The rotation of the earth about its axis speeds up such that a man on the equator becomes weightness. In such a situation, what would be the duration of one day ?

The rotation of the earth about its axis speeds up such that a man on

1.	The rotation of the earth about its axis speeds up such that a man on the equator becomes weightness. In such a situation, what would be the duration of one day ?
Answer» `2pi SQRT((R)/(g))` `(1)/(2pi)sqrt((R)/(g))` `2pi sqrt(Rg)` `(1)/(2pi)sqrt(Rg)` Solution :At EQUATOR, `g'=g-R omega^(2)=0` `:. omega=sqrt((g)/(R))rArr(2pi)/(T)=sqrt((g)/(R))rArrT=2pi sqrt((R)/(g))`