Question

the angular velocity of the earth with which it has to rotate son that the acceleration due to gravity on 30 degrees lattitude becomes zero

Answer 1

Answer:

The variation of acceleration due to gravity with Earth's latitude is given by:

g

′

=g−Rω

2

cos

2

λ

Now if g

′

=0, then

g=R(ω

′

)

2

cos

2

λ=R(ω

′

)

2

cos

2

60=(R/4)(ω

′

)

2

⇒ω

′

=

R

4g

=2.47×10

−3

rad/s