1Which of these has the same dimensions as angular frequency?
Angular frequency and activity both have the dimensions [T⁻¹].
Oscillations and wavesClass 11, Oscillations
Dimensional formula of Angular frequency
[T-1]
Equal to 2π times the frequency. Radians have no dimension, so it matches frequency.
How to get the dimensional formula of angular frequency
Quantities with the dimensions [T⁻¹]
Equal dimensions do not make them the same quantity. Compare angular frequency with the others in the full grid.
Three questions on angular frequency
2What is the SI unit of angular frequency?
The SI unit of angular frequency is the radian per second (rad/s).
3Which one has different dimensions from the others?
Intensity of a wave is [M T⁻³]. The other three are all [T⁻¹].
An equation that uses angular frequency
Equation checker
Matching dimensions are necessary, not sufficient. A check cannot see pure numbers such as 1/2 or 2π, so a consistent equation can still be wrong.
Read as
y = A sin(ω t - k x)y[L]=A sin(omega t - k x)[L]Dimensionally consistentEvery term is [L]
y = displacementω = angular frequencyt = timex = displacement
Angular frequency: quick answers
What is the dimensional formula of angular frequency?
The dimensional formula of angular frequency is [T⁻¹]. It comes from angular frequency = angle × frequency.
What is the SI unit of angular frequency?
The SI unit of angular frequency is the radian per second (rad/s).
Which quantities have the same dimensions as angular frequency?
Angular frequency shares [T⁻¹] with angular velocity, velocity gradient, frequency, decay constant, activity. Equal dimensions do not make them the same quantity.