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The angular speed of earth's rotation ab...

The angular speed of earth's rotation about its own axis is `omega`. When its angular speed is increased to n time its original angular speed, the acceleration due to gravity at the equator becomes zero. What is the value of n?
[R is the equatorial radius of the earth]

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The speed of earth's rotation about its axis is omega . Its speed is increased to x times to make the effective accel acceleration due to gravity equal to zero at the equator, then x is around (g= 10 ms^(-2) R = 6400 km)