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A line rotates in a horizontal plane according to the equation θ = 2t3 - 6t, where θ is the angular position of the rotating line, in radians, and t is the time, in seconds. Determine the angular acceleration when t = 2 sec.


A. 24 radians per sec2
B. 12 radians per sec2
C. 18 radians per sec2
D. 6 radians per sec2

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Respuesta :

The acceleration is the second derivative of \theta.

first derivative: [tex]6t^2-6[/tex]. Second derivative [tex] 2t[/tex]. For t= 2, we get theta = 24. The correct answer is A, 24 second^2

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