What is the phase constant? Suppose that the phase constant is between -180° and 180°. (Amplitude is found to be 20 cm and the frequency is found to be .125 Hz)
What is the phase constant? Suppose that the phase constant is between -180° and 180°. (Amplitude is found to be 20 cm and the frequency is found to be .125 Hz)
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What is the phase constant? Suppose that the phase constant is between -180° and 180°. (Amplitude is found to be 20 cm and the frequency is found to be .125 Hz)
Transcribed Image Text:The image shows a graph depicting a sinusoidal wave, which represents a periodic function. The graph illustrates the displacement \( x \) in centimeters along the vertical axis and the time \( t \) in seconds along the horizontal axis.
**Graph Explanation:**
- **Vertical Axis (Displacement):** The displacement \( x \) is measured in centimeters (cm). The values range from -20 cm to 20 cm.
- **Horizontal Axis (Time):** The time \( t \) is measured in seconds (s). The values range from 0 to 8 seconds, with increments marked at 2, 4, 6, and 8 seconds.
- **Wave Pattern:** The wave starts at approximately 9 cm at \( t = 0 \), decreases to a minimum of about -20 cm at \( t = 2 \) seconds, rises to a maximum of around 20 cm at \( t = 6 \) seconds, and then decreases again. This pattern demonstrates smooth oscillations typical of harmonic motion.
This graph could represent various physical phenomena, such as oscillations in a pendulum or alternating current (AC) voltage in electrical engineering. The periodic nature of the wave makes it essential for studies in physics and engineering to understand harmonic motion and wave properties.
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