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2)what is the slope of your trendline fit including units? Convert it to standar

ID: 1468885 • Letter: 2

Question

2)what is the slope of your trendline fit including units? Convert it to standard SI units for comparison with theoretical value above.(show your calculations below. 3)what is the percentage difference between the experimental slope of the graph and it's expected value? Based on the percentage difference that you calculate, does equation (V=sqrt T/mu) appear to be valid? Explain why or why not. mll1waves xls Home Insert Page Layout Formulas Data Review View PAMFAX Arial ) 9-1 Wrap Text Copy- Format Painter Clipboard B 1- B' s·A- f Alignment Merge &CenteEl; HE Merge & Center Font 1155 Estimated Wave On the chart below, V is ploted Speed versus the tension T. The reason Hanging String Distance Mass Tension T between Wave SpeedV squaredor this plor? Equation 2 pred cts 116 (kgrams) Newtons) Nodes (m) lenoth (m 117 0.025 0.245 118 0.045 0.441 (m/s)(mthat it should be a straight lir e 4103.2Also, a linear fit to the data (an 64 1 1 1.02 074 46.5 21596 64.1 46 5 59.0 | | | 0045| 0085 0.8331 050 | | 3943 8 equation gives you the slope otre 421226060120656701 intercept value of ZERO). To edit 0441 0.37 074 | EXCEL Trendline") is shown with 2159 6 3484.8 1078 056.12 70.3 4947 2 19 0065 0637 047 4590 its equation. The trendline 19 0.065 0.637 0.47 120 0.085 0.833 1.00 62.8 21 0.110 line (the line assumes a y 122 0.125 1.225 23| 0.145 1.421 124 0.165 1.617 0,60 0.65 0.67 1.20 1.30 1.34 75.4 81.6 84.2 5679.1 6 6665.rght-click (or view) trendline settings, just right-click directly on the lina. 7081.6 126 Checking Wave Speed 28 29 000.0 31 000 0 2000.0 36 20000 000.0 0 500 1000 String Tension (N) 1 500 2.000

Explanation / Answer

From theory

we have (v^2 )= 1/mu (T) where v is velocity, mu is linear mass density, T is tension in string

Expected slope is 5077.284 m2/s2/N

2) Slope of trend line from graph is

    4701.8 m2/s2/N

3) PERCENTAGE DIFFERENCE IS

((5077.284 -4701.8)/5077.284) *100

= 7.39 PERCENT

Valid only, this error could be because of missing constant

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