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The rotation of earth about its axis is...

The rotation of earth about its axis is

A

Periodic motion

B

simple hamronic motion

C

periodic but not simple harmonic motion

D

non-periodic motion

Text Solution

Verified by Experts

The correct Answer is:
A, C

Rotation of earth about its axis repeats its motion after inerval of time, so its motion is periodic . The rotation of earth is obviously not a to and frotype of motion about a fixed point, hence its motion is not an oscillation, Also this motion does not follow `S.H.M.` equation, `a alpha -x`.
Hence, this motion is not a `S.H.M`.
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If the speed of rotation of earth about its axis is increased,

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The rotation of the earth about its axis is periodic but not simple harmonic. Justify.

Assertion : The rotation of the earth about its axis is a S.H.M. Reason : The earth completes each roation about its axis in 24 hours while orbiting around earth.

The rotation of the earth about its axis speeds up such that a man on the equator becomes weightless. In such a situation, what would be the duration of one day ?

Assertion : If rotation of earth about its own axis is suddenly stops then acceleration due to gravity will increase at all places on the earth. Reason : At height h from the surface of earth acceleration due to gravity is g_(h)=g(1- (2h)/R_(e)) .

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Knowledge Check

  • If the speed of rotation of earth about its axis is increased,

    A
    weight of a body at the equator decreases
    B
    weight of a body at the poles does not change
    C
    both 'a' and 'b'
    D
    neither 'a' nor 'b'
  • Find the duration of the day if the rotation of earth about its axis speeds up in such a way that a person on the equator feels weightlessness.

    A
    `2pi sqrt((R^(2))/(g^(3)))`
    B
    `(1)/(2pi) sqrt((R )/(g))`
    C
    `2pisqrt((R )/(g))`
    D
    `(1)/(2pi)sqrt((R )/(g^(3)))`
  • Statement-I: If the earth expands in size without any change in mas, the length of the day would increase. statement-II: The rotation of earth about its axis follows the law of conservation of angular momentum.

    A
    If both Statement-I and Statement-II are true, and Statement - II is the correct explanation of Statement– I.
    B
    If both Statement-I and Statement-II are true but Statement - II is not the correct explanation of Statement – I.
    C
    If Statement-I is true but Statement-II is false.
    D
    If Statement-I is false but Statement-II is true.
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