Question

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

Answer 1

The acceleration is the second derivative of \theta.

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