Two water pipes $P$ and $Q$ having diameter $2 imes 10^{- 2}$ m and $4 imes 10^{- 2}$ m respectively are joined in series with the main supply line of water. The velocity f water flowing in pipe $P$ is

Question

Two water pipes $P$ and $Q$ having diameter $2 	imes 10^{- 2}$ m and $4 	imes 10^{- 2}$ m respectively are joined in series with the main supply line of water. The velocity f water flowing in pipe $P$ is

Dr. Abubacker · Accepted Answer

(a) Using theorem of continuity, we have
$\pi D_{p}^{2}v_{p} = \pi D_{Q}^{2}v_{Q};$
$v_{p} = \left( \frac{D_{Q}}{D_{P}} ight)^{2}v_{Q} = \left( \frac{4 	imes 10^{- 2}}{2 	imes 10^{- 2}} ight)^{2} 	imes v_{Q} = v_{Q} = 4v_{Q}$

Q. Two water pipes $P$ and $Q$ having diameter $2 \times 10^{- 2}$ m and $4 \times 10^{- 2}$ m respectively are joined in series with the main supply line of water. The velocity f water flowing in pipe $P$ is

Explanation

Reviewed by Dr. Abubacker

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