Fluids in Motion - dubai

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Reference Information
Waves
Mathematics
ag = 9.81 m/s2
Simple Pendulum in Simple Harmonic Motion
Hooke’s Law
Felastic = –kx
T = 2
Wave Equation
v = fλ
Mass-Spring System in Simple Harmonic Motion
T = 2
1. If a mass of 0.75 kg attached to
a vertical spring stretches the
spring 5.0 m from its original
equilibrium position, what is
the spring constant?
(A) 0.15 N/m
(B) 1.5 N/m
(C) 2.0 N/m
(D) 2.4 N/m
(E) 150 N/m
2. What is the length of a
pendulum that oscillates with a
frequency of 0.21 Hz?
(A) 0.011 m
(B) 0.33 m
(C) 2.1 m
(D) 4.8 m
(E) 5.6 m
Mathematics continued
L
ag
m
k
3. What is the period of a massspring system with a mass of
25.0 kg and a spring constant
of 1.25 N/m?
(A) 0.990 s
(B) 1.40 s
(C) 19.8 s
(D) 28.1 s
(E) 631 s
4. What is the period of a
metronome that vibrates at a
frequency of 4.0 Hz?
(A) 0.25 s
(B) 0.40 s
(C) 2.0 s
(D) 15 s
(E) 240 s
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Name ________________________________ Class ____________________ Date _______________________
Questions 5–8 are based on the following illustration of a
wave traveling in the positive x direction with a frequency of
33.3 Hz.
5. What is the amplitude of the
wave?
(A) 5.0 cm
(B) 6.0 cm
(C) 10.0 cm
(D) 12.0 cm
(E) 20.0 cm
(E) 333 s
6. What is the wavelength of the
wave?
(A) 5.0 cm
(B) 6.0 cm
(C) 10.0 cm
(D) 12.0 cm
(E) 20.0 cm
7. What is the period of the
wave?
(A) 0.0300 s
(B) 3.00 s
(C) 33.3 s
(D) 166 s
Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics: Chapter 11
2
Mathematics
Name ________________________________ Class ____________________ Date _______________________
8. What is the speed of the wave?
(A) 0.0300 m/s
(B) 3.00 m/s
(C) 33.3 m/s
(D) 166 m/s
(E) 333 m/s
9. A sound wave has a frequency
of 3400 Hz and a wavelength
of 1.5 m in a certain medium.
What is the speed of the wave
in that medium?
(A) 4.4 × 10-4 m/s
(B) 2.9 × 10-4 m/s
(C) 1.9 m/s
(D) 2300 m/s
(E) ____________________________________________ 5100 m/s
10. A wave of frequency 42.5 Hz
travels at a speed of 3.5 m/s.
What is the wavelength of the
wave?
(A) 0.082 cm
(B) 8.2 cm
(C) 12 cm
(D) 150 cm
(E) 15,000 cm
Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics: Chapter 11
3
Mathematics
Name ________________________________ Class ____________________ Date _______________________
Fluids in Motion
Every second, 1.20 m3 of water enters a heating system through a pipe of medium width, A,
with a cross-sectional area of 0.200 m2. The water then flows into a wide pipe, B, with an
area of 0.600 m2, and flows out through a narrow pipe, C, with an area of 0.100 m2.
1. What is the flow rate in each pipe?
______________________________________________________________
2. What is the length of the segment of pipe A that contains 1.20 m3 of water? Sketch the
marks on the diagram above showing the segments of pipes B and C that would contain
the same amount of water. What is the length of each segment?
______________________________________________________________
3. How much time is required for water to travel the lengths you found in pipe A? in pipe B?
in pipe C?
______________________________________________________________
4. What is the flow speed of water in each pipe?
______________________________________________________________
5. Does the speed of water increase when it enters a narrow pipe? Does the flow rate
increase? Explain.
______________________________________________________________
______________________________________________________________
Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics: Chapter 11
4
Mathematics
Name ________________________________ Class ____________________ Date _______________________
Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics: Chapter 11
5
Mathematics
Name ________________________________ Class ____________________ Date _______________________
Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics: Chapter 11
6
Mathematics
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