A man is moving towards the center of a horizontal circular disk in such a way that he experiences no tangential force acting on him . In doing so he finds that he has a constant radial velocity of 0.5 m / s. He starts his motion when he is at a distance of 10 m from the center and his angular velocity at this instant is 1 rad / s .By how many times has his radial component of force increased when he is 8 m away from the center ? a ) 2.052 

Let m be the mass
of the man ; w_{0}
and w_{1
}be his angular velocity when he is at a distance of
10 m and 8 m from the center respectively ; a
, be his angular acceleration ; R_{0} and R_{1} be the
radii 10 m and 8 m respectively and F_{r
0} and F_{r
1} be his radial force when he is at a distance of
10 m and 8 m from the center respectively. 