A merry$-$go$-$round rotates at the rate of $0\mathrm{.}29$ rev$/$s with an $70$ kg man standing at a point $1\mathrm{.}8$ m from the axis of rotation.What is the new angular speed when the man walks to a point $0$ m from the center?Consider the merry$-$go$-$round is a solid $57$ kgcylinder of radius of $1\mathrm{.}8$ m$.$Answer in units of rad$/$s$.$