A wagon wheel with spokes is mounted on a vertical axis therefore it is free to rotate in the horizontal plane. The wheel is rotating with an angular speed of ω = 3.0 radian/s. A bug crawls out on one of the spokes of the wheel with a velocity of 0.5cm/s holding on to the spoke with a coefficient of friction μ = 0.30. Find how far can the bug crawl along the spoke before it starts to slip?