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W₀ = present angular velocity = 2π / 86400  rad/sec
w = new angular velocity
centripetal force on the objects at equator = m R w²
gravitational pull = G M m / R²  = m g

Apparent weight = m g'  =  m g - m R w²
              g' = 0  when    w² = g/R
           w = √(g/R)   
Substitute the values to get answer.

   Ratio = w/w₀  =  86400 √(g/R) / 2π

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