Problem 3: A honeybee farmer wants to measure the absolute viscosity of his honey. You suggest dropping a 4mm steel ball into a container of honey and measure the time it takes for the ball to pass between two marks as shown. If the time is 13 seconds, what is the honey's viscosity. Assume the density of the honey is 1450 kg/m3 and the density of the steel ball is 7800 kg/m3. -Honey 5 cm

f. A study of the physical characteristic of honey was conducted due to the large demand of royal jelly. A capillary tube viscometer was used by a researcher in determining the viscosity of the honey. The viscometer is 250 mm long with an outside diameter of 55mm and effective thickness of 2.5mm and was used horizontally so that the effect of gravity was neglected. At an ambient temperature of 30°C the following data were collected: Q (cc/s) 1.25 1.55 1.80 2.05 ДР (Ра) 10.0 12.5 15 17.5 20.0 2.55 What will be the stress produced per unit length in the tube used in the production of royal jelly if it has a radius of 5mm and a flow of 1 capsule per second. (1 capsule = 0.85 cc of royal jelly).

A Newtonian fluid with absolute viscosity (Greek mu) flows past a flat surface. Due to the no-slip boundary condition, the velocity profile, u(y), develops near the surface and is given by u/U (shown in image provided) where the constant parameters U and delta have dimensions of velocity and length respectively.a) Develop an expression for the shear stress acting in any horizontal plane.b) Determine the shear stress acting on the surface at y = 0 and again at the edge of the boundarylayer, y = delta. (Express your answers in terms of Greek mu, the outer velocity U, and the boundary layer thickness delta.)

At a certain point on the wing of the aircraft, the pressure is 37,803 Pa and the density is 45% of the standard sea level values. Determine the temperature (Kelvin) at that point? Use standard metric units and round off answer to the nearest hundredths.

(Dimensional Analysis) If the velocity V in a fluid flow depends on a dimension 1, the fluid density p, and the viscosity µ, show that this implies that the Reynolds number Vlp/µ is constant.

Atmospheric pressure can be reported in several ways. At sea level the average atmospheric pressure is 15 lbs/sq in, or 101.3 kPa, or 760 mm Hg, or 1 atmosphere. Since all of these are equal, you can easily convert from one to the other. For example, if your tire pressure is 32.0 lbs/square inch, you can determine the kilopascals in the following manner: 32.0 lb/sq in X 101.3 kPa / 15 lbs/sq in = 216 kPa. Now, find the pressure in mm Hg of a container that has a pressure of 9.92 atm. mm Hg

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Q) The velocity v (m/s) of air flowing past a flat surface is measured at several distances y(m) away from the surface. Use Newton'sviscosity law to determine the shear stress t (N/m³) at the surface (y=0). dv 'dy Assume a value of dynamic viscosity =1.8* 10- N.s/hm² y, m V, m/s 0.002 0.287 0.006 0.899 0.012 |1.915 0.018 3.048 0.024 4.299 (r-7) Use two forward đifference approximations for h=0.006. Estimate the approximate percent relative error, &. b- , (t=?) Use two forward difference approximations with a step size of 0.012 (h=0.012). Estimate the approximatepercent relative error, , e.. (r-?) ApplyRichardson extrapolation. Estimate the approximate percent relative error, & (r=?) Use unequally spaced three data and the first-derivative of a second-order d- Langrange polynomial to evaluate the derivative (y=0) and shear stress. Estimate the approximate percent relative error, Eg Compare the approximate estimates of the error ([ed ) for the formulas used.