Module 6 Fluids

Attribution: openstax, College Physics 2e, access for free

variable	quantity	value	SI unit
\( m\)	mass	\( 31.103e\mbox{-3}\)	\( kg \)
\( \rho \)	density	\(19.3e3 \)	\( kg/m^3 \)
\( vol = \dfrac{m}{\rho}\)	volume= mass/density	?	\( m^3 \)

variable	quantity	value	SI unit
\( P \)	pressure due to a column of liquid	\( 1.013e5 \)	\( pascal \; (Pa) \)
\( \rho \)	density of mercury	\( 13.6e3 \)	\( kg/m^3 \)
\( h \)	depth of liquid	\( ? \)	\( meter \; (m) \)

variable	quantity	value	SI unit
\( \dfrac{volume}{time} \)	volume flow rate	0.080	\( m^3/s \)
\( \dfrac{\pi}{4} D^2 \)	cross-section area of fire hose	\( A=\dfrac{\pi}{4} (0.09)^2 \)	\( m^2 \)
\( v \)	speed of water flow	\( ? \)	\( m/s \)

variable	quantity	value	SI unit
\( P_{2}=P_{1}\)	since tank and spout are open to atmosphere	\( P_{2}-P_{1} = 0 \)	\( pascal \; (Pa)\)
\( v_{1} =0\)	for tank to be a reservoir	\( 0 \)	\( m/s \)
\( h \)	pressure head, depth from surface of water	\( 0.35 \)	\( meter \; (m) \)

Bernoulli's Equation: \( P_{2}-P_{1}= \frac{1}{2} \rho (v_{1}^{2} -v_{2}^{2}) + \rho g h\)

Torricelli's Theorem: \(v_{2}^{2}=v_{1}^{2} + 2gh\)

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