The Uniform Circular Motion (UCM) is characterized by a circular trajectory with a constant angular velocity. It is defined by the following parameters:
Period \( T \), the time required to complete one revolution: \( T = \frac{2\pi}{\omega} \)
Frequency \( f \), the number of revolutions per second: \( f = \frac{1}{T} \)
Linear velocity \( v \), which relates angular velocity and radius: \( v = r \cdot \omega \)
Centripetal acceleration \( a_c \), which always points towards the center of the trajectory: \( a_c = \frac{v^2}{r} = r \cdot \omega^2 \)
Calculations
Period (T):
Frequency (f):
Linear Velocity (v):
Centripetal Acceleration (ac):