I can conceptually understand that $2π/$angular frequency will result in the period. $2π$ represents a full cycle, and $\omega$ represents the angle per second of the wave. Then, it follows that a total cycle/the number of waves a second represents the period.

However, substituting $\omega=2\pi v/\lambda$, where $v =$ frequency, into $T=2\pi/\omega$, the equation simplifies to $T=v/\lambda$. As far as I was aware, $T$ is only $1/v$, and not $\lambda/v$. Where is the incorrect assumption I am making?

## Best Answer

Usually, $v$ (Latin letter vee) is velocity and $\nu$ (Greek letter nu) is frequency. You should have $T=1/\nu$ or $T=\lambda/v$, not $T=1/v$ or $T=\lambda/\nu$.