PHYSICAL QUANTITY

Angular velocity: formulas and units of measurement

Angular velocity: symbol ω, unit rad/s. Formulas and explanations for Mechanics, Oscillations and waves.

\omegaω\frac{\text{рад}}{\text{с}}radians per second

KEY CONNECTIONS

Formulas

\omega=\frac{\varphi}{t}ω = φ / t

\omega=2\pi\nuω = 2πν

\omega=\frac{2\pi}{T}ω = 2π / T

v=\omega Rv = ωR

a_{\text{ц}}=\omega^2Raц = ω²R

NOTATION

\omega: Angular velocity is the speed of rotation of a body around an axis.
\varphi: Rotation angle - the amount of rotation of the body relative to the initial position.
t: Time is a quantity characterizing the duration and sequence of events.
\nu: Frequency is the number of repetitions of a process per unit of time.
T: A period is the time of one complete repetition of a process.
v: Velocity is the rate and direction of change of a body's position.
R: Radius is the distance from the center of the circle to its point.
a_{\text{ц}}: Centripetal acceleration is acceleration directed towards the center of curvature of the trajectory.

THEORY

PRACTICE