a.Find the limiting velocity of a solid sphere of radius a and density ρ falling freely in a medium of density ρ′ and coefficient of viscosity μ.
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a.Find the limiting velocity of a solid sphere of radius a and density ρ falling freely in a medium of density ρ′ and coefficient of viscosity μ.
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- V A solid brass (bulk modulus 6.7 x 1010 N/m²) sphere is subjected to a pressure of 1.0 x 105 Pa due to the earth's atmosphere. On Venus the pressure due to the atmosphere is 9.0 x 106 Pa. By what fraction Ar/ro (including the algebraic sign) does the radius of the sphere change when it is exposed to the Venusian atmosphere? Assume that the change in radius is very small relative to the initial radius. Number i UnitskPressure cookers have been around for more than 300 years, although their use has strongly declined in recent years (early models had a nasty habit of exploding). How much force (in N) must the latches holding the lid onto a pressure cooker be able to withstand if the circular lid is 23.0 cm in diameter and the gauge pressure inside is 3.50 atm? Neglect the weight of the lid. N
- Pressure cookers use water at very high pressures to cook food very quickly. They have been around for more than 300 years, although their use has strongly declined in recent years (early models had a nasty habit of exploding). a. How much force, in newtons, must the latches holding the lid onto a pressure cooker be able to withstand if the circular lid is 27.5 cm in diameter and the gauge pressure inside is 0.95 atm? Neglect the weight of the lid.Please asapUnfortunately, one person got infected by V. vulnificus after eating some oysters. We want to estimate how much power a bacteria needs in order to move inside a capillary. The Reynolds number in a capillary is about 0.001, which means that blood's flow in a capillary is well approximated by Stokes flow model. In the following questions, assume that the bacteria is a sphere with an effective radius 0.55 μm (although the shape of V. vulnificus is more like a comma) moving at a speed of 200.0 μm/s relative to the blood flow. For simplicity, the dynamical viscosity, µ, is set to 0.030 kg/m/s3. Give the result consistent with the significant digits in the data. That is, with two significant digits. (a) Find the drag force that the bacteria experiences in the capillary. (b) Find the power that the bacteria needs to produce in order to move at that speed with respect to the blood flow. Hint: remember that power can be written as P = Fv. (c) Assuming that a mole of glucose can produce 380 kcal…
- Pressure cookers have been around for more than 300 years, although their use has strongly declined in recent years (early models had a nasty habit of exploding). How much force (in N) must the latches holding the lid onto a pressure cooker be able to withstand if the circular lid is 21.0 cm in diameter and the gauge pressure inside is 2.60 atm? Neglect the weight of the lid. NThree liquids that will not mix are poured into a cylindrical container. The volumes and densities of the liquids are 0.45 L, 2.6 g/cm³; 0.20 L, 1.0 g/cm³; and 0.40 L, 0.65 g/cm³. What is the force on the bottom of the container due to these liquids? One liter = 1 L = 1000 cm³. (Ignore the contribution due to the atmosphere.) NDuring heavy lifting, a disk between spinal vertebrae is subjected to a 5250-N compression force. a. What pressure is created on the disk, in pascals, assuming that the disk has a uniform circular cross section 2.2 cm in radius? b. What deformation is produced, in centimeters, if the disk is 0.65 cm thick and has a Young’s modulus of 1.65 × 109 N/m2?
- Consider the following section of pipe. The velocity of water (Pwater h₁ m S V₁ = 2.9 h₁ = 3.2 m V₂ = 6.7 h₂ = 1.9 m m S Point 1 = 1000 kg ) and height are given for two different points in the pipe. Use this information to answer the following questions. m What is the ratio of the cross-sectional area at point 1 to the cross-sectional area at point 2? A₁ A₂ What is the difference in pressure between points 1 and 2? (Find P2 - P₁. Include a negative sign if that's what you calculate.) P2 - P1 = Pa Which direction is the water flowing through the pipe? Point 2 h₂Consider a spherical ash particle of diameter 65 µm, falling from a volcano at a high elevation in air whose temperature is −50°C and whose pressure is 55 kPa. The density of air is 0.8588 kg/m3 and its viscosity is 1.474 × 10−5 kg/m⋅s. The density of the particle is 1240 kg/m3. The drag force on a sphere in creeping flow is given by FD = 3??VD. The terminal velocity of this particle at this altitude is (a) 0.096 m/s (b) 0.123 m/s (c) 0.194 m/s (d ) 0.225 m/s (e) 0.276 m/s