NEET Exam > NEET Questions > If a gymnast, sitting on a rotating stool wit...
Start Learning for Free
If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his hands
- a)The angular velocity decreases
- b)His moment of inertia decreases
- c)The angular velocity stays constant
- d)The angular momentum increases
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If a gymnast, sitting on a rotating stool with his arms outstretched, ...
Explanation:
When a gymnast sitting on a rotating stool lowers his hands, the moment of inertia decreases.
Moment of Inertia:
Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It depends on the mass distribution of the object and the axis of rotation. In simple terms, it is a property of an object that determines how difficult it is to change its rotation.
Effect of Lowering Hands:
Lowering the hands of the gymnast changes the distribution of mass in the system. This change in mass distribution affects the moment of inertia.
Decrease in Moment of Inertia:
When the gymnast lowers his hands, the mass that was previously farther away from the axis of rotation (arms outstretched) is brought closer to the axis of rotation. This reduces the moment of inertia.
Explanation in Terms of Equation:
The moment of inertia (I) depends on the mass (m) and the distance (r) of the mass from the axis of rotation. It can be mathematically represented as:
I = m * r^2
When the gymnast lowers his hands, the distance (r) decreases, resulting in a decrease in the moment of inertia (I).
Effect on Angular Velocity:
Angular velocity (ω) is the rate at which an object rotates around an axis. It is given by the equation:
ω = v / r
where v is the linear velocity and r is the distance from the axis of rotation.
Since the mass distribution of the gymnast changes, the linear velocity (v) of the gymnast's hands also changes. However, the distance (r) decreases, which compensates for the change in linear velocity, thus keeping the angular velocity constant.
Therefore, the correct answer is option 'B': His moment of inertia decreases.
When a gymnast sitting on a rotating stool lowers his hands, the moment of inertia decreases.
Moment of Inertia:
Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It depends on the mass distribution of the object and the axis of rotation. In simple terms, it is a property of an object that determines how difficult it is to change its rotation.
Effect of Lowering Hands:
Lowering the hands of the gymnast changes the distribution of mass in the system. This change in mass distribution affects the moment of inertia.
Decrease in Moment of Inertia:
When the gymnast lowers his hands, the mass that was previously farther away from the axis of rotation (arms outstretched) is brought closer to the axis of rotation. This reduces the moment of inertia.
Explanation in Terms of Equation:
The moment of inertia (I) depends on the mass (m) and the distance (r) of the mass from the axis of rotation. It can be mathematically represented as:
I = m * r^2
When the gymnast lowers his hands, the distance (r) decreases, resulting in a decrease in the moment of inertia (I).
Effect on Angular Velocity:
Angular velocity (ω) is the rate at which an object rotates around an axis. It is given by the equation:
ω = v / r
where v is the linear velocity and r is the distance from the axis of rotation.
Since the mass distribution of the gymnast changes, the linear velocity (v) of the gymnast's hands also changes. However, the distance (r) decreases, which compensates for the change in linear velocity, thus keeping the angular velocity constant.
Therefore, the correct answer is option 'B': His moment of inertia decreases.
Free Test
FREE
| Start Free Test |
Community Answer
If a gymnast, sitting on a rotating stool with his arms outstretched, ...
MI=MR2^
hence when R decreases MI decreases
hence when R decreases MI decreases
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer?
Question Description
If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer?.
If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his handsa)The angular velocity decreasesb)His moment of inertia decreasesc)The angular velocity stays constantd)The angular momentum increasesCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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