A 2.4-in-diameter soap bubble is to be enlarged by blowing air into it. Taking the surface tension of soap solution to be 0.0027 lbf/ft, determine the work input required to inflate the bubble to a diameter of 2.7 in.

A 2.4-in-diameter soap bubble is to be enlarged by blowing air into it. Taking the surface tension of soap solution to be 0.0027 Ibf/ft, determine the work input required to inflate the bubble to a diameter of 2.7 in.

A 0.03-in-diameter glass tube is inserted into kerosene at $68^{\circ} \mathrm{F}.$ The contact angle of kerosene with a glass surface is $26^{\circ}.$ Determine the capillary rise of kerosene in the tube.

A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of $5 \mathrm{~m} / \mathrm{s}$. The two stationary surfaces are spaced $4 \mathrm{~cm}$ apart, and the medium between them is filled with oil whose viscosity is $0.9 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}^2$. The part of the plate immersed in oil at any given time is $2$-$\mathrm{m}$ long and $0.5$-$\mathrm{m}$ wide. If the plate moves through the mid-plane between the surfaces, find the force required to maintain this motion. What would your response be if the plate was $1 \mathrm{~cm}$ from the bottom surface $\left(h_2\right)$ and $3 \mathrm{~cm}$ from the top surface $\left(h_1\right)$ ?

Draw the pie charts for the frequency distributions. The Chronicle of Higher Education reported that the number of college and university degrees awarded in 2001/2002 was: associate degrees, 595,133; bachelor’s degrees, 1,291,900; master’s degrees, 482,118; and doctorate degrees, 44,160.

Find the missing dimension of each triangle described. height: 11 cm, area: 260.15 cm$^{2}$

Consider a 0.15-mm diameter air bubble in a liquid. Determine the pressure difference between the inside and out- side of the air bubble if the surface tension at the air-liquid interface is (a ) 0.080 N/m and (b ) 0.12 N/m.

Can the coefficient of compressibility of a fluid be negative? How about the coefficient of volume expansion?

In regions far from the entrance, fluid flow through a circular pipe is one dimensional, and the velocity profile for laminar flow is given by $u(r)=u_{\max }\left(1-r^{2} / R^{2}\right),$ where R is the radius of the pipe, r is the radial distance from the center of the pipe, and $u_{max}$ is the maximum flow velocity, which occurs at the center. Obtain (a ) a relation for the drag force applied by the fluid on a section of the pipe of length L and (b ) the value of the drag force for water flow at $20^{\circ} \mathrm{C}$ with R = 0.08 m, $L=30 \mathrm{m}, u_{\max }=3 \mathrm{m} / \mathrm{s}, \text { and } \mu=0.0010 \mathrm{kg} / \mathrm{m} \cdot \mathrm{s}.$

Determine the speed of sound in air at (a) 300 K and (b) 800 K. Also determine the Mach number of an aircraft moving in air at a velocity of 330 m/s for both cases.

For flow over a plate, the variation of velocity with vertical distance y from the plate is given as $u(y) = ay – by^2$ where a and b are constants. Obtain a relation for the wall shear stress in terms of a, b, and $\mu$.

The diameter of one arm of a U-tube is 5 mm while the other arm is large. If the U-tube contains some water, and both surfaces are exposed to atmospheric pressure, determine the difference between the water levels in the two arms.

Carbon dioxide enters an adiabatic nozzle at 1200 K with a velocity of 50 m/s and leaves at 400 K. Assuming constant specific heats at room temperature, determine the Mach number (a) at the inlet and (b) at the exit of the nozzle. Assess the accuracy of the constant specific heat assumption.

The Airbus A-340 passenger plane has a maximum takeoff weight of about 260,000 kg, a length of 64 m, a wing span of 60 m, a maximum cruising speed of 945 km/h, a seating capacity of 271 passengers, maximum cruising altitude of 14,000 m, and a maximum range of 12,000 km. The air temperature at the crusing altitude is about $−60^\circ C$. Determine the Mach number of this plane for the stated limiting conditions.