A wave is travelling on a string in the x direction. The two graphs show the variation with distance x of the displacement y of the string. Graph 1 corresponds to time t = 0 and graph 2 to time t = 0.20 s. Graph 1 (t=0) direction of travel 1.5- y/ mm 1.0- 0.5- 0.0- |10 x/ cm -0.5 -1.0- -1.5- Graph 2 (1=0.20 s) direction of travel 1.5 y / mm 1.0- 0.5 0.0- 10 x/ cm -0.5 -1.0- -1.5 The period of the wave is longer than 0.20 s.
A wave is travelling on a string in the x direction. The two graphs show the variation with distance x of the displacement y of the string. Graph 1 corresponds to time t = 0 and graph 2 to time t = 0.20 s. Graph 1 (t=0) direction of travel 1.5- y/ mm 1.0- 0.5- 0.0- |10 x/ cm -0.5 -1.0- -1.5- Graph 2 (1=0.20 s) direction of travel 1.5 y / mm 1.0- 0.5 0.0- 10 x/ cm -0.5 -1.0- -1.5 The period of the wave is longer than 0.20 s.
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Question
Using the attached graphs depicting a wave, find the:
a. amplitude
b. frequency
c. speed
Transcribed Image Text:The text explains the behavior of a wave traveling on a string along the x direction. The two graphs illustrate the displacement \( y \) of the string against the distance \( x \). Graph 1 depicts the wave at time \( t = 0 \), while Graph 2 shows it at \( t = 0.20 \) seconds.
### Graph 1 (\( t=0 \))
- **Axes**: The vertical axis represents the displacement \( y \) in millimeters (mm), ranging from -1.5 mm to 1.5 mm. The horizontal axis represents the distance \( x \) in centimeters (cm), ranging from 0 to 10 cm.
- **Wave Characteristics**: The wave starts at \( y = 0 \) mm when \( x = 0 \) cm, reaching its minimum at \( y = -1.5 \) mm around \( x = 5 \) cm, and peaks again at \( y = 1.5 \) mm near \( x = 10 \) cm.
- **Direction**: An arrow indicates the wave's direction of travel along the positive x axis.
### Graph 2 (\( t=0.20 \) s)
- **Axes**: The axes are the same as Graph 1, with \( y \) in mm and \( x \) in cm.
- **Wave Characteristics**: At this time, the wave’s maximum displacement of \( y = 1.5 \) mm occurs around \( x = 2.5 \) cm, and minimum displacement of \( y = -1.5 \) mm occurs around \( x = 7.5 \) cm.
- **Direction**: The direction of travel is the same as in Graph 1.
**Conclusion**: The period of the wave is longer than 0.20 seconds, as inferred from the spatial shift of the wave peaks and troughs between the two graphs.
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