The variation in gravitational acceleration is given by g′=g−ω2Rcos2λ ........(i) where g= gravitational acceleration at surface omega = angualr velocity R= Radius of earth According to the question, g"=g−ω′Rcos2λ Hereω′=
ω
2
g"=g−(
ω
2
)2Rcos2λ ...........(ii) From Eqs. (i) and (ii), it is clear that g">g As we know that Weight of a body, w=mg Here mass of body remains constant Hence if earth suddenly starts rotating with half of its angular velocity of rotation, then the weight of body will increases. Hence, w∝g