NEET Exam > NEET Questions > A particle of mass m moves with a constant sp...
Start Learning for Free
A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain?
Most Upvoted Answer
A particle of mass m moves with a constant speed v on a circular path ...
Problem: A particle of mass m moves with a constant speed v on a circular path of radius r. Find the magnitude of average force on it in half revolution?
Solution:
To calculate the average force exerted on a particle moving in a circular path, we need to use the formula for centripetal force, which is given as:
F = mv²/r
Where,
m = Mass of the particle
v = Velocity of the particle
r = Radius of the circular path
Now, for half of the revolution, the displacement of the particle is equal to the circumference of half the circle, which is given as:
C = πr
The time taken by the particle to complete half the revolution is given as:
T = (1/2)*(2πr)/v
T = πr/v
Now, the average force is given as the ratio of the work done to the displacement. The work done by the force is given as:
W = F*(πr)
Therefore, the average force is given as:
F(avg) = W/(πr)
F(avg) = (mv²/r)*(πr)/(πr)
F(avg) = 2mv²/πr
Hence, the magnitude of average force on the particle in half the revolution is 2mv²/πr.
Solution:
To calculate the average force exerted on a particle moving in a circular path, we need to use the formula for centripetal force, which is given as:
F = mv²/r
Where,
m = Mass of the particle
v = Velocity of the particle
r = Radius of the circular path
Now, for half of the revolution, the displacement of the particle is equal to the circumference of half the circle, which is given as:
C = πr
The time taken by the particle to complete half the revolution is given as:
T = (1/2)*(2πr)/v
T = πr/v
Now, the average force is given as the ratio of the work done to the displacement. The work done by the force is given as:
W = F*(πr)
Therefore, the average force is given as:
F(avg) = W/(πr)
F(avg) = (mv²/r)*(πr)/(πr)
F(avg) = 2mv²/πr
Hence, the magnitude of average force on the particle in half the revolution is 2mv²/πr.
Community Answer
A particle of mass m moves with a constant speed v on a circular path ...
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
A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain?
Question Description
A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain?.
A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain?.
Solutions for A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain? 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 A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain? defined & explained in the simplest way possible. Besides giving the explanation of
A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain?, a detailed solution for A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain? has been provided alongside types of A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain? theory, EduRev gives you an
ample number of questions to practice A particle of mass m moves with a constant speed v on a circular path of radius r . Find the magnitude of average force on it in half revolution? Ans:2mv2/πr, explain? 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup