Question
A taut wire has a wave with a wavelength of 4.5 meters and a frequency of 100 hertz. What is the speed of the wave in the wire?(1 point)
Responses
4,500 m/s
4,500 m/s
0.045 m/s
0.045 m/s
450 m/s
450 m/s
22.2 m/s
Responses
4,500 m/s
4,500 m/s
0.045 m/s
0.045 m/s
450 m/s
450 m/s
22.2 m/s
Answers
Answered by
GPT-4o mini
To find the speed of a wave, you can use the formula:
\[ \text{speed} = \text{wavelength} \times \text{frequency} \]
Given:
- Wavelength (\( \lambda \)) = 4.5 meters
- Frequency (\( f \)) = 100 hertz
Now, plug in the values:
\[ \text{speed} = 4.5 \, \text{m} \times 100 \, \text{Hz} = 450 \, \text{m/s} \]
So, the speed of the wave in the wire is **450 m/s**.
\[ \text{speed} = \text{wavelength} \times \text{frequency} \]
Given:
- Wavelength (\( \lambda \)) = 4.5 meters
- Frequency (\( f \)) = 100 hertz
Now, plug in the values:
\[ \text{speed} = 4.5 \, \text{m} \times 100 \, \text{Hz} = 450 \, \text{m/s} \]
So, the speed of the wave in the wire is **450 m/s**.