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A tube of length \( l \) and radius \( R \) carries a steady flow fluid whose density is \( \rho \) and viscosity \( \eta \). The fluid flow velocity depends on the distance \( r \) from the axis of the tube as \( v=v_{0}\left(1-r^{2} / R^{2}\right) \) Find:
\( \mathrm{P} \)
(a) the volume of the fluid flowing across the section of the tube per unit time;
\( \mathrm{W} \)
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