Question: A wheel changes its angular velocity with a constant angularacceleration while rotating about a fixed axis through itscenter.
a) show that the change in the magnitude of the radial accelerationduring any time interval of a point on the wheel is twice theproduct of the angular acceleration, the angular displacement, andthe perpendicular distance of the point from the axis.
b) The radial acceleration of a point on the wheel that is 0.250 mfrom the axis changes from 25.0 m/s2 to 85m/s2 as the wheel rotates through 15.0 rad. Calculatethe tangential acceleration of this point.
c) Show that the change in the wheel's kinetic energy during anytime interval is the product of the moment of inertia about theaxis, the angular acceleration, and the angular displacement.
d) during the 15.0 rad angular displacement of part (b), the kineticenergy of the wheel increases from 20.0 J to 45.0J. What is themoment of inertia of the wheel about the rotation axis?