Question 362: Properties of Matter

Question

The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is V, the speed of the ejection of the liquid through the holes is

Accepted Answer

Let the speed of the ejection of the liquid through the holes be v. Then according to the equation of continuity,
$$\pi {R^2}V = n\pi {r^2}v$$
$$ \Rightarrow v = {{\pi {R^2}V} \over {n\pi {r^2}}} = {{V{R^2}} \over {n{r^2}}}$$

Answer

$${{VR{}^2} \over {{n^3}{r^2}}}$$

Answer

$${{{V^2}R} \over {nr}}$$

Answer

$${{V{R^2}} \over {{n^2}{r^2}}}$$

Answer

$${{V{R^2}} \over {n{r^2}}}$$

Properties of Matter

The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is V, the speed of the ejection of the liquid through the holes is

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