In a pollution control experiment, minute solid particles (typical mass 1 × 10−13 slug) are dropped in air. The terminal speed of the particles is measured to be 0.2 ft/s. The drag of these particles is given by FD = kV, where V is the instantaneous particle speed. Find the value of the constant k. Find the time required to reach 99 percent of terminal speed.
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
Chapter 1 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Additional Engineering Textbook Solutions
Engineering Mechanics: Statics
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Fundamentals of Heat and Mass Transfer
Applied Statics and Strength of Materials (6th Edition)
Statics and Mechanics of Materials (5th Edition)
Heating Ventilating and Air Conditioning: Analysis and Design
- Express a speed of 20 nm/h (1 nautical mile = 6076 ft)in units of kilometers per minute.arrow_forwardThe Reynold's number of a sphere falling in air is 1E6. If the sphere's radius is 1ft, what is its velocity? Density of air is 0.00234 slug/ft³ and viscosity of air is 3.8E-7 lbf-sec/ft²A. 2.5 ft/sB. 5.1 ft/sC. 40.6 ft/sD. 81.2 ft/sarrow_forwardIn the vertical jump, an athlete starts from a crouch and jumps upward as high as possible. Even the best athletes speed little more than 1.00 s in the air (their "hang time"). Treat the athlete as a particle and let their ymax be their maximum height above the floor. To explain why they seem to hang in the air, calculate the ratio of the time they are above ymax/2 to the time it takes them to go from the floor to that height. Ignore air resistance.arrow_forward
- Review ConstantS In the vertical jump, an athlete starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat the athlete as a particle and let ymax be his maximum height above the floor. Part A To explain why he seems to hang in the air, calculate the ratio of the time he is above ymax/2 (moving up from ymax /2 to ymax and then moving down to ymax/2) to the time it takes him to go from the floor to that height. Ignore air resistance. ΑΣφ. ?arrow_forward22 A partially submerged body is towed in water. The resistance R to its motion depends on the density p, the viscosity of water, length 1 of the body, velocity V of the body and acceleration due to gravity. Show that the resistance to motion can be expressed in the form R = P²²V² + [(HV) (1) TVarrow_forwardHow much heat is absorbed by a 27.0 g sample of water in going from liquid at 38.2 °C to steam at 119 °C and a pressure of 1.00 atm? Use the data in the following table. Express your answer in kilojoules. Pay attention to units! Some Thermal Properties of Water Property Specific heat (J/g °C) Solid Liquid Gas AHfusion (kJ/mol; at 0 °C) A Hvaporization (kJ/mol; at 100 °C) A Hsublimation (kJ/mol) Melting point (°C) Boiling point (°C) Answer: Value 2.07 4.18 2.01 6.01 40.6 50.9 0 100arrow_forward
- 1 (a) A plate 0.05mm distant from a fixed plate moves at 1.15 m/s and required a force per unit area of 2.7 N/m2 to maintain this speed with using an oil of specific gravity 0.75. Find the dynamic viscosity and kinematic viscosity of the fluid between the plates. 1 (b) Calculate the specific weight, density, and the specific gravity of a liquid having a volume of 665150 cm³ and weight of 71 kN (ENTER ONLY THE VALUES BY REFERRING THE UNITS GIVEN) 1 (a) The dynamic viscosity of the fluid (in Centipoise) The kinematic viscosity of the fluid (in stokes) 1 (b) Specific Weight in (kN/m3) Density of liquid (in kg/m2) Specific gravity of liquid Windows buarrow_forwardIn order to test the flow over the surface of an airplane wing, a model is built to a scale of 1/17 and is tested in water. The airplane is designed to fly at 850 km/h. Take the temperature of both the air and the water to be 20°C. 850 km/h Part A What should the velocity of the model be in order to maintain the same Reynolds number? Express your answer in kilometers per hour to three significant figures. Hint 1. How to approach the problem Recall the expression for the Reynolds number through v, V and Land equate the numbers of the prototype and of the model.arrow_forward2. On an alien planet (with unknown gravity), a 5 kilogram object is dropped from rest 10 meters above the ground. In the atmosphere of this planet, the object is estimated to have a drag constant of –3 kg/sec. (Assume drag is proportional to velocity) The object takes 15 seconds to hit the ground. Use this information to calculate the acceleration due to gravity on this planet.arrow_forward
- Please Aspaarrow_forwardA fluid is being pumped through a pipe. The density of fluid is 872 kg/m³. The viscosity is 2.8x102 Pa.s. The velocity in the pipe is 5.9 m/s. If the Reynolds number is 2100. a- What is the pipe cross-sectional area? b- If the pipe cross-sectional area increased 1.5 fold under same Reynold number, density and viscosity, what is the new velocity?arrow_forwardGlobal warming will produce rising sea levels partly due to melting ice caps and partly due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length, Ah (in mm), of a column of water 1.5 km high for a temperature increase of 1.2 °C.Assume the column is not free to expand sideways. As a model of the ocean, that is a reasonable approximation, as only parts of the ocean very close to the surface can expand sideways onto land, and only to a limited degree. As another approximation, neglect the fact that ocean warming is not uniform with depth. Properties of water: 3 = 210 x 10 /C. c= 4186 J/kg - °C, L; = 334 kJ/kg, Le = 2256 kJ/kg Enter you answer below (to the nearest mm): Ah (in mm) = Type your answer.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY