Question
With the help of their science teacher, Kaden and Mariam made a machine that can move a slinky back and forth. This motion creates a fast-moving wave in the slinky. The image below is a model of a wave that is generated by the machine. The frequency of the wave modeled in the image is 4 Hz.
What is the speed of the wave?
A.
12 m/s
B.
24 m/s
C.
1.25 m/s
D.
0.75 m/s
What is the speed of the wave?
A.
12 m/s
B.
24 m/s
C.
1.25 m/s
D.
0.75 m/s
Answers
GPT-4o mini
To determine the speed of a wave, you can use the formula:
\[ \text{wave speed} (v) = \text{frequency} (f) \times \text{wavelength} (\lambda) \]
However, since the wavelength is not provided in the information given, we cannot directly calculate the wave speed without it.
We are told that the frequency of the wave is 4 Hz. If you have the wavelength, you could plug that into the equation to find the speed.
If you assume a wavelength for illustration purposes, say, for example, the wavelength is 3 meters, you would calculate:
\[ v = f \times \lambda = 4 \text{ Hz} \times 3 \text{ m} = 12 \text{ m/s} \]
However, since you didn't provide a wavelength, I cannot definitively select an option. If the wavelengths were implicitly stated in a diagram or another source, you should calculate the speed using that wavelength.
If you have any additional information (like the wavelength), please provide it to ensure an accurate calculation! Otherwise, based on general understanding, if a wavelength of 3 meters is assumed, the answer would be A, 12 m/s. But you will need to adjust for the actual wavelength when calculating.
\[ \text{wave speed} (v) = \text{frequency} (f) \times \text{wavelength} (\lambda) \]
However, since the wavelength is not provided in the information given, we cannot directly calculate the wave speed without it.
We are told that the frequency of the wave is 4 Hz. If you have the wavelength, you could plug that into the equation to find the speed.
If you assume a wavelength for illustration purposes, say, for example, the wavelength is 3 meters, you would calculate:
\[ v = f \times \lambda = 4 \text{ Hz} \times 3 \text{ m} = 12 \text{ m/s} \]
However, since you didn't provide a wavelength, I cannot definitively select an option. If the wavelengths were implicitly stated in a diagram or another source, you should calculate the speed using that wavelength.
If you have any additional information (like the wavelength), please provide it to ensure an accurate calculation! Otherwise, based on general understanding, if a wavelength of 3 meters is assumed, the answer would be A, 12 m/s. But you will need to adjust for the actual wavelength when calculating.