PHYSICAL QUANTITY

Cyclic frequency: formulas and units of measurement

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

\omega

\text{s}^{-1}

second to the minus first power

KEY CONNECTIONS

Formulas

ω = \frac{2 π}{T}

ω = 2π / T

ω = 2 π ν

ω = 2πν

ω = \frac{g}{l}

ω = √(g / l)

ω = \frac{k}{m}

ω = √(k / m)

ω = \frac{1}{L C}

ω = 1 / √(LC)

x = x_{m} cos (ω t)

x = xₘ cos(ωt)

i = I_{m} cos (ω t)

i = Iₘ cos(ωt)

q = q_{m} cos (ω t)

q = qₘ cos(ωt)

NOTATION

Quantities in formulas

$\omega$: 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

Cyclic frequency: formulas and units of measurement

Formulas

Quantities in formulas

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