Mechanical Engineering Exam > Mechanical Engineering Questions > A vibrating machine is isolated from the floo...
Start Learning for Free
A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation is
- a)1/2
- b)3/4
- c)4/3
- d)2
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A vibrating machine is isolated from the floor using springs, if the r...
Given r = 0.5
Due to isolation ξ = 0
Transmissibility ratio,
Due to isolation ξ = 0
Transmissibility ratio,
Most Upvoted Answer
A vibrating machine is isolated from the floor using springs, if the r...
Introduction:
In this scenario, a vibrating machine is mounted on springs to isolate it from the floor. The ratio of the excitation frequency of the machine to the natural frequency of the isolation system is given as 0.5. We need to find the transmissibility ratio of the isolation system.
Understanding the problem:
To understand the problem, let's first define a few terms:
1. Excitation frequency: It is the frequency at which the vibrating machine is operating.
2. Natural frequency: It is the inherent frequency at which the isolation system tends to vibrate when excited.
3. Transmissibility ratio: It is the ratio of the amplitude of vibration transmitted to the isolated system to the amplitude of vibration of the excitation.
Solution:
To find the transmissibility ratio, we can use the formula:
Transmissibility Ratio = 1 / √(1 - (excitation frequency / natural frequency)^2)
Given that the excitation frequency / natural frequency = 0.5, we can substitute this value in the formula and simplify it.
Transmissibility Ratio = 1 / √(1 - (0.5)^2)
= 1 / √(1 - 0.25)
= 1 / √(0.75)
= 1 / 0.866
= 1.154
Therefore, the transmissibility ratio of the isolation system is approximately 1.154.
Conclusion:
The correct answer is option C) 4/3.
In this scenario, a vibrating machine is mounted on springs to isolate it from the floor. The ratio of the excitation frequency of the machine to the natural frequency of the isolation system is given as 0.5. We need to find the transmissibility ratio of the isolation system.
Understanding the problem:
To understand the problem, let's first define a few terms:
1. Excitation frequency: It is the frequency at which the vibrating machine is operating.
2. Natural frequency: It is the inherent frequency at which the isolation system tends to vibrate when excited.
3. Transmissibility ratio: It is the ratio of the amplitude of vibration transmitted to the isolated system to the amplitude of vibration of the excitation.
Solution:
To find the transmissibility ratio, we can use the formula:
Transmissibility Ratio = 1 / √(1 - (excitation frequency / natural frequency)^2)
Given that the excitation frequency / natural frequency = 0.5, we can substitute this value in the formula and simplify it.
Transmissibility Ratio = 1 / √(1 - (0.5)^2)
= 1 / √(1 - 0.25)
= 1 / √(0.75)
= 1 / 0.866
= 1.154
Therefore, the transmissibility ratio of the isolation system is approximately 1.154.
Conclusion:
The correct answer is option C) 4/3.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer?
Question Description
A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer?.
A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer?.
Solutions for A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation isa)1/2 b)3/4c)4/3 d)2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup