Question: Experiment 1: Standing Waves On A String Discuss Sources Of Error That Could Affect Your Results In This Experiment. What Additional Steps Couldbe Taken To Compensate For This Error? Write Out Your Answer In A Clear And Well Supported Paragraph Based On Your Experimental Results, How Does The Number Of Segments In A Standing Wave Vary Withthe Tension In The String When The Frequency Is Constant?

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How Well Do Your Measurements Matchthe Theoretical Relationship Between Number Of Segments And String Tension?Write Out Your Answer In A Clear And Well Supported Paragraph Suppose That You Repeated Part A Of The Experiment With A Steel Wire (ρ = 7880 Kg/m3) Instead Of The Braided Dacron String (ρ = 1350 Kg/m3) That You Used. If They Have The Same Diameter, Would You Expect To Need More Or Less Tension To See The Same Number Of Segments? Give An Estimate Of How Much Tension Would Be Needed For The Fundamental Frequency. Write Out Your Answer In A Clear And Well Supported Paragraph.

Experiment 1: Standing Waves on a StringDiscuss sources of error that could affect your results in thisexperiment. What additional steps couldbe taken to compensate forthis error? Write out your answer in a clear and well supportedparagraphBased on your experimental results, how does the number ofsegments in a standing wave vary withthe tension in the string whenthe frequency is constant?

How well do your measurements matchthetheoretical relationship between number of segments and stringtension?Write out your answer in a clear and well supportedparagraphSuppose that you repeated Part A of the experiment with a steelwire (ρ = 7880 kg/m3) instead of the braided dacron string (ρ =1350 kg/m3) that you used. If they have the same diameter, wouldyou expect to need more or less tension to see the same number ofsegments? Give an estimate of how much tension would be needed forthe fundamental frequency. Write out your answer in aclear and well supported paragraph.Expert Answer.

The purpose of this experimentis to investigate the behavior of standing waves caused by an external force toinitiate a transverse wave on a string. Standing wave occurs when an originalwave and a reflected wave superpose. Standing waves have constant wavepattern, and the amplitude of the points on the wave are changing. The onlypoints that are not changing in a standing wave are nodes.

EXAMPLE OF A WELL WRITTEN LAB REPORT FOR. PHYSICS 1030L/1040L. 26 June 2012 STANDING WAVES ON A STRING James A. Objective: To find the relationship between the velocity and wave length of standing. Waves on a string as well as to find the relationship between string tension, velocity. In this experiment, standing waves will be observed in a vibrating string. The wavelengths of the waves and the tension in the string will be measured. From these measurements and the frequency of the wave, the mass per unit length of the string will be determined.

Node is half of thewavelength. The relationship between the length of the string (L), number ofhalf wavelengths or loops (n), and wavelength (λ) is indicated. The experiment was conductedusing various apparatus such as variable frequency wave driver, function generator,200g and 50g weight hanger, table clamps, rod, pendulum clamp, pulley,multimeter, and a meter stick.

The mass and length of the string were recordedto determine its mass density, μ. One end of the string was attached to a 200gweight hanger, and the other end was tied to the clamp.

The length or distancebetween each end was measured to be 1.2m. The string wave driver which wasconnected with the function driver was put 10cm away from the pendulum clamp.The function generator was set to 5.0 voltages, and the frequency was adjustedto get a certain number of loops. Frequencies with respective number of loopswere recorded. The procedure was repeated using 50g weight hanger in place of200g. The wavelength and velocity were computed based on the data.

Two graphswere constructed, and the velocity obtained from the graph was compared withthat from computation. As shown in table 1 and graph 1, thewave speeds from computation and from the graph were approximately 40.0 m/s and46.04 m/s.

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Even though these values did not agree within the uncertainties, theseresults were very similar. In same manner, the wave speeds were 20.0m/s and24.34 m/s respectively when 50g hanging mass was used. These results were shownin table 2 and graph 2.

Again, these values were not within the uncertainties. Incolumn 2 and 3 of table 1 and 2, the comparison between the recordedfrequencies and the computed frequencies were shown. The frequencies on column3 were a factor of the first recorded frequency, and these should have been thesame with the recorded frequencies.

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However, column 2 and 3 values were notagreed within the uncertainties. As wavelength decreased, larger deviation fromthe recorded frequencies was observed. According to table 4, the ratios ofwave speed computed based on data and graph were approximately 2. Even thoughthe ratios were not exactly the same, they highly agreed with each other. Thisresult was confirmed by the equation 3 mentioned in the introduction. Sincevelocity was proportional to square root of tension, velocity had to decreaseby a factor of 2 when tension decreased by a factor of 4.

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In table 3, it was shown that the ratio of ƒ 1and ƒ 2 were approximately 2. Even though the ratio changed a littlefor different loop numbers, the ratio maintained fairly constant.

This wasreasonable because frequency and velocity were directly proportional accordingto the equation 2. Therefore, as velocity increased by a factor of 2, so didthe frequency. There were a lot of possible experimental errors that could cause the above compared values not to agree within uncertainties. First, there was an inaccuracy in adjusting frequencies to obtain an exact number of loops. As thefrequency was raised to higher value to obtain more nodes, the wave becameharder to visible. Another factor influenced the experimental result was thatthe loop should be counted starting from the wave driver, but the loop was counted fromthe point of the clamp where the string was tied. This was shown in figure 2.

If the number of loops wascounted from the wave driver, the frequency could change. Therefore, thesefactors could contribute to inaccurate values of frequency which then led toinaccurate wave speed. In addition, the hanging mass did not remain stablethroughout the experiment. This vibration in hanging mass could also cause avariation of tension in the string. Approximation in reading the length of thestring also contributed to these errors. All of these led to inaccuracy incalculations of wavelength and velocities.