Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 1, Problem 13P
For each quantity listed, indicate dimensions using mass as a primary dimension, and give typical SI and English units:
- (a) Power
- (b) Pressure
- (c) Modulus of elasticity
- (d) Angular velocity
- (e) Energy
- (f) Moment of a force
- (g) Momentum
- (h) Shear stress
- (i) Strain
- (j) Angular momentum
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Q1/ complete the dimensional formula and SI units for table.
US
Physical
Quantity
SI. No
Dimensional Formula
S.I Unit
customary
unit
Area (A)
work (w)
3
Density (d)
4
Speed (s)
stress (6)
Acceleration
(a)
Q2/ Suppose we are told that the acceleration a of a particle moving with uniform
speed v in a circle of radius r is proportional to some power of r, say r", and some
power of v, say vm , also some power of mass, say m". Determine the values of n
and m and o
Q3/ Show that the expression (x, = x +v, t+ % a t) is dimensionally correct, where
X, and x, are the position and a is the acceleration, and t is the time, v is the
velocity.
Write the primary dimensions of each of the following variables, showing all your work: (a) specific heat at constant pressure cp; (b) specific weight ? g; (c) specific enthalpy h.
Units and dimensions are important in any engineering analysis. This problem is about that.
In an old heat transfer textbook, you found the following equation for some specific heat transfer problem.
Ə²T Q
+
əx² λ
ƏT
Ət
You know that T is temperature (K) and x is the x-coordinate,
which is measured in meters. You also know that t is time (s) and the book uses as the symbol for
thermal conductivity, whose unit is W/m.K. What must be the units of Q and B?
Chapter 1 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 1 - A number of common substances are Some of these...Ch. 1 - Give a word statement of each of the five basic...Ch. 1 - The barrel of a bicycle tire pump becomes quite...Ch. 1 - Very small particles moving in fluids are known to...Ch. 1 - In a combustion process, gasoline particles are to...Ch. 1 - In a pollution control experiment, minute solid...Ch. 1 - A rocket payload with a weight on earth of 2000 lb...Ch. 1 - A cubic metre of air at 101 kPa absolute and 15C...Ch. 1 - Calculate the specific weight, specific volume,...Ch. 1 - For Problem 1.6, find the distance the particles...
Ch. 1 - A sky diver with a mass of 70 kg jumps from an...Ch. 1 - The English perfected the longbow as a weapon...Ch. 1 - For each quantity listed, indicate dimensions...Ch. 1 - The density of a sample of sea water is 1.99...Ch. 1 - A pump is rated at 50 hp. What is the rating in kW...Ch. 1 - A fluid occupying 3.2m3 has a mass of 4 Mg....Ch. 1 - If a power plant is rated at 2000 MW output and...Ch. 1 - For each quantity listed, indicate dimensions...Ch. 1 - Derive the following conversion factors: (a)...Ch. 1 - Express the following in SI units: (a) 5 acreft...Ch. 1 - Express the following in SI units: (a) 100...Ch. 1 - Express the following in BG units: (a) 50 m2 (b)...Ch. 1 - While youre waiting for the ribs to cook, you muse...Ch. 1 - Derive the following conversion factors: (a)...Ch. 1 - The kilogram force is commonly used in Europe as a...Ch. 1 - From thermodynamics, we know that the coefficient...Ch. 1 - The maximum theoretical flow rate (slug/s) through...Ch. 1 - The mean free path of a molecule of gas is the...Ch. 1 - A container weighs 3.5 lbf when empty. When filled...Ch. 1 - A parameter that is often used in describing pump...Ch. 1 - Calculate the density of standard air in a...Ch. 1 - The mass of the standard American golf ball is...Ch. 1 - A can of pet food has the following internal...Ch. 1 - The mass flow rate in a water flow system...Ch. 1 - The mass flow rate of water in a tube is measured...Ch. 1 - The mass of the standard British golf ball is 45.9...Ch. 1 - From Appendix A, the viscosity (Ns/m2) of water at...Ch. 1 - An enthusiast magazine publishes data from its...Ch. 1 - The height of a building may be estimated by...Ch. 1 - An American golf ball is described in Problem 1.32...
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