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Q) The velocity v (m/s) of air flowing past a flat surface is measured at several distances y(m) away from the surface. Use Newton'sviscosity law to determine the shear stress t (N/m³) at the surface (y=0). dv 'dy Assume a value of dynamic viscosity =1.8* 10- N.s/hm² y, m V, m/s 0.002 0.287 0.006 0.899 0.012 |1.915 0.018 3.048 0.024 4.299 (r-7) Use two forward đifference approximations for h=0.006. Estimate the approximate percent relative error, &. b- , (t=?) Use two forward difference approximations with a step size of 0.012 (h=0.012). Estimate the approximatepercent relative error, , e.. (r-?) ApplyRichardson extrapolation. Estimate the approximate percent relative error, & (r=?) Use unequally spaced three data and the first-derivative of a second-order d- Langrange polynomial to evaluate the derivative (y=0) and shear stress. Estimate the approximate percent relative error, Eg Compare the approximate estimates of the error ([ed ) for the formulas used.

Q) The velocity v (m/s) of air flowing past a flat surface is measured at several distances y(m) away from the surface. Use Newton'sviscosity law to determine the shear stress t (N/m³) at the surface (y=0). dv 'dy Assume a value of dynamic viscosity =1.8* 10- N.s/hm² y, m V, m/s 0.002 0.287 0.006 0.899 0.012 |1.915 0.018 3.048 0.024 4.299 (r-7) Use two forward đifference approximations for h=0.006. Estimate the approximate percent relative error, &. b- , (t=?) Use two forward difference approximations with a step size of 0.012 (h=0.012). Estimate the approximatepercent relative error, , e.. (r-?) ApplyRichardson extrapolation. Estimate the approximate percent relative error, & (r=?) Use unequally spaced three data and the first-derivative of a second-order d- Langrange polynomial to evaluate the derivative (y=0) and shear stress. Estimate the approximate percent relative error, Eg Compare the approximate estimates of the error ([ed ) for the formulas used.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Q) The velocity v (m/s) of air flowing past a flat surface is measured at several distances y(m) away from the surface. Use Newton'sviscosity law to determine the shear stress t (N/m³) at the surface (y=0). dv 'dy Assume a value of dynamic viscosity =1.8* 10- N.s/hm² y, m V, m/s 0.002 0.287 0.006 0.899 0.012 |1.915 0.018 3.048 0.024 4.299 (r-7) Use two forward đifference approximations for h=0.006. Estimate the approximate percent relative error, &. b- , (t=?) Use two forward difference approximations with a step size of 0.012 (h=0.012). Estimate the approximatepercent relative error, , e.. (r-?) ApplyRichardson extrapolation. Estimate the approximate percent relative error, & (r=?) Use unequally spaced three data and the first-derivative of a second-order d- Langrange polynomial to evaluate the derivative (y=0) and shear stress. Estimate the approximate percent relative error, Eg Compare the approximate estimates of the error ([ed ) for the formulas used.
Transcribed Image Text:Q) The velocity v (m/s) of air flowing past a flat surface is measured at several distances y(m) away from the surface. Use Newton'sviscosity law to determine the shear stress t (N/m³) at the surface (y=0). dv 'dy Assume a value of dynamic viscosity =1.8* 10- N.s/hm² y, m V, m/s 0.002 0.287 0.006 0.899 0.012 |1.915 0.018 3.048 0.024 4.299 (r-7) Use two forward đifference approximations for h=0.006. Estimate the approximate percent relative error, &. b- , (t=?) Use two forward difference approximations with a step size of 0.012 (h=0.012). Estimate the approximatepercent relative error, , e.. (r-?) ApplyRichardson extrapolation. Estimate the approximate percent relative error, & (r=?) Use unequally spaced three data and the first-derivative of a second-order d- Langrange polynomial to evaluate the derivative (y=0) and shear stress. Estimate the approximate percent relative error, Eg Compare the approximate estimates of the error ([ed ) for the formulas used.
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