Fluid dynamics

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

Easy

Solution

Let the speed of the ejection of the liquid through the holes be $v$. Then according to the equation of continuity,

$\pi {R}^{2}V=n\pi {r}^{2}v\text{or}v=\frac{\pi {R}^{2}V}{n\pi {r}^{2}}=\frac{V{R}^{2}}{n{r}^{2}}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Download Now