Q) The velocity v (m/s) of air flowingpast a flat surface is measured at severnl distances y(m) away fom the surfhce. Use Newton's viscosity law to detenmine the shear stress N/m) at the surface (y-0). dv dy Assume a value ofdynamie viscosity -1.8* 10 N.s/n? 0.002 Y, m V. m/s 0.024 4.299 0.006 0.012 0.018 0.287 0.899 | 1.915 3.048 a- Use two forward difference approximations for h-0.006. Estimate the approximate percent relative error, Use two forward difference approximations with a step size of 0.012 Ch-0.012). Estimate the approximate percent relative eror, & Apply Richardson extrapolation. Estimate the approximate percent relative error, E Use unequally spaced three data and the first-derivative of a second-order d. Langrange polynomial to evahuate the derivative (y-0) and shear stress. Estimate the approximate percent relative enor, & ) Compare the approximate estimates of the enor (e) for the formulas used.

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Q) The velocity v (m/s) of air flowingpast a flat surface is measured at severnl distances y(m)
away fom the surfhce. Use Newton's viscosity law to detenmine the shear stress N/m) at the
surface (y-0).
dv
dy
Assume a value ofdynamie viscosity -1.8* 10 N.s/n?
0.002
Y, m
V. m/s
0.024
4.299
0.006
0.012
0.018
0.287
0.899
| 1.915
3.048
a-
Use two forward difference approximations for h-0.006. Estimate the
approximate percent relative error,
Use two forward difference approximations with a step size of 0.012
Ch-0.012). Estimate the approximate percent relative eror, &
Apply Richardson extrapolation. Estimate the approximate percent relative
error, E
Use unequally spaced three data and the first-derivative of a second-order
d.
Langrange polynomial to evahuate the derivative (y-0) and shear stress. Estimate the
approximate percent relative enor, &
) Compare the approximate estimates of the enor (e) for the formulas used.
Transcribed Image Text:Q) The velocity v (m/s) of air flowingpast a flat surface is measured at severnl distances y(m) away fom the surfhce. Use Newton's viscosity law to detenmine the shear stress N/m) at the surface (y-0). dv dy Assume a value ofdynamie viscosity -1.8* 10 N.s/n? 0.002 Y, m V. m/s 0.024 4.299 0.006 0.012 0.018 0.287 0.899 | 1.915 3.048 a- Use two forward difference approximations for h-0.006. Estimate the approximate percent relative error, Use two forward difference approximations with a step size of 0.012 Ch-0.012). Estimate the approximate percent relative eror, & Apply Richardson extrapolation. Estimate the approximate percent relative error, E Use unequally spaced three data and the first-derivative of a second-order d. Langrange polynomial to evahuate the derivative (y-0) and shear stress. Estimate the approximate percent relative enor, & ) Compare the approximate estimates of the enor (e) for the formulas used.
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