The pressure in the foothills of the Rockies near Boulder, Colorado is $84 ~\mathrm{kPa}$. The pressure, assuming a constant density of $1.00 ~\mathrm{~kg} / \mathrm{m}^3$, at the top of a nearby $4000$-$\mathrm{m}$-$\mathrm{high}$ mountain is closest to: (A) $60~ \mathrm{kPa}$ (B) $55 ~\mathrm{kPa}$ (C) $50 ~\mathrm{kPa}$ (D) $45 ~\mathrm{kPa}$

If the viscosity of water at 68° F is 0.01008 poise, compute its absolute viscosity in pound-seconds per square foot. If the specific gravity at 68° F is 0.998, compute its kinematic viscosity in square feet per second.

Determine the atmospheric pressure at a location where the barometric reading is 735 mmHg. Take the density of mercury to be $13,600 kg/m^3.$

Calculate the force acting on a $30$-$\mathrm{cm}$-diameter porthole of a ship if the center of the porthole is $10 \mathrm{~m}$ below water level.

A meteorologist states that the barometric pressure is $28.5$ inches of mercury. Convert this pressure to kilopascals. (A) $98.6 ~\mathrm{kPa}$ (B) $97.2 ~\mathrm{kPa}$ (C) $96.5 ~\mathrm{kPa}$ (D) $95.6 ~\mathrm{kPa}$

The sides of a triangular area measure $2 \mathrm{~m}, 3 \mathrm{~m}$, and $3 \mathrm{~m}$, respectively. Calculate the force of water on one side of the area if the 2-m side is horizontal and $10 \mathrm{~m}$ below the surface and the triangle is: (a) Vertical (b) Horizontal (c) On a $60^{\circ}$ angle sloped upward.

The thermal contact conductance at the interface of two 1-cm-thick copper plates is measured to be $18,000 W/m^2 \cdot K.$ Determine the thickness of the copper plate whose thermal resistance is equal to the thermal resistance of the interface between the plates.

Determine the modulus of resilience for each of the following metals: (a) Stainless steel AISI 302 (annealed): E = 190 GPa,

$$σ_γ = 260 MPa$$

(b) Stainless steel AISI 302 (cold-rolled): E = 190 GPa,

$$σ_γ = 520 MPa$$

(c) Malleable cast iron: E = 165 GPa,

$$σ_γ = 230 MPa$$

An aluminum pan whose thermal conductivity is 237 W/m^2$^\circ{}$C has a flat bottom whose diameter is 20 cm and thickness 0.6 cm. Heat is transferred steadily to boiling water in the pan through its bottom at a rate of 700 W. If the inner surface of the bottom of the pan is 105$^\circ{}$C, determine the temperature of the outer surface of the bottom of the pan.

Show that the atomic packing factor for HCP is 0.74.

When a bicycle rider is traveling at a speed of V=24 mph, the power P she needs to supply is given by P=FV, where F=5 lbf is the force necessary to overcome aerodynamic drag. Apply the grid method to calculate: a. power in watts. b. energy in food calories to ride for 1 hour.

The Stokes-Oseen formula for drag force F on a sphere of diameter D in a fluid stream of low velocity V, density ρ, and viscosity μ is F = 3πμDV + 9π/16 ρV²D² Is this formula dimensionally homogeneous?

Dam $A B C$ in Fig. P2.66 is $30 \mathrm{~m}$ wide into the paper and made of concrete $(\mathrm{SG}=2.4)$. Find the hydrostatic force on surface $A B$ and its moment about $C$. Assume that there is no seepage of water under the dam, could this force tip the dam over? How does your result change if there is seepage under the dam?

A steel column of hollow circular cross section is supported on a circular steel base plate and a concrete pedestal. The column has outside diameter $d=250 \mathrm{mm}$ and supports a load $P=750 \mathrm{kN}$. (a) If the allowable stress in the column is $55 \mathrm{MPa}$, what is the minimum required thickness t? Based upon your result, select a thickness for the column. (Select a thickness that is an even integer, such as 10, 12, 14, . . . , in units of millimeters.) (b) If the allowable bearing stress on the concrete pedestal is 11.5 MPa, what is the minimum required diameter D of the base plate if it is designed for the allowable load $P_{\text { allow }}$ that the column with the selected thickness can support?