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Investigating Wave Properties, Resúmenes de Matemáticas Aplicadas

The fundamental concepts of waves, including their properties such as frequency, amplitude, and wavelength. It utilizes an interactive simulation to allow students to create and manipulate wave models, matching them to real-world water waves. The investigation also covers the distinction between transverse and longitudinal waves, and encourages students to explore the characteristics of each type of wave using physical equipment like a slinky or wave motion rope. The document aims to provide a comprehensive understanding of the nature of waves and their various properties, equipping students with the knowledge to analyze and interpret wave phenomena in different contexts.

Tipo: Resúmenes

2021/2022

Subido el 25/05/2022

kirlian-joel-reto-alvarez
kirlian-joel-reto-alvarez 🇵🇪

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Investigation 15A: Waves
Essential question: What is a wave and what are the properties of waves?
A wave is a traveling form of energy that carries oscillations from one place in space to another.
Sound and light are both waves and share characteristics of frequency and wavelength with familiar
water waves. This investigation will use a wave simulation to characterize the properties of
frequency, amplitude, and wavelength.
Part 1: Match a wave’s properties
1. Open the interactive simulation. You will
create a mathematical model of a wave (red
line) to match the blue waves representing
water.
2. Adjust the amplitude and wavelength of your
model to match the blue wave.
3. Run and Pause the waves. Adjust the
frequency until the red circle bobbing in your
model matches the bobbing of the floating
ball.
Questions
a. Describe how changing the amplitude changes the wave.
b. Describe the effect of changing the wavelength.
c. Describe the effect of changing the frequency.
d. What are the frequency, amplitude, and wavelength of the blue water?
e. Draw a sketch showing the amplitude and wavelength of this wave.
f. Calculate the speed of the wave. Show your work.
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Investigation 15A: Waves

Essential question: What is a wave and what are the properties of waves? A wave is a traveling form of energy that carries oscillations from one place in space to another. Sound and light are both waves and share characteristics of frequency and wavelength with familiar water waves. This investigation will use a wave simulation to characterize the properties of frequency, amplitude, and wavelength. Part 1: Match a wave’s properties

  1. Open the interactive simulation. You will create a mathematical model of a wave (red line) to match the blue waves representing water.
  2. Adjust the amplitude and wavelength of your model to match the blue wave.
  3. Run and Pause the waves. Adjust the frequency until the red circle bobbing in your model matches the bobbing of the floating ball. Questions a. Describe how changing the amplitude changes the wave. b. Describe the effect of changing the wavelength. c. Describe the effect of changing the frequency. d. What are the frequency, amplitude, and wavelength of the blue water? e. Draw a sketch showing the amplitude and wavelength of this wave. f. Calculate the speed of the wave. Show your work. 1

Part 2: Transverse and longitudinal waves

  1. Hold one end of a Slinky® spring (or other long spring) and have your partner hold the other end. Stretch the spring a little bit so that it is not slack.
  2. Create transverse waves by moving your hand side-to-side.
  3. Create longitudinal waves by moving your hand sharply towards your partner.
  4. Repeat the above steps, but this time using a wave motion rope or other heavy string. Questions a. What are the differences between these two types of waves? Describe the characteristics of each in words. b. Can you make both types of waves on both pieces of equipment? Why or why not? c. Can you create waves of different velocities on both pieces of equipment? If so, how? d. Estimate the wavelength of the wave in the diagram below and graph its oscillations. Is this a transverse or a longitudinal wave? 2