Helium 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.

Q: In a lecture demonstration, a professor pulls apart two hemispherical steel shells (diameter D) with…

A: (a) The force needed to apply equals the force required to overcome the pressure difference. The…

Q: A balloon is to be filled with helium (density 0.178 kg/m3 ) while the air outside has density 1.29…

A: Consider the volume of the gas is V The mass of He gas is, w2=dHe×V×g Weight of the load is w3

Q: Three children, each of weight 395 N, make a log raft by lashing together logs of diameter 0.42 m…

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Q: 5. In the figure given, a piston with an 8 cm diameter compresses Meriam 10 cm D=8 cm Piston red oil…

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Q: The relation between pressure and velocity in an inviscid, * incompressible flow is given by…

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Q: What outward force (in N) is needed on the outside of a lung to create the pressure P noted in the…

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Q: A hot-air balloon consists of a basket hanging beneath a large envelope filled with hot air. A…

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Q: Decades ago, it was thought that huge herbivorous dinosaurs such as Apatosaurus and Brachiosaurus…

A: Let Fnet denote the net force on the sample and let d denote the displacement of the sample.…

Q: At a certain depth in the incompressible ocean, the gauge pressure is pg. At three times this depth,…

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Q: A certain sheet of glass will break if it experiences a pressure greater than 1250 Pa. In order to…

A: Given data:  Pressure (P) = 1250 Pa Force (F) = 65 N Required: Area (A)

Q: An airplane is flying through the air at 250 mph at an altitude of 7,000 ft. Assuming standard…

A: Solution: Given that V = 250 mph altitude = 7000 ft

Q: sealed tank containing seawater to a height of 11.0 m also contains air above the water at a gauge…

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Q: A meat baster consists of a squeeze bulb attached to a plastic tube. When the bulb is squeezed and…

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Q: A U-shaped tube is partially filled with equal volumes of water and mercury. If each liquid fills a…

A: Mercury is denser than water. Hence, it will settle to the bottom of the tube. The height y up to…

Q: The construction of a water pistol is shown in the figure below. The cylinder with cross-sectional…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Air at 35°C, 1atm (p = 1.145kg/m³, µ = 1.895 × 10-kg/m. s) enters a 11-m-long section of a…

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Q: A venturi tube may be used as the inlet to an automobile carburetor. If the 2.0 cm diameter pipe…

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Q: A venturi tube may be used as the inlet to an automobile carburetor. If the inlet pipe 2.0 cm…

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Q: In the given (V –T) diagram, what is the relation between pressures R and P,? V P2 P1 →T (1) P = R…

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Q: At a given instant, the blood pressure in the heart is 1.6 X 10ʻ Pa. If an artery in the brain is…

A: Pressure in the artery in the brain is Pbrain=Pheart-ρbloodgh

Q: A fish tank has dimensions 38 cmcm wide by 1.0 mm long by 0.50 mm high.If the filter should process…

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Q: an ideal fluid enters a pipe of diameter d with a velocity v, what will its velocity be at the exit…

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Q: How much should the pressure (in ATM) applied to water increase, if its volume must be compressed by…

A: Bulk's modulus of elasticity (B) = 2.1×109 Nm2Compression in volume of water = 1.6 %

Q: An airplane has wings, each with area 3.85 m2, designed so that air flows over the top of the wing…

A: using bernoulli's equation pressure difference = (1/2)(density of air)(V2 - u2)  = (1/2)(1.29)(2482…

Q: A cylindrical pressure vessel is fabricated from steel plates which have a thickness of 20 mm. The…

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Q: In the central heating design of a house, if the speed of pumping hot water to the ground floor is…

A: Given data: The velocity of water is v1 = 0.5 m/s. The diameter of pipe is d1 = 4 cm. Pressure…

Q: An airplane has wings, each with area 3.85 m2, designed so that air flows over the top of the wing…

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Q: A 7.25 If D₁ = 20 cm, DB = 12 cm, and L and L = 1 m, and if crude oi (S = 0.90) is flowing at a rate…

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Q: In ideal flow, a liquid of density 850 kg/m3 moves from a horizontal tube of radius 1.00 cm into a…

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Q: Air flows through a pipe at a rate of 120 L/s. The pipe consists of two sections of diameters 22 cm…

A: Let’s there is two points each in each section. The Bernoulli energy equation along with pipe points…

Q: Pulmonary banding is performed in infants with congenital heart defects that make them susceptible…

A: Given Data: Flow rate 2000 cm3/min=2000×10-660 m3/sec Diameter, D=1.3×10-2 m Density, ρ=1070 kg/m3…

Q: A pipe is horizontal and carries oil that has a viscosity of 0.14 Pa s. The volume flow rate of the…

A: The Viscosity of oil is 0.14 Pa s The Volume of flow rate is 5.1×10-5 m3/s The length of the pipe is…

Q: Air enclosed in a sphere has density ρ = 1.4 kg/m3. What will the density be if the radius of the…

A: Given data: Density of air enclosed in a sphere is, ρ=1.4 kg/m3.

Q: Water flows through a horizontal pipe of cross-sectional area 10. cm at a pressure of 0.25 atm. The…

A: Since, the density of water is 103 kg/m3.Summarizing the given values,

Q: A 2.0 kg spherical balloon has a radius of 7.35 m and is filled with helium. how so great can be the…

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Q: The construction of a water pistol is shown in the figure below. The cylinder with cross-sectional…

A: Given that: r1=1.50 cm=0.015 mr2=1.20 mm=1.20×10-3 mh=3.00 cm=0.03 mPatm=1.013×105 PaH=1.20 mR=7.90…

Q: A 0.573 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is…

A: Given:

Q: A spherically shaped balloon has a radius of 11.5 m, and is filled with helium. How much extra mass…

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Q: 15.2 A 50 cm tall cylindrical flask is half-filled with mercury, and the rest with water. If the…

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Q: n a flowing ideal fluid, the volume flow rate is _______."     always constant     sometimes…

A: Explanation: The rate of fluid flow through a particular area per unit time called flow rate, the…

Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.