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The speed of earth's rotation about its ...

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

A

1

B

8.5

C

17

D

34

Text Solution

Verified by Experts

The correct Answer is:
C
`omega=(2pi)/T=(2pi)/(24xx60xx60)` rad//s
Now, `g.=g-(omega.)^2R`
`rArromega.=sqrt(g/(R_e))=1/800` (at equator `lamda=0`)
`omega/(omega.)=(2pi)/(24xx60xx60)xx800,omega.=17omega`
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