A wheel of diameter 50.0 cm starts from rest and rotates with a constant angular acceleration of 2.00 rad/s^2. At the instant the wheel has computed its second revolution, compute the radial acceleration of a point on the rim in two ways.

(1)Using the relationship .
arad=w2r
(2)from the relationship
arad=v2/r

Question

A wheel of diameter 50.0 cm starts from rest and rotates with a constant angular acceleration of 2.00 rad/s^2. At the instant the wheel has computed its second revolution, compute the radial acceleration of a point on the rim in two ways.

(1)Using the relationship .
    arad=w2r
(2)from the relationship
    arad=v2/r

anonymous · Answer

arad=w2r
so Radial Acceleration = (Angular Velocity)^2  * radius
and
arad=v2/r
Radial Acceleration = (tangential velocity)^2 / radius

can you figure out what the Angular Velocity would be if theta = 4pi and using the rotational kinematic equations? with alpha = 2rad/s^2 ?
w^2 = w^2 + alpha*theta    [kinematic equation i'd suggest to use]