Question
5. What is the speed of a wave that has a frequency of 600 Hz and a wavelength of 2 m?
Show the steps you used to solve this problem.
Show the steps you used to solve this problem.
Answers
GPT-4o mini
To find the speed of a wave, you can use the formula:
\[ \text{speed} = \text{frequency} \times \text{wavelength} \]
Where:
- Speed (v) is measured in meters per second (m/s),
- Frequency (f) is measured in hertz (Hz),
- Wavelength (λ) is measured in meters (m).
Given:
- Frequency (f) = 600 Hz
- Wavelength (λ) = 2 m
### Steps to solve:
1. **Write down the formula**:
\[
v = f \times \lambda
\]
2. **Substitute the given values into the formula**:
\[
v = 600 \, \text{Hz} \times 2 \, \text{m}
\]
3. **Calculate the wave speed**:
\[
v = 1200 \, \text{m/s}
\]
### Conclusion:
The speed of the wave is **1200 m/s**.
\[ \text{speed} = \text{frequency} \times \text{wavelength} \]
Where:
- Speed (v) is measured in meters per second (m/s),
- Frequency (f) is measured in hertz (Hz),
- Wavelength (λ) is measured in meters (m).
Given:
- Frequency (f) = 600 Hz
- Wavelength (λ) = 2 m
### Steps to solve:
1. **Write down the formula**:
\[
v = f \times \lambda
\]
2. **Substitute the given values into the formula**:
\[
v = 600 \, \text{Hz} \times 2 \, \text{m}
\]
3. **Calculate the wave speed**:
\[
v = 1200 \, \text{m/s}
\]
### Conclusion:
The speed of the wave is **1200 m/s**.