The cross-sectional area of a column of water in a vertical pipe is  $0.32 \mathrm{~m}^2$, and the weight is $680 \mathrm{~N}$. What is the difference in pressure (in Pa) between the pipe's top and bottom?

Find the sum of each of the following. The positive two-digit integers that are not divisible by 3

A pipe system with a radius of $0.060 \mathrm{~m}$ has a liquid flowing through it at a speed of $3.96 \mathrm{~m} / \mathrm{s}$. Find the rate of flow in $\mathrm{L} / \mathrm{min}$ .

A $12-\mathrm{cm}$-diameter horizontal pipe transports $\mathrm{SAE-10}$ oil at $10^{\circ} \mathrm{C}$. Estimate the wall shear, the average velocity, and the flow rate if the pressure drop over a $10 -\mathrm{m}$ section of pipe is measured to be: (a) $5 \mathrm{~kPa}$ (b) $20 \mathrm{~kPa}$ (c) $200 \mathrm{~kPa}$

Saturated water vapor at $150^\circ C$ (enthalpy h = 2745.9 kJ/kg) flows in a pipe at 50 m/s at an elevation of z = 10 m. Determine the total energy of vapor in J/kg relative to the ground level.

A circle of pollution is spreading from a broken underwater waste disposal pipe, with the radius increasing at the rate of 4 ft per minute. Find the rate of change of the area of the circle when the radius is 7 ft.

(II) How many overtones are present within the audible range for a $2.48$-m-long organ pipe at $20^{\circ} \mathrm{C}(a)$ if it is open?

A rigid pipe $4 \mathrm{~km}$ long and $12 \mathrm{~cm} /$ in diameter discharges water $\left(\rho=1000 \mathrm{~kg} / \mathrm{m}^3\right)$ at the rate of $0.03 \mathrm{~m}^3 / \mathrm{s}$. If a valve at the end of the pipe is closed in $3 \mathrm{~s}$, what is the maximum force that will be exerted on the valve as a result of the pressure rise? Suppose that the water temperature is $10^{\circ} \mathrm{C}$.

The flow rate is measured to be $0.12 \mathrm{~ft}^{3} / \mathrm{sec}$ from the pipe shown in Fig.. Determine the loss coefficient of the valve. Neglect wall friction.

Show that the power needed to drive a fluid through a pipe with uniform cross-section is equal to the volume rate of flow, $Q$, times the pressure difference, $P_1-P_2$. Ignore viscosity.

Liquid $(\mathrm{S}=1.2)$ enters the "black sphere" through a 2 in. pipe with a velocity of $50\ \mathrm{ft} / \mathrm{s}$ and pressure of $60 \mathrm{psig}$. It leaves the sphere through two jets as shown in the given figure. The velocity in the vertical jet is $100\ \mathrm{ft} / \mathrm{s}$, and its diameter is 1 in. The other jet's diameter is also 1 in. What force through the 2 in. pipe wall is required in the $x$ - and $y$-directions to hold the sphere in place? Consider the sphere plus the liquid inside it weighs $200\ \mathrm{lbf}$.

Gasoline is piped underground from refineries to major users. The flow rate is $3.00 \times 10^{-2}\ \mathrm{m}^{3} / \mathrm{s}$ (about 500 gal/min), the viscosity of gasoline is $1.00 \times 10^{-3}\left(\mathrm{N} / \mathrm{m}^{2}\right) \cdot \mathrm{s},$ and its density is $680\ \mathrm{kg} / \mathrm{m}^{3}.$ (a) What minimum diameter must the pipe have if the Reynolds number is to be less than 2000? (b) What pressure difference must be maintained along each kilometer of the pipe to maintain this flow rate?

A cylinder with height 8 m and radius 3 m is filled with water and must be emptied through an outlet pipe 2 m above the top of the cylinder.

Interpret the results of parts (a) and (b).

Steam enters a 1.6-cm-diameter pipe at 80 bar and $600^{\circ}$C with a velocity of 150 m/s. Determine the mass flow rate, in kg/s.