An airplane is in level flight at low altitude, so that atmospheric pressure and densities are 1 atm and 1 kg/m3 , respectively. There is a Pitot tube attached to the airplane, so that air entering the tube stagnates at the rear of the tube. The stagnation pressure is measured to be 2.00 x 105 Pa. What is the speed of the airplane?
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An airplane is in level flight at low altitude, so that atmospheric pressure and densities are 1 atm and 1 kg/m3 , respectively. There is a Pitot tube attached to the airplane, so that air entering the tube stagnates at the rear of the tube. The stagnation pressure is measured to be 2.00 x 105 Pa. What is the speed of the airplane? (The laser is there to detect particulates in the air which might interfere with the operation of the probe.) Explain all steps
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- Tire gauges for air pressure, as well as most other gauges used in an industrial environment take into account the pressure due to the atmosphere of the Earth. That's why your car gauge reads 0 before you put it on your tire to check your pressure. This is called gauge pressure. The real pressure within a tire or other object containing pressurized stuff would be a combination of what the gauge reads as well at the atmospheric pressure. If a gauge on a tire reads 13.55 psi, what is the real pressure in the tire in pascals? The atmospheric pressure is 1.01x105 Pa.The pressure difference between the interior and exterior of an air bubble in water is 25.5 torr. The water surface tension is 73 mN/m, what is the diameter of the air bubble? 43.0 mm 11.5 mm O86.1 μm 43.0 μm 86.1 mmHelium gas is sold in steel tanks that will rupture if subjected to tensile stress greater than its yield strength of 5 × 108 N/m2. If the helium is used to inflate a balloon, could the balloon lift the spherical tank the helium came in? Justify your answer. Suggestion: You may consider a spherical steel shell of radius r and thickness t having the density of iron and on the verge of breaking apart into two hemispheres because it contains helium at high pressure.
- A person is in a closed room (a racquetball court) with V = 453 m3 hitting a ball (m = 42.0 g) around at random without any pauses. The average kinetic energy of the ball is 2.30 J. (a) What is the average value of vx 2 ? Does it matter which direction you take to be x? (b) Applying the methods of this chapter, find the average pressure on the walls? (c) Aside from the presence of only one “molecule” in this problem, what is the main assumption in Pressure, Temperature, and RMS Speed that does not apply here?A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 4200 N/m. The piston has a negligible mass and a radius of 0.016 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring?A tall graduated cylinder contains 7 cm of oil (density of 825 kg/m3kg/m3) on top of 20 cm of water (density of 1000 kg/m3kg/m3). The cylinder is open to the air. What is the pressure in the water, 3 cm above the bottom of the cylinder? (in Pa) 1.0323×105 1.0335×105 1.0353×105 1.0294×105 1.0157×105
- There is a maximum depth at which a diver can breathe through a snorkel tube because as the depth increases, so does the pressure difference, which tends to collapse the diver’s lungs. Since the snorkel connects the air in the lungs to the atmosphere at the surface, the pressure inside the lungs is atmospheric pressure. What is the external–internal pressure difference when the diver’s lungs are at a depth of 6.1 m (about 20 ft)? Assume that the diver is in freshwater. (A scuba diver breathing from compressed air tanks can operate at greater depths than can a snorkeler, since the pressure of the air inside the scuba diver’s lungs increases to match the external pressure of the water.)At a given instant, the blood pressure in the heart is 1.4 x 104 Pa. If an artery in the brain is 0.37 m above the heart, what is the pressure in the artery? Ignore any pressure changes due to blood flow.During a high Reynolds number experiment, the total drag force acting on a spherical body of diameter D = 12 cm subjected to airflow at 1 atm and 5°C is measured to be 5.2 N. The pressure drag acting on the body is calculated by integrating the pressure distribution (measured by the use of pressure sensors throughout the surface) to be 4.9 N. Determine the friction drag coefficient of the sphere.
- Spherical particles of a protein of density 1.8 g/cm3 are shaken up in a solution of 20°C water. The solution is allowed to stand for 1.0 h. If the depth of water in the tube is 5.0 cm, find the radius of the largest particles that remain in solution at the end of the hour.A 0.504 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 5.71 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 2.79, what is the initial acceleration a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm and that the top of the tube is open to the air. a = m/s?At a given instant, the blood pressure in the heart is 1.7 x 104 Pa. If an artery in the brain is 0.46 m above the heart, what is the pressure in the artery? Ignore any pressure changes due to blood flow.