This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction. Assume that it is described by a frequency of 56.5 cycles per second, or hertz (Hz). A sinusoidal wave lies on an unlabeled coordinate system. One of the wave's maxima lies on the vertical axis. The horizontal distance from the first maximum to the first minimum is labeled 3.60 cm and the vertical distance between a maximum and a minimum is labeled 5.77 cm. a) What is the wave's amplitude (in cm)?                    cm b) What is the wavelength (in cm)?                     cm c) Calculate the wave's period (in s).                        (d) Compute the speed of this wave (in m/s).  m/s

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Chapter1: Units, Trigonometry. And Vectors
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This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction. Assume that it is described by a frequency of 56.5 cycles per second, or hertz (Hz).

A sinusoidal wave lies on an unlabeled coordinate system. One of the wave's maxima lies on the vertical axis. The horizontal distance from the first maximum to the first minimum is labeled 3.60 cm and the vertical distance between a maximum and a minimum is labeled 5.77 cm.

a)
What is the wave's amplitude (in cm)?
                   cm
b)
What is the wavelength (in cm)?
                    cm
c)
Calculate the wave's period (in s).
                      
(d)
Compute the speed of this wave (in m/s).
 m/s
 
The image displays a sinusoidal wave graph, which is commonly used to represent periodic phenomena. Here's a detailed explanation:

### Description of the Graph

- **Waveform**: The graph illustrates a sine wave extending across two complete cycles in an upward and downward pattern.
- **Axes**: There is a vertical axis (y-axis) and a horizontal axis (x-axis) at the origin point.

### Key Features

- **Amplitude**: The vertical distance from the centerline of the wave to the peak (or trough) is marked with arrows. This represents the amplitude, which is the maximum displacement from the equilibrium position.
- **Wavelength/Period**: The horizontal distance from one crest to the next is indicated by a double-headed arrow along the x-axis. This measures the wavelength (if in space) or the period (if in time), representing the length of one complete cycle.
- **Equilibrium Position**: A horizontal line bisects the wave, indicating the central, equilibrium position around which the wave oscillates.

This diagram is instrumental in teaching concepts related to wave mechanics, such as frequency, amplitude, and periodic motion.
Transcribed Image Text:The image displays a sinusoidal wave graph, which is commonly used to represent periodic phenomena. Here's a detailed explanation: ### Description of the Graph - **Waveform**: The graph illustrates a sine wave extending across two complete cycles in an upward and downward pattern. - **Axes**: There is a vertical axis (y-axis) and a horizontal axis (x-axis) at the origin point. ### Key Features - **Amplitude**: The vertical distance from the centerline of the wave to the peak (or trough) is marked with arrows. This represents the amplitude, which is the maximum displacement from the equilibrium position. - **Wavelength/Period**: The horizontal distance from one crest to the next is indicated by a double-headed arrow along the x-axis. This measures the wavelength (if in space) or the period (if in time), representing the length of one complete cycle. - **Equilibrium Position**: A horizontal line bisects the wave, indicating the central, equilibrium position around which the wave oscillates. This diagram is instrumental in teaching concepts related to wave mechanics, such as frequency, amplitude, and periodic motion.
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