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 $10^{\circ} \mathrm{C}$.

Glycerin at $40^{\circ} \mathrm{C}$ with $\rho=1252 \mathrm{kg} / \mathrm{m}^{3} \text { and } \mu= 0.27 \mathrm{kg} / \mathrm{m} \cdot \mathrm{s}$ is flowing through a 4-cm-diameter horizontal smooth pipe with an average velocity of 3.5 m/s. Determine the pressure drop per 10 m of the pipe.

Write the missing digit to make each number divisible by 9. 3?,817

A pipe with an outside diameter of $220 \mathrm{~mm}$ and a wall thickness of $8 \mathrm{~mm}$ is subjected to the loads shown in Figure P15.60/ 61. The load magnitudes are $P_x=0 \mathrm{kN}, P_y=0 \mathrm{kN}$, and $P z=15 \mathrm{kN}$, and the length dimensions are $a=1.9 \mathrm{~m}$ and $b=1.3 \mathrm{~m}$. The pipe contains an internal pressure of $2,000 \mathrm{kPa}$. Determine the normal and shear stresses on the outer surface of the pipe (a) at point $H$ and (b) at point $K$.

In this exercise, you will need to use the tangent feature of a graphing utility to confirm your result.

$$f(x)=\tan ^2 x,\left(\frac{\pi}{4}, 1\right)$$

In Tolman’s maze study, the fact that the group of rats receiving reinforcement only after day 10 of the study solved the maze far more quickly than did the rats who had been reinforced from the first day can be interpreted to mean that these particular rats

a. were much smarter than the other rats. b. had already learned the maze in the first 9 days. c. had the opportunity to cheat by watching the other rats. d. were very hungry and, therefore, learned much more quickly.

A concrete (assume n=0.013 ) sewer pipe $2.5\ \mathrm{ft}$ in diameter is laid so it has a drop in elevation of $1.0\ \mathrm{ft}$ per $800\ \mathrm{ft}$ of length. If sewage (assume the properties are the same as those of water) flows at a depth of $1.25\ \mathrm{ft}$ in the pipe, what will be the discharge?

Write the missing digit to make each number divisible by 9. 1?,111

Fuel oil is flowing in a 4-in Schedule 40 steel pipe at the maximum rate for which the flow is laminar. If the oil has a specific gravity of $0.895$ and a dynamic viscosity of $8.3 \times 10^{-4} \mathrm{lb}-\mathrm{s}/{\mathrm{ft}^2}$, compute the energy loss per $100 \mathrm{ft}$ of pipe.

The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is

The length of a pipe in a panpipe e (in feet) is inversely proportional to its pitch p (in hertz). The inverse variation is modeled by the equation p = 495/e. Find the length required to produce a pitch of 220 Hz.

Write the name of the place for each underlined digit.

$$60.0 \underline{0} 79$$

Five times a certain number was 6 less than the product of 3 and the same number. What was the number?

Show that the kinetic-energy correction factor is $1.10$ for $n=5$ and $1.03$ for $n=10$ using $u=u_{\max }\left(y / r_{0}\right)^{1 / n}$ in a circular pipe. Water at $20^{\circ} \mathrm{C}$ flows in a $10 -\mathrm{cm}$-diameter pipe with an average velocity of $10 \mathrm{~m} / \mathrm{s}$. Using $u=u_{\max }\left(y / T_{0}\right)^{1 / n}$ with $n=7$, plot the viscous shear and the turbulent shear as a function of $r$. Also, determine $d \bar{p} / d x$.