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The dynamic viscosity of carbon dioxide at 50°C and 200°Care
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- A steel ball with the density of 6229 kg/m and the radius of 0,65 cm was dropped into the oil whose viscosity was to be measured as isseen in the figure. When the ball attains a constant velocity, the distance that the ball travelled was measured as 99 cm within the time interval of 4,7 sec. Before the experiment, the mass of the 100 ml-oil was measured as 2,1 gr. According to the data given above, find; a) the density of the oil (in kg/m ). (Please do not use any decimal digit.) b) the speed of the steel ball after the ball attains a constant velocity (in m/s). (Please use 4 decimal digits.) c) the dynamic viscosity of the oil (in Pa.s) (Please use 3 decimal digits.) d) the flow Reynolds number. (Please use 4 decimal digits.) Please solve this question step by step to reach correct answers. correct answers: a) 21 b) 0,2106 c) 2,715 d) 0,0212arrow_forwardThe kinematic viscosity of liquid oil is 20 stoke and relative density = 0.85. Find the dynamic viscosity of this liquid oil in Sl and British systems. (1 stoke = 1 cm/s, 1m 3.28 ft, 1ft 30.48 cm and 1kg = 2.2 lb). Choose the correct answer: a- In SI system 25 kg/m.s and in British system 16.6 Ib/ft.s b- In SI System 17 kg/m.s and in British system 1.17 Ib/ft.s c- In Sl system 20 kg/m.s and in British system 8.15 Ib/ft.sarrow_forwardSuppose a gas-filled incandescent light bulb is manufactured so that the gas inside the bulb is at atmospheric pressure (1 atm = 1.013 × 105 Pa) when the bulb has a temperature of 20.0 °C. Find the gauge pressure inside such a bulb when it is hot, assuming its average hot temperature is 75.0 °C. gauge pressure when hot: 1.87 X104 Incorrect The actual final pressure of the light bulb will be different than calculated in the first question because the glass bulb will expand. What will the final actual gauge pressure be, taking this into account? The volume expansion coefficient for glass is ß = 2.700 x 10-5 °C-1. final gauge pressure, accounting for glass expansion: 1.20 ×105 Pa Incorrect Paarrow_forward
- The quantities viscosity µ, velocity V, and surface tension Y may be combined into a dimensionless group. Find the combination which is proportional to µ. This group has a customary name, which begins with C. Can you guess its name?arrow_forwardQ2:- If the velocity of flow v, dynamic viscosity µ, bulk modulus of elasticity K and diameter of pipe D, using dimensional analysis, determine the general form of relationship between these variables.arrow_forward(b) The resistance R due to the motion of a boat depends on the velocity V, length L, viscosity of water u, density of water p and acceleration due to gravity g. Find and prove the following relationship, R = VLuf μ v2 Lgarrow_forward
- For most gases at standard or near standard conditions, the relationshipamong pressure, density, and temperature is given by the perfect gasequation of state: p = ρRT, where R is the specific gas constant. For airat near standard conditions, R = 287 J/(kg · K) in the International System of Units and R = 1716 ft · lb/(slug · ◦R) in the English Engineering System of Units. Using the above information, consider the following two cases: a. At a given point on the wing of a Boeing 727, the pressure andtemperature of the air are 1.9 × 104 N/m2 and 203 K, respectively.Calculate the density at this point.b. At a point in the test section of a supersonic wind tunnel, the pressureand density of the air are 1058 lb/ft2 and 1.23 × 10−3 slug/ft3,respectively. Calculate the temperature at this point.arrow_forwardWhat is the Helmholtz absolute viscosity of water at 670°R? What is the weight in lbf of a liquid that has a mass of 30lbm on earth with g=32.174ft/s2? Weight in lbf if the g=29ft/s2?arrow_forwardConsider a propeller spinning in air. The thrust produced by the propeller is given by T. The density of the air is p. The forward velocity of the air is V. The diameter of the propeller is D. The rotational velocity of the propeller is n. The dynamic viscosity of the air is u. Using Buckingham's pi theorem, find the non-dimensional formulation of T = f (p, V, D, n, µ). Note that the non-dimensional quantities are not sensitive to multiplicative inverses, i.e. and 2 have the same meaning, as does multiplication by a constant, for example, and 2 imply the same non-dimensional group. T pVD V nD T f( PµD pV V nD T pV VD nD =5( T pnD pD V O Oarrow_forward
- For liquid viscosity measurement, it is desired to create a viscometer consisting of two 30 cm long concentric cylinders. The diameter of the inner cylinder is 20 cm and the diameter of the outer cylinder is 20.2 cm. Since a torque of 0.13 N cinsm is required to rotate the inner cylinder with an angular velocity of 40 rad / s, what will be the viscosity of the fluid in the viscometer in Pa⋅s? Take the value of as 3.arrow_forwardQ1. A concentric cylinder viscometer is driven by a falling mass M connected by a cord and pulley to the inner cylmder. Annular gap of width a and height H has been filled with liquid to be tested. The speed of the falling mass is Vim. Develop an algebraic expression for the viscosity of the liquid. Evaluate the viscosity of the liquid using M= 0.1 Kg, R=50mm, H=80 mm, r-25mm, =0.20mm and Vim = 30 + ww XX Cord Puliey,arrow_forwardProblem 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 cmarrow_forward
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