Given that, angle of laticude, λ=45° We know that, the expression of gravity at latitude angle is gλ=g−ω2Rcos2λ The weight of man of mass m at this point w=mgλ=m(g−ω2Rcos245°) According to question, man feels weightlessness ∴ w = 0 m(g−ω2Rcos245°)=0 But m≠0, then g−ω2Rcos245°=0 ⇒ω=√