When an object is moving in a straight line, its velocity is the linear distance it
covers in a certain amount of time. However, when an object is moving around a circular path,
it behaves differently than objects moving in a straight line.
For an object to be in uniform circular motion, it needs to have a constant force that
always acts towards the center of the circular path, and a constant linear velocity that is
always tangent to the circular path.
The Angular Velocity (omega) of an object in uniform circular motion is calculated in different ways:
Given the radius of the circular path (r) and the linear velocity of the object (v):
Angular Velocity (omega) = linear velocity (v) ÷ radius (r)
Given the angle covered by the object (theta) and the time it takes for the object to cover that angle (t):
Angular Velocity (omega) = angle (theta) ÷ time (t)
The Centripetal Force is the force that always acts towards the center of the circular path, given the mass of
an object moving in a circular path (m), its linear velocity (v) an the radius of the circular path (r):
Centripetal Force = m × v ^ 2 ÷ r
For any object moving along a circular path with angular velocity (omega), the object completes one full rotation across
the entire path in a certain amount of time (t), which is called the Period Time (T):
Time Period (T): The time it takes for an object moving along a circular path to complete one full rotation across the entire path (or 360 degrees),
can be calculated using the following formula:
Time Period (T) = 2 × pi ÷ omega
The Frequency (f): is the amount of rotations an object can complete around a circular path in only one second:
Frequency (f) = 1 ÷ Time Period (T)