standing waves-1-1

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University of South Florida *

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2049L

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Physics

Date

Apr 3, 2024

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xlsx

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5

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(empty) velocity 20.6 2.8 57.68 42.5 1.48 62.9 65.9 0.98 64.582 89.7 1.46 130.962 106.6 0.6 63.96 Frequenc y, f (Hz) Waveleng th, ƛ (m)
Mass of the object (M): 0.5kg Mass of the string (m): 0.03kg Length of the string (L): 2m Mass per unit length: 1.87*10^-3kg/m Force of tension: 4.905 Mode No. Frequency, f (Hz) 55.50243 15.0144 20.62259 20.47334 0.644233 20.70428 1 20.6 7.243315 4 3104.971 1714.669 2 42.5 3 65.9 4 89.7 5 106.6 Graph here! Calculated Velocity (V calc ): Table to obtain an experimental velocity (V exp ): Name(s): pu chen Show your work! V= √(𝒕𝒆𝒏𝒔𝒊𝒐𝒏/(𝒎𝒂𝒔𝒔 𝒑𝒆𝒓 𝒖𝒏𝒊𝒕 𝒍𝒆𝒏𝒈𝒕𝒉))=√((𝟒.𝟗𝟎𝟓)/(𝟏.𝟖 80 100 120 f(x) = 56.31084 R² = 0.6525557 ncy
55.5 m/s Percentage difference (%): 6.90% . Experimental velocity(V exp ): Graphical analysis to determine the velocity here! velocity=frequency*Wavelength 1. 20.6*2,8= 57.680 m/s 2. 42.5*1.48=62.9 m/s 3. 65.49*0.98=64.58 m/s 4. 89.7*1.46=130.96 m/s 5.106.6*0.6=63.96 m/s Summarize the lab. Include the values you obtained for the t difference. Also, mention poFor this experiment, we came to the conclu wavelength. In comparison to the results for the experiment similar to k0, but we can see that our results were not nearly measured the distance between nodes, causing a significant ssible sources of error in your experiment. 0.2 0.4 0.6 0 20 40 60 Frequen
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Frenquenc1/ƛ (1/m) 1.4 2.8 0.357142857 20.6 0.357143 42.5 0.675676 0.74 1.48 0.675675676 65.9 1.020408 89.7 0.684932 0.49 0.98 1.020408163 65.9 1.020408 106.6 1.666667 0.73 1.46 0.684931507 0.3 0.6 1.666666667 Distance between the nodes, l (m) Wavelength, ƛ (m) 1/ƛ (1/m) Standing Waves 𝟖𝟕∗𝟏𝟎^−𝟑))=𝟓𝟏.𝟖𝟗𝒎/𝒔 404228104 x + 15.4521219355075 717405569 Frequency vs.1//ƛ
two velocities, mass per unit length, tension on the string, and percentage usion that when the velocity is inversely related to the frequency and t of the vexp=55.5m/s to vtheo= 51.89 m/s, the percent error was 6.9%. vexp are y as close as they could have been. The possible reason is we manually deviation in wavelength. 0.8 1 1.2 1.4 1.6 1.8 1//ƛ