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- Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. Surfaces: x²+2y+2z=6 y=2 Point 1 Find the equations for the tangent line. Let z = +2t 2 x= = (Type an expression using t as the variable.) y= Z= = (Type an expression using t as the variable.) = (Type an expression using t as the variable.)Where R is the gas constant e, NA is the Avogadro’s number, of a medium, and a is the radius of the spherical particle (or hydrodynamic radius of a molecule). 1. Determine the absolute Avogadro’s Number using an estimated diffusion coefficient of 1 mm particle. The temperature is 23 °C. The dynamic viscosity of water at 23 C is 0.9321 mPa.S. Use 0.50056654 mm2/s for D. Show full work with units included.E.
- 69 Gpa, = 0.35)is loaded by an axiel force of 3N, m24mm 12mm 15mm (al Delermine he avetuge ponnal stress ln sechon AB and BC of the chaft at locations away from thefillet Section AB, = Section BC, o rid (O)Determine the change of thee diameter in seien AD due to Polsson's effect. Section AB, Ad%= (c) Determine te hrbest nonnd stress al the filt consideing sTnss concentration. Athe fillet, o= (d) Determine the nommal and shear stresses on the oblique surface that has an inxline angle of Fwiththe nomal cross secbon of the shaft in section AB as shown. pwa the otliqueA poiseuille flow experiment was carried out to measure the viscosity of air at 298 K. The sample was allowed to flow through a 100 cm tube of internal diameter 1 mm. The high pressure end was at 865 torr and the low pressure end was at 760 torr. The volume was measured at the latter pressure. In 59 seconds a volume of 90.2 cm^3 passed through the tube. What is the viscosity in cp of air at this temperatureThe collision diameter of N2 is 3.74 x 10-10 m at 298.15 K and 101.325 kPa. Its average speed is 474.6 ms-1. Calculate the following:(a) mean free path(b) the average number of collisions ZA experienced by one molecule n unit time(c) the average number of collisions ZAA per unit volume per unit time for N2
- A water molecule at 25ºC carries out an average displacement of 0.037 cm. after 10 seconds. At 120ºC and 1 atm. depression. Calculate its diffusion coefficient and its average displacement in 10 seconds.Data. The viscosity of water at 25ºC is 0.8937x10-2 g.s-1cm-1. Bring your collision area closer to that of a circle.The 100-lbf crate is initially stationary. The coefficients of friction between thecrate and the inclined surface are μs = 0.20 and μk = 0.16. Determine whether the crate slips if thehorizontal force F = 90 lbf. If the crate slips, determine how far the crate moves from its initialposition in 2 seconds. Indicate the tendency for motion.m=9 n=3
- Пrр dv 8nL using a propagation of errors technique as applied to Poiseuille's law d error in the capillary radius (er/r) enters fourfold into the relative error of the viscosity. , show that the relativeDetermine the absolute pressure in torr exerted on an object submerged 1000 m below the surface of the sea. The density of sea wate is 1020 kg/m3 and the acceleration due to gravity is 9.7 m/s2. The local atmospheric pressure is 0.98 bar.Viscometer is used to measure the viscosity of a series of dilute solutions of a polymer in toluene at 30°C. (1) Intrinsic viscosity is the most useful of the various viscosity designations because it can be related to molecular weight by the Mark-Houwink-Sakurada equation, [n] = KM. Calculate the viscosity average molecular weight for this polymer by using the data given in Table 2. Given that the Mark-Houwink constant, K is 12 x 10-5 dl/g and a = 0.71. 0.505 0.595 0.804 Concentration 0 (g/dL) Flow time (s) 67.94 0.402 107.70 121.05 Table 2 132.77 161.39 1.207 227.84