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Moment of inertia, rotational kinetic energy, and angular momentum of a body is I, E, and L respectively then :
  • a)
    I = E/L
  • b)
    L = EI
  • c)
    E = 2IL
  • d)
    L = √(2EI)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Moment of inertia, rotational kinetic energy, and angular momentum of ...
The correct answer is option 4) i.e. L = √(2EI)
CONCEPT:
  • Angular momentum: The angular momentum of a rigid object is defined as the product of the moment of inertia and the angular velocity.
    • Angular momentum also obeys the law of conservation of momentum i.e. angular momentum before and after is conserved.
Angular momentum, L = I × ω 
Rotational kinetic energy: For a given fixed axis of rotation, the rotational kinetic energy is given by:
Where I is the moment of inertia, ω is the angular velocity.
CALCULATION:
Angular momentum, L = I × ω      ----(1) 
Roational kinetic energy
Substituting (2) in (1) we get
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Moment of inertia, rotational kinetic energy, and angular momentum of a body is I, E, and L respectively then :a)I = E/Lb)L = EIc)E = 2ILd)L = √(2EI)Correct answer is option 'D'. Can you explain this answer?
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