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 ; w0
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 ; R0 and R1 be the
radii 10 m and 8 m respectively and Fr
0 and Fr
1 be his radial force when he is at a distance of
10 m and 8 m from the center respectively.