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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?
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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 ...
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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?
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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?.
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