The torque, T(N.m), required to rotate shafts of different diameters, D(mm), on a machine is shown in the table below. If the low is: T = aD" where a and n are constants. Determine the constants a and n to give the best fit to following data: D (тm) | 7.0 T (N.m)| 0.974 Then standard deviation (S,) about the mean. 25 40 15.3 10 18 1.71 4.33 7.28

The torque, T(N.m), required to rotate shafts of different diameters, D(mm), on a machine is shown in the table below. If the low is: T = aD" where a and n are constants. Determine the constants a and n to give the best fit to following data: D (тm) | 7.0 T (N.m)| 0.974 Then standard deviation (S,) about the mean. 25 40 15.3 10 18 1.71 4.33 7.28

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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Estimation

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Question

The torque, T(N.m), required to rotate shafts of different diameters, D(mm), on
a machine is shown in the table below. If the low is:
T = aD"
where a and n are constants. Determine the constants a and n to give the best
fit to following data:
D (тm) | 7.0
T (N.m) 0.974
Then standard deviation (S,) about the mean.
10
1.71
25
18
4.33
40
15.3
7.28

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