A (0.3 mathrm{~m}) by (0.5 mathrm{~m}) rectangular air duct carries a flow of (0.45 mathrm{~m}^{3} / mathrm{s})

Question:

A $0.3 \mathrm{~m}$ by $0.5 \mathrm{~m}$ rectangular air duct carries a flow of $0.45 \mathrm{~m}^{3} / \mathrm{s}$ at a density of $2 \mathrm{~kg} / \mathrm{m}^{3}$. Calculate the mean velocity in the duct. If the duct tapers to $0.15 \mathrm{~m}$ by $0.5 \mathrm{~m}$ size, what is the mean velocity in this section if the density is $1.5 \mathrm{~kg} / \mathrm{m}^{3}$ there?

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