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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.?
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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.
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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.?
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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.?.
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