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A strange fluid completely fills the pipe of radius r=1 mr = 1\text{ m}r=1 m through which it flows with speed v=12−ln3ms.v = \frac{1}{2-\ln 3} \frac{\text{m}}{\text{s}}.v=2−ln31sm. If the density varies radially according to ρ(r)=1000π(1+2r),\rho(r) = \frac{1000}{\pi (1 + 2r)},ρ(r)=π(1+2r)1000, what is the mass flow rate in kgs?\frac{\text{kg}}{\text{s}}?skg?
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