PHYSICAL QUANTITY

Angular velocity: formulas and units of measurement

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

\omega

\frac{\text{rad}}{\text{s}}

radians per second

KEY CONNECTIONS

Formulas

ω = \frac{φ}{t}

ω = φ / t

ω = 2 π ν

ω = 2πν

ω = \frac{2 π}{T}

ω = 2π / T

v = ω R

v = ωR

a_{ts} = ω^{2} R

ac = 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.
$v$: Speed is the speed and direction of change in body position.
$R$: Radius is the distance from the center of the circle to its point.
$a_{\text{ts}}$: Centripetal acceleration is acceleration directed towards the center of curvature of the trajectory.

THEORY

PRACTICE