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What should be the velocity of earth due...

What should be the velocity of earth due to rotation about its own axis so that the weight at equator become 3/5 of initial value. Radius of earth on equator is 6400 km

A

`8.7 xx 10^(-1)` rad/s

B

`7.8 xx 10^(-4)` rad/s

C

`6.7xx 10^(-4)` rad/s

D

`7.4xx 10^(-3)` rad/s

Text Solution

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The correct Answer is:
B
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What should be the angular velocity of rotation of Earth about its own axis so that the weight of body at the equator reduces to 3/5 of its present value? (Take R as the radius of the Earth)

If the earth stops rotating about its axis , then what will be the change in the value of g at a place in the equitorial plane ? Radius of the earth = 6400 km.

Knowledge Check

  • What should be the angular velocity of earth about its own axis so that the weight of the body at the equator would become 3/4 th of its present value ?

    A
    `1/400 rads^(-1)`
    B
    `1/800 rad s^(-1)`
    C
    `1/1600 rad s^(-1)`
    D
    `1/3200 rad s^(-1)`

  • Find the value of angular velocity of axial rotation of the earth, such that weight of a person at equator becomes 3/4 of its weight at pole, Radius of the earth at equator is 6400 km.

    A
    `62xx10^(-4)"rads"^(-1)`
    B
    `52xx10^(-4)"rads"^(-1)`.
    C
    `62xx10^(-2)"rads"^(-1)`.
    D
    NONE OF THE ABOVE

  • The value of angular momentum of the earth rotating about its own axis is

    A
    `7xx10^(33) kg m^(2)//s`
    B
    `7xx10^(33) kg m^(2)//s`
    C
    `0.7xx10^(33) kg m^(2)//s`
    D
    zero

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    What is the time period of rotation of the earth around its axis so that the objects at the equator becomes weightless? ( g=9.8 m//s^2 , radius of the earth =6400km )

    What should be the length of the day so that the weight of a body on the equator of earth becomes zero ? Given that radius of earth is 6400 km and acceleration due to gravity on its surface is 9.8 m//s^(2)

    If the earth has no rotational motion, the weight of a person on the equation is W. Detrmine the speed with which the earth would have to rotate about its axis so that the person at the equator will weight (3)/(4) W. Radius of the earth is 6400 km and g = 10 m//s^(2) .

    The earth rotates about its own axis, then the value of acceleration due to gravity is

    What should be the angular velocity of earth, if the apparent value of acceleration due to gravity at earth's surface on equatorial plane is zero ? Radius of earth is 6400 km and g at earth's surface is 10m//s^(2) .

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