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axis of rotation
points on a rigid object move on circular path
angular displacement
the angle through which the object rotates, is positive if it is counterclockwise and negative if it is clockwise, in radians
angular displacement equation
change in angular displacement= final angular displacement - initial angular displacement
something equation
average angular velocity equation and units
w= angular displacement/ time, units are radian per second
angular acceleration
occurs when angular velocity is changed
avg angular acceleration equation
a= change in angular velocity/ time, units are radian per second squared
equation to find final angular velocity
w= w0 +at
equation to find angular displacement with no acceleration
ang displacement= ½ (w0 +w)t
equation to find final angular velocity with no time
w²= w0² +2a x s
equation to find angular displacement with no final velcity
s= w0t +1/2 at²
tangential speed equation
Vt= r x w, in rad/s
tangenital accleration
At= r x a, units are rad/s²
Centripetal accleration equation
Ac= r x w², units are rad/s