Kendall Widdel - Lab 11

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Dec 6, 2023

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Name: Kendall Widdel E-mail address: kwiddel@vols.utk.edu Laboratory 11 Report The purpose of this experiment is to understand the differences between wave pulse and a periodic wave.  Observe this pulse and measure its speed in cm/s. (You can start and stop the pulse and use slow motion.) 4.8 cm/s  Vary (one at a time) amplitude, pulse width, damping, and tension, and describe what happens. When you decrease the amplitude, it decreases the strength of the wave. When you decrease the pulse width, it increases the speed. When you change the damping it affects the wave and causes it to disappear. When you change the tension from high to low it causes the wave to move at a slower rate.  Return to the original pulse but change the end first to a loose end and then to a fixed end and describe what happens. When I change the end to a loose end, it causes the wave to move all the way over to one side and then back the other way. When I change it to a fixed end the wave would go to the fixed end and then go under the dotted line.  Observe this wave (wave 1) and make measurements. Enter your measurements into the table. o Measure the amplitude of the wave in cm. o Measure the wavelength in cm. o Measure the period in s. o Find the speed of the wave in cm/s. wave 1 wave 2 wave 3 wave 4 wave 5

amplitude A 0.5 0.25 0.75 0.5 0.5 wavelength λ 4 5 5.2 7.2 4 period T 1 1 1 1 1 frequency f 1.5 1.5 1.5 1 2 speed v 6.1 6.1 6.1 6.1 6.1  Discuss the relationships between wavelength and frequency, period and frequency, amplitude and frequency and speed and frequency. Wavelength is dependent on frequency, when the frequency increases, the wavelength decreases and vise versa. There is no relationship between period and frequency.  Can you change the speed of the wave? What can you do to produce a wave that moves with approximately 1/4 the speed of wave 1. When you change the tension, it will also change the speed of the wave. Decrease the tension to ¼ to make the speed ¼  Describe what happens when you include damping. When you include damping, the wave disappears  Describe the wave. What is its maximum amplitude in cm? Does this maximum amplitude change when you change the frequency slider? The maximum amplitude is .5cm and this changes when the frequency is decreased.  Slowly increase the frequency. Wait several seconds to see what happens to the maximum displacement from equilibrium of the wave for each frequency setting.  For which frequencies between 0.75 Hz and 1.7 Hz is the maximum displacement from equilibrium largest (larger than that of the traveling wave)? In other words, for which frequencies do you hit resonance? What happens if you set the damping to zero at those frequencies?

The .85, 1.25, and 1.65 frequencies are the largest displacement from equilibrium. If you set the damping to zero at those frequencies it causes an increase.  What can you say about the wavelengths associated with those frequencies? The wavelengths increase overtime Experiment Clip f (Hz) L (m) λ (m) v = fλ (m/s) v 2 (m/s) 2 F (N) String 1 120 0.4 0.8 100 10016 2.2 String 2 120 0.6 0.6 69.8 4867.6 1.08 String 3 120 0.5 0.4 43.7 1911.1 0.4 Discussion This lab was an easier one to complete as the majority of it was discussion. It was easier to understand the purpose of this experiment when we had the simulator to visualize the experiment and it helped me understand the cause and effect of everything and the relationship that they share.

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