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A certain variable (F in N) varies with the time (t in min) according to the following equation: Following experimental data is obtained T (min) F (N) 1 F = a(t + 5)-b 2.1 2.8 2.86 3.03 5.3 6.8 6.6 8.2 3.58 3.88 3.84 4.16 15.3 22.7 5.39 6.50 a) How would you plot the data to get a straight line on rectangular coordinates? What will be the slope and the intercept? b) Plot the data to get the straight line and find the values of the constant a and b. c) Using the equation determine the force at 19 min d) Use two-point linear interpolation to force at10 min e) Comment on the results obtained in part (c) and part (d)

A certain variable (F in N) varies with the time (t in min) according to the following equation: Following experimental data is obtained T (min) F (N) 1 F = a(t + 5)-b 2.1 2.8 2.86 3.03 5.3 6.8 6.6 8.2 3.58 3.88 3.84 4.16 15.3 22.7 5.39 6.50 a) How would you plot the data to get a straight line on rectangular coordinates? What will be the slope and the intercept? b) Plot the data to get the straight line and find the values of the constant a and b. c) Using the equation determine the force at 19 min d) Use two-point linear interpolation to force at10 min e) Comment on the results obtained in part (c) and part (d)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A certain variable (F in N) varies with the time (t in min) according to the following equation: Following experimental data is obtained T (min) F (N) 1 F = a(t+5)-b 2.1 2.8 2.86 3.03 5.3 6.8 6.6 8.2 15.3 22.7 3.58 3.88 3.84 4.16 5.39 6.50 a) How would you plot the data to get a straight line on rectangular coordinates? What will be the slope and the intercept? b) Plot the data to get the straight line and find the values of the constant a and b. c) Using the equation determine the force at 19 min d) Use two-point linear interpolation to force at10 min e) Comment on the results obtained in part (c) and part (d)
Transcribed Image Text:A certain variable (F in N) varies with the time (t in min) according to the following equation: Following experimental data is obtained T (min) F (N) 1 F = a(t+5)-b 2.1 2.8 2.86 3.03 5.3 6.8 6.6 8.2 15.3 22.7 3.58 3.88 3.84 4.16 5.39 6.50 a) How would you plot the data to get a straight line on rectangular coordinates? What will be the slope and the intercept? b) Plot the data to get the straight line and find the values of the constant a and b. c) Using the equation determine the force at 19 min d) Use two-point linear interpolation to force at10 min e) Comment on the results obtained in part (c) and part (d)
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