A wheel is rotating about a fixed axis with constant angular acceleration 3 rad/

Question

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: If two items are equal, show them as equal in your ranking. If a quantity is equal to zero, show that in your ranking. (Use only ">" or "=" symbols. Do not include any parenthesis around the letters or symbols.)

a) |at| when ? = ?2 rad/s

(b) |ar| when ? = ?2 rad/s

(c) |ar| when ? = 0

(d) |at|when ? = 2 rad/s

(e) |ar| when ? = 2 rad/s

Explanation / Answer

b and e are the largest and equal in magnitude. w*2R = (2)(2)R = 4R

a and e are next. aR = (3rad/s2)R = 3R

c is zero. wR = v = 0; Angular acceleration is zero

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