The dependence of the angle of rotation on time is given by the equation:

The dependence of the angle of rotation on time is given by the equation: phi = 3 + 4t ^ 2-t ^ 3 Determine the angular acceleration after 1 sec.

To find the angular acceleration from the known dependence of the angular velocity with respect to time, it is necessary to find the derivative of this dependence with respect to time:

φ ‘(t) = 8 * t – (3/2) * t².

This is the rate of change of speed, i.e. angular acceleration versus time t.

Angular acceleration after 1 second of movement:

φ ‘(1) = 8 – 3/2 = 6.5 ° / s².