Question 273: Properties of Matter

Question

Figure below shows a liquid being pushed out of the tube by a piston having area of cross section $$2.0 \mathrm{~cm}^{2}$$. The area of cross section at the outlet is $$10 \mathrm{~mm}^{2}$$. If the piston is pushed at a speed of $$4 \mathrm{~cm} \mathrm{~s}^{-1}$$, the speed of outgoing fluid is __________ $$\mathrm{cm} \mathrm{s}^{-1}$$

Accepted Answer

By equation of continuity
$$
\begin{aligned}
& \mathrm{A}_1 \mathrm{~V}_1=\mathrm{A}_2 \mathrm{~V}_2 \\
& \mathrm{~V}_2=\frac{2 	imes 4}{10 	imes 10^{-2}}=80 \mathrm{~cm} / \mathrm{s}
\end{aligned}
$$

Properties of Matter

Integer / Numeric Answer Type