NEET Exam > NEET Questions > A particle moves on circular path of radius 5...
Start Learning for Free
A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.?
Most Upvoted Answer
A particle moves on circular path of radius 5m with constant speed 5m/...
Community Answer
A particle moves on circular path of radius 5m with constant speed 5m/...
Calculation of Average Acceleration of a Particle Moving on Circular Path
Given:
Radius of circular path, r = 5m
Speed of particle, v = 5m/s
Formula:
Average acceleration, a_avg = Δv/Δt
Explanation:
The particle moving on circular path undergoes a change in velocity due to the change in direction of motion. This change in velocity is known as centripetal acceleration. The magnitude of centripetal acceleration is given by a_c = v^2/r.
When the particle completes half revolution, it moves from one end of the diameter to the other end, i.e., it changes its direction completely. Therefore, the change in velocity, Δv = 2v. The time taken to complete half revolution, Δt = πr/v.
Calculation:
Substituting the given values in the formula for average acceleration, we get:
a_avg = Δv/Δt
a_avg = 2v/(πr/v)
a_avg = 4v^2/πr^2
a_avg = 4(5^2)/π(5^2)
a_avg = 20/π
a_avg ≈ 6.37 m/s^2
Conclusion:
The magnitude of average acceleration of the particle when it completes half revolution is 6.37 m/s^2.
Given:
Radius of circular path, r = 5m
Speed of particle, v = 5m/s
Formula:
Average acceleration, a_avg = Δv/Δt
Explanation:
The particle moving on circular path undergoes a change in velocity due to the change in direction of motion. This change in velocity is known as centripetal acceleration. The magnitude of centripetal acceleration is given by a_c = v^2/r.
When the particle completes half revolution, it moves from one end of the diameter to the other end, i.e., it changes its direction completely. Therefore, the change in velocity, Δv = 2v. The time taken to complete half revolution, Δt = πr/v.
Calculation:
Substituting the given values in the formula for average acceleration, we get:
a_avg = Δv/Δt
a_avg = 2v/(πr/v)
a_avg = 4v^2/πr^2
a_avg = 4(5^2)/π(5^2)
a_avg = 20/π
a_avg ≈ 6.37 m/s^2
Conclusion:
The magnitude of average acceleration of the particle when it completes half revolution is 6.37 m/s^2.
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 moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.?
Question Description
A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.? 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 moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.?.
A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.? 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 moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.?.
Solutions for A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.? 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 moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.? defined & explained in the simplest way possible. Besides giving the explanation of
A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.?, a detailed solution for A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.? has been provided alongside types of A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.? theory, EduRev gives you an
ample number of questions to practice A particle moves on circular path of radius 5m with constant speed 5m/s. Find the magnitude of its average acceleration when it completes half revolution.? 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