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An automobile tire is inflated to a gauge pressure of 35.98 psi. The total area of one sidewall of the tire is 777.60 square inches.

  1. An automobile tire is inflated to a gauge pressure of 35.98 psi. The total area of one sidewall of the tire is 777.60 square inches. What is the outward force (in pounds) on the sidewall due to air pressure? Round your final answer to two decimal places.
  2. A coal bin is filled with 49,002.97 pounds of coal. The area of the bin's floor is 446.15 square feet. Find the pressure on the floor in pounds per square foot. Round your final answer to two decimal places.
  3. A tanker truck has a capacity of 21,717.82 pounds of liquid. If the weight density of the liquid is 46.56 pounds per cubic feet. What volume (in cubic feet) of this liquid can the tanker truck carry? Round your final answer to two decimal places.
  4. If a balloon is filled with 523.60 cubic meters of a gas (at 0 oC temperature and 1 Atm pressure). What is the mass of the gas (in kilograms) if its density is 0.16 kilograms per cubic meter? Round your final answer to two decimal places.
  5. When a spigot is open, water emerges from a garden hose with a speed of 26.65 inches per second. If the garden hose has an opening with a cross-sectional area of 0.75 square inches, what would be the speed of the water (in inches per second) as it emerges from the hose if the area of the opening was reduced to 0.34 square inches? Round your final answer to two decimal places.
  6. In a hydraulic car lift, the input piston has a cross-sectional area 0.0024 square meters and the output piston has a cross-sectional area of 0.0756 square meters. What would be the output force (in newtons) if the input force on the lift is 18,211 Newtons? Round your final answer to two decimal places.
  7. If a wave is traveling at a velocity 71.50 meters per second and has a frequency of 5.20 hertz, what is its wavelength (in meters)? Round your final answer to two decimal places.
  8. A sound wave is transmitted through the water from a submarine and is reflected off another submarine back to its origin. If the sound velocity is 1,358.38 meters per second in water and the time it takes for the pulse to return is 18.95 seconds what is the distance (in meters) from one submarine to the other? Round your final answer to two decimal places.
  9. How far (in meters) can a sound wave travel in 55.42 seconds when the ambient air temperature is 28.98 oC? Round your final answer to two decimal places.
  10. It's a sunny October day at a baseball park. The air temperature is a comfortable 13.41 oC. A spectator just beyond center field about 245.75 meters from the home plate sees the batter strike the ball. How long (in seconds) before he will hear the crack of the bat? Round your answer to two decimal places.

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