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The angular speed of rotation of the ea...

The angular speed of rotation of the earth is

A

`7.3xx10^(-5) rad s^(-1)`

B

`7.3xx10^(-4) rad s^(-1)`

C

`7.3xx10^(-6) rad s^(-1)`

D

`7.3xx10^(-3) rad s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A

(a) The earth rotates from west to east in 24 hours
`:. T=24 " hours" =24xx3600s=86400 s`
Its angular speed is
`omega=(2pi)/(T)=(2pi)/(86400)=7.3xx10^(-5) "rad"s^(-1)`
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Knowledge Check

  • The speed of rotation of the earth is

    A
    25 km/sec
    B
    31 km/sec
    C
    39.5 km/sec
    D
    9.72 km/sec
  • The angular speed of rotation of earth about its axis at which the weight of man standing on the equator becomes half of his weight at the poles is given by

    A
    `0.034 rad s^(-1)`
    B
    `8.75 xx 10^(-4) rad s^(-1)`
    C
    `1.23 xx 10^(-2) rad s^(-1)`
    D
    `7.65 xx 10^(-7) rad s^(-1)`
  • The acceleration due to gravity at the latitude 45^(@) on the earth becomes zero if the angular velocity of rotation of the earth is

    A
    `sqrt(2/(gR))`
    B
    `sqrt(2gR)`
    C
    `sqrt((2g)/R)`
    D
    `sqrt((5R)/2)`
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