WVC PHYS222 Winter 2019 Lab #6.docx - Standing Waves in a String Max Stevens Luke Corbin ABSTRACT The purpose of this lab is to explore standing waves

WVC PHYS222 Winter 2019 Lab #6.docx - Standing Waves in a...

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Standing Waves in a String Max Stevens Luke Corbin 2/13/2019 ABSTRACT: The purpose of this lab is to explore standing waves and what conditions standing waves occur under by recreating those conditions. INTRODUCTION: A wave is a disturbance that transports energy through a medium. There are two types of waves. Transverse waves, or waves where particles on the medium move perpendicular to the direction of the wave, are the waves that are exhibited in this lab. For the purposes of this lab, a piece of the medium the wave is travelling through exhibits simple harmonic motion. Waves have amplitude and frequency, where amplitude is the maximum distance particles in the material are displaced when the wave passes by them, and frequency is the number of full lengths of waves, or wavelengths, pass by a single point in a certain amount of time, usually a second. In this lab, an vibrator attached to a string held at a tension causes a wave to travel down the string, and the wave reflects off of the fixed end of the string, and travels back across the string. When a wave reflects off of a fixed boundary, the wave is inverted. The reflected wave then interferes with the waves coming directly from the vibrator. The amplitude of two waves interfering is the sum of the amplitudes of the two waves. When two opposing waves with the same amplitude and natural frequency interfere with each other, a standing wave is produced, as is pictured in Figure 1:
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Figure 1, Source: Lab Book In a standing wave, the points where the waves appear to cross are called nodes, and the points where the waves appear to have a maximum amplitude are called antinodes. The natural frequency required to produce a standing wave is a function of the number of standing waves, the length of the string, and the velocity of a wave on the string. The velocity of the wave is a function of the tension and the linear mass density of the string. In this lab, standing waves are produced by adding weight to the end of the string, to change the tension in the string, so that the natural frequency for a number of standing waves matches the frequency of the vibrator producing the waves. THEORY: Symbols used in this lab: λ = wavelength. This is measured in meters (m). Wavelength is the distance from a particle on a wave to the nearest particle of the same y value. Simply put, the length of a wave.
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  • Fall '18
  • Bruce Unger
  • Wavelength, Standing wave

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