1.The density P Determine how the density varies with pressure along the depth h. The density at the surface of the fluid is of a fluid varies with depth h, although its bulk modulus K can be assumed constant. Po.
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- 1. 2. If the gravitational force of the earth decreases, the most likely scenario(s) is (are): (1) (11) The iceberg will have a larger portion exposed above the sea level since its weight will be lower. The atmosphere is likely to be thinner as air molecules will find it easier to escape to outer space. (11) (111) (A) (B) (C) (D) (i) To solve a fluid dynamic problem completely, it must generally satisfy: (i) Conservation of mass. Conservation of momentum. Conservation of energy. (A) (B) (C) (D) (ii) (i) and (ii) None of the above (i) (11) (111) All of the aboveThe sketch below shows a cylindrical tank that is filled with a liquid of density p. The lid of the tank has a hole and atmospheric pressure is acting on the surface of the liquid. The tank rotates with a constant angular velocity w, such that the liquid surface is at a radius r directly on the underside of the lid, as shown. R "1 Pa Pa Do Figure source see [4] a) Determine the pressure distribution p in the fluid as a function of r and z. b) Find a formula for the force that acts on the lid due to the pressure of the liquid. c) What is the distance Do of the lowest level of the fluid surface to the bottom of the tank, based on the values provided. Gravitational acceleration: g = 9.81 m/s² Height: H = 0.5 m Radius: TI 0.3 m Angular velocity: 3.0 T/STimah Tasoh dam in Perlis has the dimensions of 20-m high and 770-m wide. It is filled with water of density equals to 1000 kg/m² and gravitational force equals to 9.81 m/s?. (a) The water from the dam is mixed with soap to make a soap solution and bubbles. When the bubbles are released into the air, they form nearly spherical shape. (i) Name the property of fluid that allow this situation to happen with its symbol. (ii) The soap bubble flew into the air and makes a diameter of 5 cm. If the surface tension of the soap solution in air at 1 atm and 20°C is 0.025 N/m, calculate the gauge pressure inside it. (iii) For a bigger diameter of 7 cm with the same soap solution parameters as in Question 1(a)(ii), determine the gauge pressure inside this new bubble. What can you derive from these differences and why?
- 1. The deformation of the fluid will continue as long as the 2. When designing gates, vessels, dams or other bodies that are submerged in a liquid, it is important not only to estimate the - 3. The surface tension is the tensile force per -- in any direction along the surface the surface tension. 4. The value of - specifies whether the fluid can be assumed compressible or incompressible. 5. Archimedes' principle indicates- 6. A truck is filled with gasoline. If the container (tank) on the truck undergoes a - - is applied. - but also to specify its location on the body. then the liquid surface will begin to rotate clockwise about the center of the container and will eventually maintain a fixed tilted position.Two spheres, one heavier and weighing12000 N and of diameter 1.2 m and the other lighter and weighing 4000 N, are tied with a rope and placed in seawater. The density of sea water is 1025 kg/m^3. It was found that the spheres floated vertically with the lighter sphere just under the water PROBLEM 0surface. Illustrate the problem before answering the following questions:a)Determine the diameter of the lighter sphere in meters.b) Determine the tension in the rope in Newtons.H.W.2/: The bottom quarter of a vertical cylindrical tank of total height 0.4 m and diameter 0.3 m is filled with a liquid (SG > 1, like glycerin) and the rest with water, as shown in the figure below. The tank is now rotated about its vertical axis at a constant angular speed of v. Determine (a) the value of the angular speed when the point P on the axis at the liquid-liquid interface touches the bottom of the tank and (b) the amount of water that would be spilled out at this angular speed? 3h h = 0.1 m D = 0.3 m
- 1) In the multi-fluid multi-bend manometer figure below, determine Ap between points A and B. All fluids are at 20°C. Find properties of fluids from appendices in the book. Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. A Kerosene Mercury- Benzene 20 cm 18 cm 40 cm Air B Water 19 cm 14 cmHere are these questions if I could get help with themIf a spherical storage tank holds 40,000 gallons (120,000 liters) of water,what diameter must it have?If a cylindrical storage tank has a 40-foot (12 m) diameter circular 05::=how high must it be to hold 1 million gallons (3 million liters)?If water is moving at a rate of 3.2 ft3/sec (90,000 cc/sec), how manygallons (liters) per minute is this?If the specific gravity of gold is 19.0. what is the weight of a cubic inch(cubic centimeter) of gold? A cubic foot (cubic meter)?A solid sphere, of diameter 18 cm, fl oats in 20 ° C waterwith 1527 cubic centimeters exposed above the surface.( a ) What are the weight and specifi c gravity of this sphere?( b ) Will it fl oat in 20 ° C gasoline? If so, how many cubiccentimeters will be exposed?
- mass of the car in slugs, (c) the weight of the car in pounds. Problem No. 3: Using Newton's law of universal gravitation, calculate the weight of a 70-kg man standing on the surface of the earth. Verify your answer by calculating the weight using W=mg. The mass and radius of the earth are M = 5.976×1024 kg and R = 6371 km, %3D eC1 (a). A lubricating oil having the dynamic viscosity of 0.057 poise and specific gravity of 1.1. Calculate () the density of oil in kg/m?, (i) the weight density of oil in N/m². ii) the kinematic viscosity in stokes, and (iv) the specific volume in m /kg. (4 Marks) C1 (b). The capillary effect in a glass tube of 2.1 mm diameter, when immersed in (1) water and (2) mercury are 8.5 mm and -2.8 mm respectively. Calculate the value of surface tension in contact with air for water and mercury in N/m. Take, the contact angle for water =0° and mercury =130°. (3 Marks) (Enter only the values by referring to the unit given. Also, upload the handwritten answers in the link provided) C1(a).6).the density of oil in kg/m (1 Mark) C1(a). (i) the weight density of oil in N/m? (1 Mark) C1(a). (ii) the kinematic viscosity in stokes (1 Mark) C1a). (iv) the specific volume in m?/kg (1 Mark) C1 (b). 1.the value of surface tension (water) in N/m (1.5 Marks) C1 (b). 2. the value of surface tension…Prove that the pressure at a point is equal in all directions for a fluid at rest with respect to thestationary Cartesian coordinate system XYZ. Comparatively analyse also the definitions of stress andpressure