EBK THINKING LIKE AN ENGINEER
4th Edition
ISBN: 8220103633512
Author: OHLAND
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 9, Problem 9RQ
- 9. We have been asked to determine a set of dimensionless numbers to evaluate the speed of a wave in a shallow liquid.
| ρ = Density of the liquid | [=] grams per cubic centimeter [g/cm3] |
| D = Depth of the liquid | [=] feet [ft] |
| v = Velocity of the wave | [=] miles per hour [mph or mi/h] |
| σ = Surface tension of the liquid | [=] joules per square meter [J/m2] |
| µ = Viscosity of the liquid | [=] pascal seconds [Pa s] |
| T = Temperature of the liquid | [=] kelvin [K] |
- a. Analyze this system using Rayleigh’s method.
- b. How does this analysis change if gravity (g, in meters per second squared [m/s2]) is included?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
You are heating motor oil to make it flow better from the original shipping container to the new container you built. You know that the heating rate of the motor oil is 2.50 degrees Celsius per slug second [°C
/(slug s)]. Express this heating rate in units of degrees Fahrenheit per pound-mass second [°F/ (lbm s)].
Click the icon to view the conversion table.
Click the icon to view the factors for temperature intervals conversion
The heating rate is
°F / (lbm s). (Round your answer to three decimal places.)
An automobile's power is proportional to the cube of its speed on a level road in still air. This relationship between speed and engine power for the Gofaster model XP9 is:
[mph]3 = 9600 [hp].
The XP9 has a 180 hp engine.
What is its max speed on a level road in still air?
physical quantities m, r, u, a, and t with dimensions [m] = M, [r]= L, [v] = LT, [a] = LT-2, and [t] = T.
Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L,
T, and exponents.
Assume that each of the following equations is dimensionally consistent.
F = ma
[F] =
Chapter 9 Solutions
EBK THINKING LIKE AN ENGINEER
Ch. 9.1 - The heat loss (Q/t, in units of joules per second...Ch. 9.2 - A simple expression for the velocity of molecules...Ch. 9.2 - What are the dimensions of the value 6 in the...Ch. 9.4 - The Euler number is a function of the pressure...Ch. 9 - Complete the following table. Dimensions ...Ch. 9 - Complete the following table. Dimensions ...Ch. 9 - Calculate the numerical value of each of the...Ch. 9 - Calculate the numerical value of each of the...Ch. 9 - A fluid with a specific gravity of 0.91 and a...Ch. 9 - Brine, with a density of 1.25 grams per cubic...
Ch. 9 - When a simple turbine is used for mixing, the...Ch. 9 - History suggests that Newton developed his idea...Ch. 9 - It is proposed to create a set of dimensionless...Ch. 9 - 1. While researching fluid dynamics, you come...Ch. 9 - 2. While researching fluid dynamics, you came...Ch. 9 - 3. While researching fluid dynamics, you come...Ch. 9 - 4. The Arrhenius number (Ar) is the dimensionless...Ch. 9 - 5. The Biot number (Bi) is the dimensionless...Ch. 9 - 6. A biodegradable fuel having a specific gravity...Ch. 9 - 7. A sludge mixture having a specific gravity of...Ch. 9 - 8. Water (specific gravity = 1.02; viscosity =...Ch. 9 - 9. We have been asked to determine a set of...Ch. 9 - 10. The Peclet number is used in heat transfer in...Ch. 9 - 11. When a fluid flows slowly across a flat plate...Ch. 9 - 12. In modeling the flow of liquid in a piping...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- T1- Ambient tempeture [k] t- inside tempeture [k] hoo-convective heat transfer coefficient of the air [W/m^2*k] t-thickness of walls[m] Kthermal conductivity (W/m-K) -(VIP) d-cube size [m] Ai-cube area inside [m^2] Ao-cube area outside [m^2] Ts-surface tempeture[k][ E-emissivity aluminium foil - Stefan Boltzmann constant W·m-2 K-4 303 290 10 0.08 0.007 1 6 6.96 300 0.03 5.67E-08 Q heat flux [W] ΔΤ ΣR F T₁ 111.0 0000 006%arrow_forwardThe force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec x, where x is the distance (in meters) that the cylinder is extended in its cycle. The domain of F is [0, /3], and F(0) = 500. (a) Find F as a function of x. (b) Find the average force exerted by the press over the interval [0, /3]arrow_forwardQ2) SI engine operating at 4000 RPM has a six-liter, V8. The compression ratio rc = 9:1, the volumetric efficiency nV = 0.91, and the bore and stroke are related as stroke S = 0.8 B. Calculate: (a) Stroke length. [cm] (b) Average piston speed. [m/sec] (c) Clearance volume of one cylinder. [cm3] (d) Air flow * [rate into engine. [kg/secarrow_forward
- The following processes occurs in a reversible thermodynamic cycle: 1-2: Reversible polytropic compression at pressure [X] bar at volume [Y] m3 to a pressure [Z] bar and specific volume [A] m3/kg. The index of compression may be taken as n. 2-3: Reversibly expansion with expansion index of 2 to pressure [B] bar. 3-1: Reversible cooling at constant volume to the initial state. What are the final attempt values of X, Y, Z, A and B from the Part A of the eThuto Assessment. calculated formula similar question? X= ; Y= ; Z= ; A= ; B=arrow_forward7. When you work for a company that studies the performance of car engines, you are tasked with accurately measuring the amount of air intake by car engines. A gas flow meter was introduced from the United States to measure the amount of air. This flow meter measures the flow rate using the pressure difference. Looking at the instruction manual of this flow meter, the following equations were found for the pressure difference head and volume flow [unit, volume/time]. ▷ Volumetric Flow Rate[ft°/min]: =(55.3658* DP-0.143168* DP^ 2)) However, DP is the head (water height) of the manometer, and the unit is inch to be. In the above equation, if you insert DP[inch], the air volume flow rate can be calculated and the unit of the volume flow rate is ft/min. Complex unit conversion is included in the constant in front of DP, so you don't need to worry about it. Before the experiment to measure the amount of air inhaled into the engine, the current atmospheric pressure and temperature were…arrow_forwardVelocity, v [m/s] (0,vo) Number Time, t [s] m (t₁, V₁) Given the above figure, where o = 2 m/s, v₁= 3 m/s, and ₁=1 s, what is the displacement over this time interval? Write your answer in metres to three significant figures. 00 BY SA USask Engineeringarrow_forward
- Solving dynamics problems in steps: 1. Collect data and assumptions 2. Desired result? 3. Make drawing/sketch of the (sub)problem 4. Equations and calculations 5. Answer and conclusions Furthermore: - Write down the steps clearly Check intermediate results (accuracy) Dimension check and units! Magnitude of number in line with expectation?arrow_forwardA particle of mass 0.17 kg follows a trajectory with an initial speed of 12.5 m.s¹ and an initial angle of 0.5 radians from the i axis (toward j). Gravity accelerates the mass downward at -9.81i [m.s¯²] and a force of (10-0.1t)j [N] acts on the particle. F. 0 必 Answer all questions to at least 3 significant figures. Enter your numerical answers in SI units but do not enter the units. What is the force acting on the mass toward i at 2.2 seconds? [N] When does the particle pass through u.i=0 [s] What is the j component of velocity at t=2.2 seconds? [m.s-¹]arrow_forward1.1 s) The overall size of the system (i.e. the shell) is 5.8 inch ID and a 27-inch long tube section. Assuming tubes are 1/2 inch in diameter (ignore thickness) and that the tubes are spaced with 1/4 inch between them. Estimate the number of tubes that will fit in the shell. O 36 O 60 O 13 O 46 QUESTION 2 1.22 area [ft²]. Og ft² 5 ft² O 17.66 ft2 10.6 ft2 Regardless of your answer to part 1.1, use 36 as the number of tubes and estimate the total heat transferarrow_forward
- A cylindrical pipe with a cross-sectional radius r = 1.40[cm] is plunged into a l = 2.30[m] tall open water drum that is initially completely filled with water (pwater = 1000 [kg/m3]). The pipe goes h1 = 0.35 [m] above the drum before dropping down h2 = 3.50 [m] below the base of the drum as shown. The cross-sectional radius of the top side of the pipe is R = 2.20 [cm].A. How fast is the water going out of this pipe?B. What's the liquid's pressure at the top of the pipe? Assume that the system is exposed to 1.00 [atm] of air pressure.C. What's the maximum height the pipe can go above the drum before the water stops flowing out of the pipe? For liquid flow to be continuous, the liquid’s pressure must not fall before its vapor pressure. Assume that vapor pressure, in this case, is 2.30 [kPa].arrow_forwardConsider the piston-cylinder assembly shown below. Heavy weights are added to the piston, compressing the gas. Assume that the gas reaches an internal pressure of 1.5 bar after the compression is done. The pressure outside the piston-cylinder is 1 bar. We also know that the piston diameter is 20 [cm.] With how much force doe the gas push upward on the piston (in Newtons?) Weights Piston System boundary Gas Ро garrow_forward1. While researching fluid dynamics, you come across a reference to the dimensionless number called the Laplace number, given by the equation below. SpL La = where: kg p= fluid density [=]: m3 H= fluid viscosity [=]- m-S L = length [=] ft What are the dimensions for delta, &?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Unit Conversion the Easy Way (Dimensional Analysis); Author: ketzbook;https://www.youtube.com/watch?v=HRe1mire4Gc;License: Standard YouTube License, CC-BY