Class 11 Exam > Class 11 Questions > A man standing on a table rotating about the ...
Start Learning for Free
A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?
- a)increase
- b)remains same
- c)increase or decrease depending on the magnitude of angular velocity of the wheel
- d)decrease
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A man standing on a table rotating about the central axis pulls his ha...
When the man pulls his hands towards chest, the moment of inertia will decrease and due to conservation of angular momentum, angular velocity will increase.
View all questions of this test
Most Upvoted Answer
A man standing on a table rotating about the central axis pulls his ha...
To understand how the angular velocity will change when a man standing on a rotating table pulls his hands holding dumbbells towards his chest, we need to consider the principle of conservation of angular momentum.
**Conservation of Angular Momentum:**
Angular momentum is the rotational equivalent of linear momentum. According to the law of conservation of angular momentum, the total angular momentum of a system remains constant unless an external torque acts on it.
**Initial Situation:**
In the initial situation, the man is standing on a rotating table and holding dumbbells. The system consists of the man, the dumbbells, and the table. The angular momentum of the system is given by the product of the moment of inertia and the angular velocity.
**Change in Angular Velocity:**
When the man pulls his hands holding the dumbbells towards his chest, the moment of inertia of the system decreases. This is because the moment of inertia depends on the distribution of mass and its distance from the axis of rotation. By pulling the dumbbells closer to his chest, the man reduces the moment of inertia of the system.
Since the angular momentum of the system is conserved, according to the equation L = Iω (where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity), a decrease in the moment of inertia (I) will result in an increase in the angular velocity (ω). Therefore, the angular velocity of the rotating table will increase when the man pulls his hands towards his chest.
**Explanation of the Correct Answer:**
The correct answer is option 'A' - increase. As explained above, when the man pulls his hands holding the dumbbells towards his chest, the moment of inertia decreases, leading to an increase in the angular velocity. Therefore, the angular velocity will change and increase in this scenario.
**Conservation of Angular Momentum:**
Angular momentum is the rotational equivalent of linear momentum. According to the law of conservation of angular momentum, the total angular momentum of a system remains constant unless an external torque acts on it.
**Initial Situation:**
In the initial situation, the man is standing on a rotating table and holding dumbbells. The system consists of the man, the dumbbells, and the table. The angular momentum of the system is given by the product of the moment of inertia and the angular velocity.
**Change in Angular Velocity:**
When the man pulls his hands holding the dumbbells towards his chest, the moment of inertia of the system decreases. This is because the moment of inertia depends on the distribution of mass and its distance from the axis of rotation. By pulling the dumbbells closer to his chest, the man reduces the moment of inertia of the system.
Since the angular momentum of the system is conserved, according to the equation L = Iω (where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity), a decrease in the moment of inertia (I) will result in an increase in the angular velocity (ω). Therefore, the angular velocity of the rotating table will increase when the man pulls his hands towards his chest.
**Explanation of the Correct Answer:**
The correct answer is option 'A' - increase. As explained above, when the man pulls his hands holding the dumbbells towards his chest, the moment of inertia decreases, leading to an increase in the angular velocity. Therefore, the angular velocity will change and increase in this scenario.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer?
Question Description
A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer?.
A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?a)increaseb)remains samec)increase or decrease depending on the magnitude of angular velocity of the wheeld)decreaseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup