Circular motion is the movement of an object along the circumference of a circle. It can be uniform, with constant angular velocity, or non-uniform, with changing angular velocity. Circular motion requires centripetal acceleration towards the center of rotation to change the direction of velocity. The centripetal force provides the required acceleration to maintain circular motion. Key equations described include the circumference of a circle, angular velocity, velocity, and acceleration for circular motion.

2. Circular motion is a movement of an
object along the circumference of
a circle or rotation along a circular path or a
circular orbit. The rotation around a fixed axis of a
three-dimensional body involves circular motion
of its parts. The equations describing circular
motion of an object do not take size or geometry
into account, rather, the motion of a point mass in
a plane is assumed.
It can be uniform, that is, with constant
angular rate of rotation (and thus constant speed),
or non-uniform, that is, with a changing rate of
rotation.

4. Circumference of the circle
C = 2π r.
Angular rate or angular velocity
*Angular velocity is measured in radians / second, although for motors in particular it is commonly expressed
in rpm (revolutions per minute).

6. The axis of rotation is shown as a vector Ω perpendicular
to the plane of the orbit and with a magnitude ω = dθ
/ dt. The direction of Ω is chosen using the right-hand
rule. With this convention for depicting rotation, the
velocity is given by a vector cross product as
which is a vector perpendicular to both Ω and r ( t ),
tangential to the orbit, and of magnitude ω r. Likewise,
the acceleration is given by
which is a vector perpendicular to both Ω and v ( t ) of
magnitude ω |v| = ω2 r and directed exactly opposite
to r ( t ).

7. WHERE :
Ω = represents the rotation to the plane of the
orbit.
C = circumference
Ω = angular rate or angular velocity
T = period for one rotation
r = radius
v = speed
t = time

8. Circular motion is accelerated even if the
angular rate of rotation is constant, because the
object's velocity vector is constantly changing
direction. Such change in direction of velocity
involves acceleration of the moving object by
a centripetal force, which pulls the moving
object toward the center of the circular orbit.
Without this acceleration, the object would
move in a straight line, according to Newton's
laws of motion.

9. According to the right hand rule. If the object is
in counter-clockwise ("anti-clockwise")
horizontal circular motion (as viewed from
above), then the angular velocity vector will
point vertically upward. In the absence of
gravity, the centripetal force will be
horizontal, in the plane of motion, pointing
towards the center of the circle. If you're taking
a downward gravitational force into
account, then the centripetal force will be
inward but also upward. The object will move
upward if the vertical component of the
centripetal force is greater than the object's
gravitational weight.

11. Benyna Ninez L. Bausas
Jessica Elaine M. Palo
Eloisa A. Caisip
Presented to:
Mrs. Gliceria Quizon
(Physics Teacher)
Shaira Marie T. Vasquez Meryll Elijah C. Mendoza