Chapter 10, Problem 10.3OQ

A wheel is rotating about a fixed axis with constant angular acceleration 3 rad/s². At different moments, its angular speed is –2 rad/s, 0. and +2 rad/s. For a point on the rim of the wheel, consider at these moments the magnitude of the tangential component of acceleration and the magnitude of the radial component of acceleration. Rank the following five items from largest to smallest: (a) |a_t| when ω = – 2 rad/s, (b)|a_r| when ω = –2 rad/s, (c)|a_r| when ω = 0, (d) |a_t| when ω = 2 rad/s, and (e) |a_r| when ω = 2 rad/s. If two items are equal, show them as equal in your ranking. If a quantity is equal to zero, show that fact in your ranking.