PHYSICAL QUANTITY

Angular frequency: formulas and units of measurement

Angular frequency: symbol ω, unit s⁻¹. Formulas and explanations for Oscillations and waves.

\omegaω\text{с}^{-1}second to the minus first power

KEY CONNECTIONS

Formulas

\omega=\frac{2\pi}{T}ω = 2π / T

\omega=2\pi\nuω = 2πν

\omega=\sqrt{\frac{g}{l}}ω = √(g / l)

\omega=\sqrt{\frac{k}{m}}ω = √(k / m)

\omega=\frac{1}{\sqrt{LC}}ω = 1 / √(LC)

x=x_m\cos(\omega t)x = xₘ cos(ωt)

i=I_m\cos(\omega t)i = Iₘ cos(ωt)

q=q_m\cos(\omega t)q = qₘ cos(ωt)

NOTATION

\omega: Cyclic frequency is the rate of change in the phase of oscillation.
T: A period is the time of one complete repetition of a process.
\nu: Frequency is the number of repetitions of a process per unit of time.
g: Gravity acceleration is the acceleration of a body under the influence of gravity without taking into account the resistance of the medium.
l: The length of the pendulum is the distance from the suspension point to the center of mass of the load.
k: The stiffness of a spring is a characteristic of its resistance to deformation.
m: Mass is a scalar physical quantity that is a measure of the inertia of a body.
L: Inductance is the ability of a conductor to create a magnetic field when current passes.
C: Electrical capacity is the ability of a conductor or capacitor to accumulate charge.
x: Displacement is the vector of change in body position relative to the starting point.
x_m: The displacement amplitude is the largest deviation in absolute value from the equilibrium position.
t: Time is a quantity characterizing the duration and sequence of events.
i: Current strength is the charge passing through the cross section of a conductor per unit time.
I_m: Current amplitude is the largest absolute value of the current during oscillations.
q: Electric charge is a quantity that determines the participation of a body in electrical interaction.
q_m: Charge amplitude is the largest absolute charge value during oscillations.

THEORY

PRACTICE