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SERCP$119\mathrm{.}7.$P$\mathrm{.}042.$

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is $1\mathrm{.}70{10}^{5}Pa$ and the pipe radius is $2\mathrm{.}90$ cm $.$ At the higher point located at $y=2\mathrm{.}50m,$ the pressure is $1\mathrm{.}25{10}^{5}Pa$ and the pipe radius is $1\mathrm{.}30$ cm $.$

$($a$)$ Find the speed of flow in the lower section.

Your response is within $10\%$ of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four$-$digit accuracy to minimize roundoff error. $\frac{m}{s}$

$($b$)$ Find the speed of flow in the upper section.

Your response is within $10\%$ of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four$-$digit accuracy to minimize roundoff error. $\frac{m}{s}$

$($c$)$ Find the volume flow rate through the pipe.

Your response is within $10\%$ of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four$-$digit accuracy to minimize roundoff error $\frac{m^3}{s}$

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