EBK FUNDAMENTALS OF AERODYNAMICS
6th Edition
ISBN: 9781259681486
Author: Anderson
Publisher: MCGRAW HILL BOOK COMPANY
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Textbook Question
Chapter 1, Problem 1.14P
Derive Archimedes’ principle using a body of general shape.
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Students have asked these similar questions
Specifically a dynamics problem. Question in pic below.
Answer: omega = 6.11 rad/s
The largest animal is found in sea as it requires no energy to support its weight
by using hydrostatic principle. However bird has to support its own weight by
using Bernoulli principle to create pressure difference while in flight. Bird cannot
be very large and there are also fewer species of large bird than small bird. The
reasons are:
(i)
(ii)
There is less food in the air than in the sea.
The bone structure of the bird has to be light and it is structurally more
difficult to maintain the strength to weight ratio as the bird becomes
larger.
The lift and drag on a bird is due to viscous and pressure forces. They are
surface forces proportional to the length square while the weight of a bird
due to gravity is proportional to the length cube. At large length scale,
length square is much smaller than length cube and it becomes difficult to
generate lift to support a bird in flight.
(A)
(B)
(C)
(i) and (ii)
(i) and (iii)
(ii) and (iii)
All of the above
Provide the complete step-bu-step solution, conversion of units, given, and sketch for this attached problem.
Chapter 1 Solutions
EBK FUNDAMENTALS OF AERODYNAMICS
Ch. 1 - For most gases at standard or near standard...Ch. 1 - Starting with Equations (1.7),(1.8), and (1.11),...Ch. 1 - Consider an infinitely thin flat plate of chord c...Ch. 1 - Consider an infinitely thin flat plate with a 1 m...Ch. 1 - Consider an airfoil at 12 angle of attack. The...Ch. 1 - Consider an NACA 2412 airfoil (the meaning of the...Ch. 1 - The drag on the hull of a ship depends in part on...Ch. 1 - The shock waves on a vehicle in supersonic flight...Ch. 1 - Consider two different flows over geometrically...Ch. 1 - Consider a Lear jet flying at a velocity of 250...
Ch. 1 - A U-tube mercury manometer is used to measure the...Ch. 1 - The German Zeppeins of World War I were dirigibles...Ch. 1 - Consider a circular cylinder in a hypersonic flow,...Ch. 1 - Derive Archimedes principle using a body of...Ch. 1 - Consider a light, single-engine, propeller-driven...Ch. 1 - Consider a flat plate at zero angle of attack in a...Ch. 1 - Consider the Space Shuttle during its atmospheric...Ch. 1 - The purpose of this problem is to give you a feel...Ch. 1 - For the design of their gliders in 1900 and 1901,...Ch. 1 - Consider the existence of a forward-facing axial...
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- (a) Determine a differential equation for the velocity v(t) of a mass m sinking in water that imparts a resistance proportional to the square of the instantaneous velocity (with a constant of proportionality k > 0) and also exerts an upward buoyant force whose magnitude is given by Archimedes' principle, which states that the upward buoyant force has magnitude equal to the weight of the water displaced. Assume that the positive direction is downward. (Let V be the volume of the object, p the weight density of water, and g the acceleration due to gravity.) dv pVg dt m m (b) Solve the differential equation in part (a). ** (v- ) () mg k mg V - v(t) k (c) Determine the limiting, or terminal, velocity of the sinking mass. mg k lim v(t) =arrow_forwardA cube of side (a) and mass (M) is initially sitting fully submerged at the bottom of a container filled with a liquid of kinematic viscosity v and density p. The container has a square cross-section of side (a+a/5) and the cube is sitting right at the middle of the container base. (a) A force (F) starts pulling the cube up at a constant velocity (U). Develop an expression for the force in terms of (U, M. a. g, p and v). You may assume that the velocity in the gap between the cube's sides and the container walls is linear. The expression for (F) is to be valid as long as the cube remains submerged. (b) After the cube reaches the water surface, it continues to be pulled up by the same force. Develop a differential equation for the variation with time of the fraction of the cube that is submerged in water.arrow_forward3 A fluid of density 1200 kg/m° at 1 atm pressure is compressed to 101 atm pressure isothermally. If the isothermal compression is 4.8, 105 atm. -1 the 3. increase in density in kg/m of fluid isarrow_forward
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