Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Textbook Question
Chapter 7, Problem 34RQ
Based on the following equation, express the unknown variable in terms of fundamental dimensions.
ε, in the expression: k = ε β + γ
where
β [=] watts per square meter kelvin4 (W/{m2K4 )]
γ [=] moles per kilogram (mol/kg]
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.(b). A force acts on a 2.80-kg particle in such a way that
the position of the particle
as a function of time is given by x =
Find the work done by the
force during the first 4.0 s.
[4,3] [CLO 3]
(3t - 4t²+ t³).
Answer
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] =
3. Consider the following equation. All three of the terms in parentheses are dimensionless groups.
Because kc is difficult to determine directly, the other variables are measured and kc is calculated
from the given equation.
26
THERMODYNAMICS 1
MODULE 1
FUNDAMENTAL CONCEPTS
]3 [ _d>vp_jo8
p DAB
kc D
= 0.023 [H
DAB
What is the estimated value of kc? What are the units of kc? Show your work.
The following values were measured:
D = 8.0 mm, DAB = 0.475 cm²/s, µ = 1.12 x 103 N-s/m², p = 1.00 x 10-³ g/cm³, v = 15.0 m/s.
Chapter 7 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
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