A coin placed on a rotating turn table just slips if it is at a distance of 40cm from the centre if the angular velocity of the turn table is doubled,it will just slip at a distance of

a=ω²R,

F(fr)=μN=μmg,

ma =F(fr) =>

mω²R₁= μmg
m(2ω)²R₂=μmg
ω²R₁=4ω²R₂
R₂=R₁/4