Determine the pressure exerted on the surface of a submarine cruising 175 ft below the free surface of the sea. Assume that the barometric pressure is 14.7 psia and the specific gravity of seawater is 1.03.

Determine the pressure exerted on a diver at 20 m below the free surface of the sea. Assume a barometric pressure of 101 kPa and a specific gravity of 1.03 for seawater.

The basic barometer can be used to measure the height of a building. If the barometric readings at the top and at the bottom of a building are 730 and 755 mmHg, respectively, determine the height of the building. Assume an average air density of $1.18 kg/m^3.$

A car is accelerated from rest to 85 km/h in 10 s. Would the energy transferred to the car be different if it were accelerated to the same speed in 5 s?

Mount Everest’s summit is $8850~\text{m}$ $(29,035~\text{ft})$ above sea level. What is the barometric pressure there according to the standard atmosphere?

A pressure gage connected to a tank reads 50 psi at a location where the barometric reading is 29.1 in Hg. Determine the absolute pressure in the tanlk. Take $\rho_{\text{Hg}}$= 848.4 lbm/ft^3. Answer: 64.3 psia

The basic barometer can be used as an altitude-measuring device in airplanes. The ground control reports a barometric reading of 753 mmHg while the pilot’s reading is 690 mmHg. Estimate the altitude of the plane from ground level if the average air density is $1.20 \mathrm{kg} / \mathrm{m}^{3}$.

Consider a 70-kg woman who has a total foot imprint area of $400 \mathrm{cm}^{2}$. She wishes to walk on the snow, but the snow cannot withstand pressures greater than 0.5 kPa. Determine the minimum size of the snowshoes needed (imprint area per shoe) to enable her to walk on the snow without sinking.

A submarine submerges by admitting seawater (S=1.03) into its ballast tanks. The amount of water admitted is controlled by air pressure, because seawater will cease to flow into the tank when the internal pressure (at the hull penetration) is equal to the hydrostatic pressure at the depth of the submarine. Consider a ballast tank, which can be modeled as a vertical half-cylinder ( R=8 ft , L=20 ft ) for which the air pressure control valve has failed shut. The failure occurred at the beginning of a dive from 60 ft to 1000 ft . The tank was initially filled with seawater to a depth of 2 ft and the air was at a temperature of 40 $^{\circ} \mathrm{F}$ . As the weight of water in the tank is important in maintaining the boat's attitude, determine the weight of water in the tank as a function of depth during the dive. You may assume that tank internal pressure is always in equilibrium with the ocean's hydrostatic pressure and that the inlet pipe to the tank is at the bottom of the tank and penerrates the hull at the "depth" of the submarine.

A manometer is used to measure the air pressure in a tank. The fluid used has a specific gravity of 1.25, and the differential height between the two arms of the manometer is 28 in. If the local atmospheric pressure is 12.7 psia, determine the absolute pressure in the tank for the cases of the manometer arm with the (a) higher and (b) lower fluid level being attached to the tank.

Determine the limit of the function describing the atmospheric pressure on a plane as it descends from $32,000$ feet to land at Honolulu, located at sea level. (The atmospheric pressure at sea level is $14.7$ pounds per square inch.)

When calculating the barometric pressure for a city located $200$ meters above sea level, would you (add or subtract) units to its barometric reading in order to correct its pressure to sea level? You would _____________ units to the barometric reading.

The water in a 25-m-deep reservoir is kept inside by a 90-m-wide wall whose cross section is an equilateral triangle, as shown in the figure. Find (a) the total force (hydrostatic $+$ atmospheric) acting on the inner surface of the wall and its line of action and (b) the magnitude of the horizontal component of this force. Take $P_{\mathrm{am}}=100\ \mathrm{kPa}$.

A vacuum gage connected to a chamber reads 35 kPa at a location where the atmospheric pressure is 92 kPa. Determine the absolute pressure in the chamber.