A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 12 rad/s in 3.0 s. Find (a) the magnitude of the angular acceleration of the wheel and (b) the angle in radians through which it rotates in this time interval.
Solution:
Using the rotational dynamics,
a)
= - o/t
= 12 - 0/3
= 4 rad/s
b)
= ot + 1/2t2
= 0 + 0.5*4*32
= 18 radians .
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