Transforming to linearized equations

Dec 19th, 2014
Sigchi4life
Category:
Mathematics
Price: $10 USD

Question description

a) Find the appropriate transformations to linearize the relationship between Y and X in the following nonlinear

physical models:

y = 1/(a+bx)

y = μoe^(-a/bx)

*o is knot*

b.) The deflection (theta) in radian of a solid shaft is dependent on the diameter of the shaft D, according to the following engineering model:

Theta = (pi(L)tau/32G)*D^k

Where L is the length of the shaft, tau is the applied torque and G is the shear modulus of the shaft material.  Find the appropriate transformation to linearize the data in order to estimate the value of the diameter exponent k.

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