Composition Setup |
---|
Excerpt |
---|
The rate of change of the angular velocity with time, or the second derivative of the angular position with respect to time. For systems rotating about a single axis with a fixed moment of inertia about that axis, the angular acceleration is directly proportional to the net torque acting on the system. |
Latex |
---|
Wiki Markup |
*angular acceleration* is the rate of change of the [angular velocity] with time, or the second derivative of the [angular position] with respect to time. It's the angular analogue to linear [acceleration]. Like the angular velocity, it is a vector quantity, having both direction and magnitude. It is usually represented by the small Greek letter alpha, *α*. {latex}\begin{large} \[ \vec{\alpha} = \frac{d{\vec{\omega}}}{dt} = \frac{d^{2}{\vec{\theta}}}{dt^2} \] \end{large}{latex} |