The column of the water tank shown in the figure is 92 m high and is made of reinforced concre with a tubular cross section of inner diameter 2.6 m and outer diameter 3.2 m. The tank has a ma of 3.3 x 105 kg when filled with water. By neglecting the mass of the column and assuming t Young s modulus of reinforced concrete as 30 GPa, determine the following: 1. The natural frequency of transverse vibration of the water tank (rad/s). 2. The natural time period of transverse vibration of the water tank (seconds). 3. The phase angle of the water tank due to an initial transverse displacement of 0. m (rads): 4. The maximum velocity experienced by the water tank (m/s). 5 The maximum acceleration experienced by the water ton
The column of the water tank shown in the figure is 92 m high and is made of reinforced concre with a tubular cross section of inner diameter 2.6 m and outer diameter 3.2 m. The tank has a ma of 3.3 x 105 kg when filled with water. By neglecting the mass of the column and assuming t Young s modulus of reinforced concrete as 30 GPa, determine the following: 1. The natural frequency of transverse vibration of the water tank (rad/s). 2. The natural time period of transverse vibration of the water tank (seconds). 3. The phase angle of the water tank due to an initial transverse displacement of 0. m (rads): 4. The maximum velocity experienced by the water tank (m/s). 5 The maximum acceleration experienced by the water ton
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![Question 1
The column of the water tank shown in the figure is 92 m high and is made of reinforced concrete
with a tubular cross section of inner diameter 2.6 m and outer diameter 3.2 m. The tank has a mass
105
of 3.3 x kg when filled with water. By neglecting the mass of the column and assuming the
Young s modulus of reinforced concrete as 30 GPa, determine the following:
1. The natural frequency of transverse vibration of the water tank (rad/s).
2. The natural time period of transverse vibration of the water tank (seconds).
3. The phase angle of the water tank due to an initial transverse displacement of 0.34
m (rads):
4. The maximum velocity experienced by the water tank (m/s).
5. The maximum acceleration experienced by the water tank (m/s).
(Note, submit your answer to an accuracy of 3 decimal places)
x(t)
(Note, submit your answer to an accuracy of 3 decimal places
x(t)
m
7777777](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5999ab62-d23f-43a5-a099-3ce74ee164c4%2Fd2960bcf-30f0-4d52-9bce-f74202226e2c%2Fatrk16p_processed.png&w=3840&q=75)
Transcribed Image Text:Question 1
The column of the water tank shown in the figure is 92 m high and is made of reinforced concrete
with a tubular cross section of inner diameter 2.6 m and outer diameter 3.2 m. The tank has a mass
105
of 3.3 x kg when filled with water. By neglecting the mass of the column and assuming the
Young s modulus of reinforced concrete as 30 GPa, determine the following:
1. The natural frequency of transverse vibration of the water tank (rad/s).
2. The natural time period of transverse vibration of the water tank (seconds).
3. The phase angle of the water tank due to an initial transverse displacement of 0.34
m (rads):
4. The maximum velocity experienced by the water tank (m/s).
5. The maximum acceleration experienced by the water tank (m/s).
(Note, submit your answer to an accuracy of 3 decimal places)
x(t)
(Note, submit your answer to an accuracy of 3 decimal places
x(t)
m
7777777
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