A sprayer ejects a coating of particles at $25 \mathrm{~m} / \mathrm{s}$. Calculate their velocity $8 \mu \mathrm{s}$ after leaving the nozzle. Assume the average diameter of the particles is $0.6\ \mu \mathrm{m}$ and each has a mass of $0.8\left(10^{-12}\right) \mathrm{g}$. The air is at $20^{\circ} \mathrm{C}$. Neglect the vertical component of the velocity. Note: The volume of a sphere is $\forall=\frac{4}{3} \pi r^3$.

The culvert carries water and is at a downward slope $S_0$. Find the depth $y$ that will produce maximum velocity for the flow.

When the cup of hot tea is stirred, top photo, the "leaves" seem to eventually settle at the bottom in the center of the cup. Why do they do this, instead of accumulating along the rim? Explain.

In 1896, S. Riva-Rocci developed the prototype of the current sphygmomanometer, a device used to measure blood pressure. When it was worn as a cuff around the upper arm and inflated, the air pressure within the cuff was connected to a mercury manometer. If the reading for the high (or systolic) pressure is $120 \mathrm{~mm}$ and for the low (or diastolic) pressure is $80 \mathrm{~mm}$, find these pressures in psi and pascals.

The smooth cylinder is suspended from the rail and is partially submerged in the water. If the wind blows at $8 \mathrm{~m} / \mathrm{s}$, find the terminal velocity of the cylinder. The water and air are both at $20\degree \mathrm{C}$.

A baseball is thrown straight up into the air. Will the time to travel to its highest point be longer, shorter, or the same as the time for it to fall to the same height from which it was thrown?

The structure shown is used for the temporary storage of crude oil at sea for later loading into ships. When it is not filled with oil, the water level in the stem is at $B$ (sea level). Why? As the oil is loaded into the stem, the water is displaced through exit ports at $E$. If the stem is filled with oil. that is, to the depth of $C$, find the height $h$ of the oil level above sea level. Take $\rho_s=900 \mathrm{~kg} / \mathrm{m}^3, \rho_w=1020 \mathrm{~kg} / \mathrm{m}^3$.

Water flows at $10.8\left(10^3\right) \mathrm{ft}^3 / \mathrm{min}$ through a rectangular channel having a width of $6\ \mathrm{ft}$. If $y_A=5\ \mathrm{ft}$, show that $y_B=4.25\ \mathrm{ft}$ is possible. What is the necessary increase in elevation $h$ of the channel bed to create this depth?

A 5-m-diameter balloon is at an altitude of $2 \mathrm{~km}$. If it is moving with a terminal velocity of $12 \mathrm{~km} / \mathrm{h}$, find the drag on the balloon.

Water flows in a rectangular channel with a velocity of $2 \mathrm{~m} / \mathrm{s}$ and depth of $4 \mathrm{~m}$. What other possible depth of flow provides the same specific energy? Plot the specific energy diagram.

A canal is $2 \mathrm{~m}$ deep and $3 \mathrm{~m}$ wide, and the water flows with a velocity of $1.5 \mathrm{~m} / \mathrm{s}$. If a stone is thrown into it, find how fast the waves will travel upstream and downstream. What is the Froude number?

The channel is made of finished concrete and has the cross section shown. If the downward slope is $0.0006$, find the flow of water through the channel when $y=5\ \mathrm{ft}$. Take $n=0.012$

The laminar boundary layer for a fluid is assumed to be cubic, such that $u / U=C_1+C_2(y / \delta)+C_3(y / \delta)^3$. If the free-stream velocity $U$ starts at $y=\delta$, find the constants $C_1, C_2$, and $C_3$.

The channel has a triangular cross section and is flowing full. Calculate the volumetric flow of water if the sides are made of wood and the downward slope is $0.002$. Take $n=0.012$.