9.1. The Big Idea http://www.ck12.org
- There are rotational analogs to the “Big Three” equations.
- Just as linear accelerations are caused by forces, angular accelerations are caused bytorques.
- Torquesproduce angular accelerations, but just as masses resist acceleration (due to inertia), there is an
inertia that opposes angular acceleration. The measure of this inertial resistance depends on the mass, but
more importantly on the distribution of the mass in a given object.Themoment of inertia,I,is the rotational
version of mass.Values for the moment of inertia of common objects are given in problem 2. Torques have
only two directions: those that produce clockwise (CW) and those that produce counterclockwise (CCW)
rotations. The angular acceleration or change inωwould be in the direction of the torque.
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- Moment of inertia is the inertia to rotation. So the larger the moment of inertia the more difficult it is to rotate.
And, thus, the more resistant it is to angular acceleration.
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