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Another
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particles in plane polar coordinates
r = rcosθ i + rsinθ k
F = Fer + Feθ
∂r/∂r =|∂r/∂r|er = (cos2θ + sin2θ)½er = er
why
∂r/∂θ =|∂r/∂θ|eθ = (r2cos2θ + r2sin2θ)½eθ = reθ
I understand that ∂r/∂θ = -rsinθ + rcosθ but why ∂r/∂θ = (r2cos2θ + r2sin2θ)½eθ
r = rcosθ i + rsinθ k
F = Fer + Feθ
∂r/∂r =|∂r/∂r|er = (cos2θ + sin2θ)½er = er
why
∂r/∂θ =|∂r/∂θ|eθ = (r2cos2θ + r2sin2θ)½eθ = reθ
I understand that ∂r/∂θ = -rsinθ + rcosθ but why ∂r/∂θ = (r2cos2θ + r2sin2θ)½eθ