A motor cycle rides in a hollow sphere in a verticle circle of radius 30 m .What will be the minimum speed required so that he does not lose contact with the surface of sphere at the highest point?

Explanation

Data r=5 m , g = 9.8 m/`s^(2)`
Let v and `omega` be respectively the required minmum speed and angular speed at the highest point .
(i) ` v= sqrt(rg) = sqrt(5 xx 9.8) = sqrt(49) = 7 m//s`
(ii) ` omega = v/r = 7/5 1.4 rad/s or omega = sqrt(g/r) = sqrt((9.8)/5) =sqrt(1.96 )= 1.4 rad//s`