Mechanical Engineering Exam > Mechanical Engineering Questions > Assertion (A): The critical speed of an elast...
Start Learning for Free
Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.
Reason (R): The higher critical speed is due to higher damping ratio.
- a)Both A and R are individually true and R is the correct explanation of A
- b)Both A and R are individually true but R is not the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Assertion (A): The critical speed of an elastic shaft calculated by th...
The correct answer is option 'C': A is true but R is false.
Explanation:
- Assertion (A) states that the critical speed of an elastic shaft calculated by Rayleigh's method is higher than the actual critical speed.
- Reason (R) states that the higher critical speed is due to a higher damping ratio.
Let's analyze each statement separately:
Assertion (A) - The critical speed of an elastic shaft calculated by Rayleigh's method is higher than the actual critical speed.
- Rayleigh's method is a simplified approach used to estimate the critical speed of a rotating shaft. It is based on the assumption that the shaft can be modeled as a single-degree-of-freedom system with a concentrated mass and stiffness.
- The method assumes that the system has no damping, which means that it does not consider the energy dissipation due to internal friction or external factors.
- In reality, all systems have some level of damping, which affects the critical speed. Neglecting damping in the calculations can lead to an overestimation of the critical speed.
- Therefore, Assertion (A) is true. The critical speed calculated by Rayleigh's method tends to be higher than the actual critical speed because it does not account for damping effects.
Reason (R) - The higher critical speed is due to a higher damping ratio.
- The damping ratio is a parameter that quantifies the level of damping in a system. It is defined as the ratio of the actual damping coefficient to the critical damping coefficient.
- The critical damping coefficient is the value of damping that results in the system returning to its equilibrium position without oscillating.
- The reason states that the higher critical speed is due to a higher damping ratio. However, this is not correct.
- Damping affects the critical speed, but it does not determine whether the critical speed is higher or lower. The damping ratio influences the dynamic behavior of the system, such as the amplitude and frequency of vibrations, but it does not directly determine the critical speed.
- Therefore, Reason (R) is false. The higher critical speed is not due to a higher damping ratio.
In conclusion, Assertion (A) is true because Rayleigh's method tends to overestimate the critical speed, but Reason (R) is false because the higher critical speed is not due to a higher damping ratio.
Explanation:
- Assertion (A) states that the critical speed of an elastic shaft calculated by Rayleigh's method is higher than the actual critical speed.
- Reason (R) states that the higher critical speed is due to a higher damping ratio.
Let's analyze each statement separately:
Assertion (A) - The critical speed of an elastic shaft calculated by Rayleigh's method is higher than the actual critical speed.
- Rayleigh's method is a simplified approach used to estimate the critical speed of a rotating shaft. It is based on the assumption that the shaft can be modeled as a single-degree-of-freedom system with a concentrated mass and stiffness.
- The method assumes that the system has no damping, which means that it does not consider the energy dissipation due to internal friction or external factors.
- In reality, all systems have some level of damping, which affects the critical speed. Neglecting damping in the calculations can lead to an overestimation of the critical speed.
- Therefore, Assertion (A) is true. The critical speed calculated by Rayleigh's method tends to be higher than the actual critical speed because it does not account for damping effects.
Reason (R) - The higher critical speed is due to a higher damping ratio.
- The damping ratio is a parameter that quantifies the level of damping in a system. It is defined as the ratio of the actual damping coefficient to the critical damping coefficient.
- The critical damping coefficient is the value of damping that results in the system returning to its equilibrium position without oscillating.
- The reason states that the higher critical speed is due to a higher damping ratio. However, this is not correct.
- Damping affects the critical speed, but it does not determine whether the critical speed is higher or lower. The damping ratio influences the dynamic behavior of the system, such as the amplitude and frequency of vibrations, but it does not directly determine the critical speed.
- Therefore, Reason (R) is false. The higher critical speed is not due to a higher damping ratio.
In conclusion, Assertion (A) is true because Rayleigh's method tends to overestimate the critical speed, but Reason (R) is false because the higher critical speed is not due to a higher damping ratio.
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
Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?
Question Description
Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?.
Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Assertion (A): The critical speed of an elastic shaft calculated by the Rayleigh's method is higher than the actual critical speed.Reason (R): The higher critical speed is due to higher damping ratio.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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