The angular position of a rotating object is given as a function of time by ? = 4t 3 - 3t, where ? is in radians and t is in seconds. What is its angular acceleration at t = 2 s?
A
None of the choices are correct.
B
48 rad/s2
C
42 rad/s2
D
24 rad/s2
E
45 rad/s2
The second derivative of the angualr position is the angular acceleration.
Thus,
alpha = 24t
Thus, at t = 2 s,
alpha = 48 rad/s^2 [ANSWER, OPTION B]
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