ \text{frequency} = \frac{\text{wave speed}}{\text{wavelength}} \][/tex]
We are given:
- The speed of the wave ([tex]\( \text{wave speed} \)[/tex]) is 150 m/s
- The wavelength ([tex]\( \text{wavelength} \)[/tex]) is 50 m
Step-by-step solution:
1. Identify the given values:
[tex]\[ \text{wave speed} = 150 \,\text{m/s} \][/tex]
[tex]\[ \text{wavelength} = 50 \,\text{m} \][/tex]
2. Substitute the given values into the formula for frequency:
[tex]\[ \text{frequency} = \frac{150}{50} \][/tex]
3. Perform the division:
[tex]\[ \text{frequency} = 3 \][/tex]
Therefore, the frequency of the wave is 3.
