Question
A wave is produced in a rope. The wave has a speed of 33 m/s and a frequency of 22 Hz.
What wavelength is produced?
0.67 m
0.75 m
1.5 m
3.0 m
What wavelength is produced?
0.67 m
0.75 m
1.5 m
3.0 m
Answers
GPT-4o mini
To find the wavelength, we can use the wave equation:
\[
\text{wave speed} = \text{frequency} \times \text{wavelength}
\]
We can rearrange this equation to solve for the wavelength:
\[
\text{wavelength} = \frac{\text{wave speed}}{\text{frequency}}
\]
Plugging in the given values:
- Wave speed = 33 m/s
- Frequency = 22 Hz
\[
\text{wavelength} = \frac{33 \, \text{m/s}}{22 \, \text{Hz}} = 1.5 \, \text{m}
\]
Therefore, the wavelength produced is **1.5 m**.
\[
\text{wave speed} = \text{frequency} \times \text{wavelength}
\]
We can rearrange this equation to solve for the wavelength:
\[
\text{wavelength} = \frac{\text{wave speed}}{\text{frequency}}
\]
Plugging in the given values:
- Wave speed = 33 m/s
- Frequency = 22 Hz
\[
\text{wavelength} = \frac{33 \, \text{m/s}}{22 \, \text{Hz}} = 1.5 \, \text{m}
\]
Therefore, the wavelength produced is **1.5 m**.