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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Chapter 9.2, Problem 2CC
A simple expression for the velocity of molecules in a gas is:
Assume the constant K is dimensionless, the velocity (v) is given in feet per second [ft/s], and density (ρ) in grams per cubic centimeter [g/cm3]. What are the fundamental dimensions of the variable φ?
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The 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]
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.
A graphing calculator is recommended.
If a rock is thrown upward on the planet Mars with a velocity 8 m/s, its height in meters t seconds later is given by y
(a) Find the average velocity (in m/s) over the given time intervals.
(i) [1, 2]
(ii) [1, 1.5]
(iii) [1, 1.1]
(iv) [1, 1.01]
(v) [1, 1.001]
m/s
m/s
m/s
m/s
m/s
(b) Use your answers from part (a) to estimate the instantaneous velocity of the rock (in m/s) when t = 1.
m/s
= 8t - 1.86t². (Round your answers to two decimal places.)
Chapter 9 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
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...
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