33106 Chapter Notes - Chapter 9: Angular Velocity, Angular Acceleration, Euclidean Vector
Document Summary
Rigid body: an idealized object that has a perfectly de nite and unchanging shape and size. Angular motion of a rigid body is described by the angle of motion. Radians: rather than degrees, rotational motion is measured in radians, where 1 rad is the angle created when the arc length of a circle is equal to the radius of the circle. s r or s = r . Angular velocity, similar to straight-line motion of velocity is the angular displacement of the body over a time. Instantaneous angular velocity: the derivative of with respect to t. Even though that di erent points on a rotating rigid body move di erent distances, all points rotate through the same angle at the same time, so at any instant, every part of a rotating body has the same angular velocity. The units of angular velocity are rad/s, but in practical uses, rev/min or rpm is also used.