Electricity for Refrigeration, Heating, and Air Conditioning
9th Edition
ISBN: 9781285179988
Author: Russell E. Smith
Publisher: Cengage Learning
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Chapter 9, Problem 33RQ
To determine
The process of troubleshooting any electric motor.
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m₂ = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
www.m
k₁ = 3
(y₁ = 0).
m₁ = 1
k2=2
(y₂ = 0)
|m₂ = 1
Y2
y 2
System in
static
equilibrium
(Net change in
spring length
=32-31)
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁(t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f(t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
Analytically (hand calculations)
Chapter 9 Solutions
Electricity for Refrigeration, Heating, and Air Conditioning
Ch. 9 - What is magnetism?
Ch. 9 - How is an electromagnet produced?
Ch. 9 - Which of the following correctly lists the motor’s...Ch. 9 - Prob. 14RQCh. 9 - Prob. 15RQCh. 9 - Prob. 16RQCh. 9 - Prob. 17RQCh. 9 - Prob. 18RQCh. 9 - Prob. 19RQCh. 9 - Prob. 20RQ
Ch. 9 - Prob. 21RQCh. 9 - What is the unit of measurement for the strength...Ch. 9 - Prob. 23RQCh. 9 - Prob. 24RQCh. 9 - List the five capacitor replacement rules.
Ch. 9 - Prob. 26RQCh. 9 - Prob. 27RQCh. 9 - What are the advantages and disadvantages of using...Ch. 9 - Prob. 29RQCh. 9 - Prob. 30RQCh. 9 - Prob. 31RQCh. 9 - True or False: All starting apparatuses are...Ch. 9 - Prob. 33RQCh. 9 - Which of the following is the capacitance of an...Ch. 9 - Which of the following is the capacitance of two...Ch. 9 - If a capacitor produces 15 ampere on a 240-volt...Ch. 9 - Which of the following capacitors could be used to...Ch. 9 - Which of the following capacitors could be used to...Ch. 9 - Which of the following capacitors or combination...Ch. 9 - Which of the following capacitors or combination...Ch. 9 - Find the common, start, and run terminals of the...Ch. 9 - Briefly explain the procedure for troubleshooting...Ch. 9 - What are the electrical failure categories for...Ch. 9 - What precautions should be taken when checking...Ch. 9 - Prob. 45RQCh. 9 - Prob. 46RQCh. 9 - Explain the construction of an ECM.
Ch. 9 - An ECM is a __________.
three-phase, AC...Ch. 9 - True or False: The resistance readings of the...Ch. 9 - True or False: The line voltage power supply of an...
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