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The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed w varies with time t as
- a)2 a sin wt
- b)
- c)2a cos wt
- d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The magnitude of displacement of a particle moving in a circle of radi...
If a particle is moving with angular velocity=ω
Its angle of rotation is given by ωt
Now displacement= length of line AB
Position vector of a particle is given by
R =iacosωt + jasinωt
Ro=ai
displacement =R−Ro
=a(cosωt−1)i+asinωj
d=√[(a(cosωt-1))2+(asinω)2]
=a√(2(1-cosωt))=a√(2×2(sinωt/2)2)=2asinωt/2
Its angle of rotation is given by ωt
Now displacement= length of line AB
Position vector of a particle is given by
R =iacosωt + jasinωt
Ro=ai
displacement =R−Ro
=a(cosωt−1)i+asinωj
d=√[(a(cosωt-1))2+(asinω)2]
=a√(2(1-cosωt))=a√(2×2(sinωt/2)2)=2asinωt/2
Most Upvoted Answer
The magnitude of displacement of a particle moving in a circle of radi...
If a particle is moving with angular velocity=ω
Its angle of rotation is given by ωt
Now displacement= length of line AB
Position vector of a particle is given by
R =iacosωt + jasinωt
Ro=ai
displacement =R−Ro
=a(cosωt−1)i+asinωj
d=√[(a(cosωt-1))2+(asinω)2]
=a√(2(1-cosωt))=a√(2×2(sinωt/2)2)=2asinωt/2
Its angle of rotation is given by ωt
Now displacement= length of line AB
Position vector of a particle is given by
R =iacosωt + jasinωt
Ro=ai
displacement =R−Ro
=a(cosωt−1)i+asinωj
d=√[(a(cosωt-1))2+(asinω)2]
=a√(2(1-cosωt))=a√(2×2(sinωt/2)2)=2asinωt/2
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The magnitude of displacement of a particle moving in a circle of radi...
Options B
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The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed w varies with time t asa)2 a sin wtb)c)2a cos wtd)Correct answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed w varies with time t asa)2 a sin wtb)c)2a cos wtd)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed w varies with time t asa)2 a sin wtb)c)2a cos wtd)Correct answer is option 'B'. Can you explain this answer?.
The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed w varies with time t asa)2 a sin wtb)c)2a cos wtd)Correct answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed w varies with time t asa)2 a sin wtb)c)2a cos wtd)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed w varies with time t asa)2 a sin wtb)c)2a cos wtd)Correct answer is option 'B'. Can you explain this answer?.
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