In the Figure, Point P Is on the Rim of a Wheel

Essay

In the figure, point P is on the rim of a wheel of radius 2.0 m . At time t=0 , the wheel is at rest, and P is on the x -axis. The wheel undergoes a uniform counterclockwise angular acceleration of $0.010 \mathrm { rad } / \mathrm { s } 2$ about the center O.
(a) At time t=0 , what is the tangential acceleration of P?
(b) What is the linear speed of P when it reaches the y -axis?
(c) What is the magnitude of the net linear acceleration of P when it reaches the y -axis?
(d) How long after starting does it take for P to return to its original position on the x -axis?