UNIFORM CIRCULAR MOTION

Uniform circular motion:  Motion that occurs when an object has constant speed and constant radius.

Centripetal acceleration:  Centripetal means centre-seeking.  Centripetal acceleration is the instantaneous acceleration directed toward the centre of the circle.

a_c: Centripetal acceleration (m/s²).  It is toward the centre of the circle.
v:  Speed of the object undergoing uniform circular motion (m/s).  this is a constant speed
r:  Radious of the circle or arc (m)
T:  Period (second, s)
f:  Frequency, number of revolution per second (1/s, Hertz, Hz)
m:  Mass (kg)
rpm:  revolutions per minute

Centripetal Force:  Force created by centripetal acceleration.  This force is directed toward the centre of the circle and perpendicular to its velocity.

F_c:  Centripetal force (N)
m:  mass (kg)

Centrifugal Force:  Fictitious force directed away from the centre of the circle

FORCES IN CIRCULAR MOTION

Since the object is under the centripetal acceleration, normal force will be greater than the weight of the object.  More push needed by the ramp to the object to balance the weight of the object and the centripetal force.

Normal force is always perpendicular to the surface object sits.

Centripetal force is always perpendicular to the rotation axis.