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The transformation from Cartesian to plane coordinates in y-direction is given by ______

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in Geotechnical Engineering I by (102k points)
The transformation from Cartesian to plane coordinates in y-direction is given by ______

(a) y=rsinθ

(b) y=rcosθ

(c) y=rcos2θ

(d) y=rsin2θ

I got this question in examination.

Query is from Consolidation Equation in Polar Coordinates topic in section One Dimensional Consolidation of Geotechnical Engineering I

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The correct option is (a) y=rsinθ

Easy explanation: The transformation from Cartesian to plane coordinates in y-direction is given by,

y=rsinθ. Where, y=coordinate in Cartesian form

r=coordinate in polar form.

r^2=x^2+y^2 and θ=tan^-1(y/x).

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