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A flywheel weighs 981/π kgf and has a radius of gyration of 100 cm. It is given a spin of 100 r.p.m. about its horizontal axis. The whole assembly is rotating about a vertical axis at 6 rad/s. The gyroscopic couple experienced will be
  • a)
    2000 kgf-m
  • b)
    1962 kgf-m
  • c)
    200 kgf-m
  • d)
    196 kgf-m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A flywheel weighs981/πkgf and has a radius of gyration of 100 cm. I...
Concept:
Gyroscopic Couple = I × ω × ωp
Where I is the moment of inertia of the flywheel, ωp is the angular velocity of spin and ω is the rotational speed of the flywheel
Calculation:
Given, W = 981/π kgf ⇒ m =  981/π kg, radius of gyration k = 100 cm = 1m, ω = 6rad/s, N = 100 r.p.m,
1 kgf = 9.81 N
⇒ T = 2000 kgf-m
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Community Answer
A flywheel weighs981/πkgf and has a radius of gyration of 100 cm. I...
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A flywheel weighs981/πkgf and has a radius of gyration of 100 cm. It is given a spin of 100 r.p.m. about its horizontal axis. The whole assembly is rotating about a vertical axis at 6 rad/s. The gyroscopic couple experienced will bea)2000 kgf-mb)1962 kgf-mc)200 kgf-md)196 kgf-mCorrect answer is option 'A'. Can you explain this answer?
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A flywheel weighs981/πkgf and has a radius of gyration of 100 cm. It is given a spin of 100 r.p.m. about its horizontal axis. The whole assembly is rotating about a vertical axis at 6 rad/s. The gyroscopic couple experienced will bea)2000 kgf-mb)1962 kgf-mc)200 kgf-md)196 kgf-mCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A flywheel weighs981/πkgf and has a radius of gyration of 100 cm. It is given a spin of 100 r.p.m. about its horizontal axis. The whole assembly is rotating about a vertical axis at 6 rad/s. The gyroscopic couple experienced will bea)2000 kgf-mb)1962 kgf-mc)200 kgf-md)196 kgf-mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flywheel weighs981/πkgf and has a radius of gyration of 100 cm. It is given a spin of 100 r.p.m. about its horizontal axis. The whole assembly is rotating about a vertical axis at 6 rad/s. The gyroscopic couple experienced will bea)2000 kgf-mb)1962 kgf-mc)200 kgf-md)196 kgf-mCorrect answer is option 'A'. Can you explain this answer?.
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