AP EAPCET 24-Aug-2021 Shift 1 Paper

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=√

2q

R

Now, using time period, (duration of day)
=T=

2π

ω

=2π√

R

2g

=π√

2R

g