In the spherical polar coordinate system q₁ = 1, 92 = 0, 93 = p. The transformation equations corresponding to Eq. (2.27) are x=rsin cosy, y=rsin siny, z=rcose. (a) Calculate the spherical polar coordinate scale factors: hy, he, and h... (b) Check your calculated scale factors by the relation ds; = h¡ dqi.
In the spherical polar coordinate system q₁ = 1, 92 = 0, 93 = p. The transformation equations corresponding to Eq. (2.27) are x=rsin cosy, y=rsin siny, z=rcose. (a) Calculate the spherical polar coordinate scale factors: hy, he, and h... (b) Check your calculated scale factors by the relation ds; = h¡ dqi.
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Transcribed Image Text:2.3.2 In the spherical polar coordinate system q₁ = 1, 92 = 0,93 = 9. The
transformation equations corresponding to Eq. (2.27) are
x=rsin cos, y=rsin siny, z=rcos 0.
(a) Calculate the spherical polar coordinate scale factors: hy, he, and ho.
(b) Check your calculated scale factors by the relation ds; = h¡ dqi.
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