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# Physics 201 Ch 12-15

what is α (Alpha) Angular Acceleration. -> Rate of change of angular velocity. In SI units, it is measured in radians per second squared (rad/s2)
what is ω (Omega) The rate of change of ang. displacement angular speed (rotational speed) of an object and the axis about which the object is rotating. Unit=rad/s. The direction is perpendicular to the plane of rotation,(righthand rule)
α formulas dω/dt. Torque = I*α
Angular Momentum L=r x p = Iω Angular momentum can be expressed as the product of the body's moment of inertia, I, (i.e., a measure of an object's resistance to changes in its rotation rate) and its angular velocity ω
Torque Torque is defined as = r x F = r F sin(theta). (cross product). Torque is a measure of how much a force acting on an object causes that object to rotate.
ω formulas ω*radius=velocity ω= V/r ω= delta x / delta t V=(delta x r)/(delta t)
Cross product If we let the angle between A and B be theta, then the cross product of A and B can be expressed as A x B = A B sin(theta)
Every point on a rigid body rotating about an axis has the same ang. vel. ω and ang. acc. α. Newton's second law for rotational motion is α=(Torque_net)/I
conservation of energy? E_final = E_initial Rolling E = K_rot + K_cm + U_g =1/2 Iω^2 + 1/2 Mv_cm ^2 + Mgy_cm L = I ω
Created by: kiwijones

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