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The angular speed that should the earth ...

The angular speed that should the earth have to rotate about its axis so that apparent weight of a body on the equator will be zero. What would be length of the day at that time (Radius of earth= 6400 km, g=9-8 `m/s_2`)

A

4077 sec

B

3077 sec

C

5077 sec

D

6077 sec

Text Solution

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The correct Answer is:
C
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How many times faster than the present speed should the earth move to rotate about it’s axis, so that the apparent weight of the bodies on the equator becomes Zero.

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Knowledge Check

  • The angular speed of the revolution of earth required so that the body on its surface at the equator would feel no weight is, (Radius of earth= 6400 km, g=9-8 m/s_2 )

    A
    `1.723xx10^(-3)`rad/s
    B
    `1.237xx10^(-3)`rad/s
    C
    `2.273xx10^(-3)`rad/s
    D
    `2.237 xx 10^(-4)`rad/s

  • If the value of g at the surface of the earth is 9.8m//sec^2 then the value of g at a palace 480 km above the surface of the earth will be (radius of the earth is 6400 km)

    A
    a)8.5m//sec^2`
    B
    b)`9.8m//seec^2`
    C
    c)7.2m//sec^2`
    D
    d)`4.2m//sec^2`

  • The speed of earth’s rotation about its axis is co. Its speed is increased to' x times to make the effective acceleration due to gravity equal to zero at the equator. Then x is,

    A
    a)1
    B
    b)8.5
    C
    c)17
    D
    d)34

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