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Q. The dimensions of angular velocity, is

AIIMSAIIMS 1998Physical World, Units and Measurements

Solution:

The angular velocity is given by
$\omega=\frac{2\pi}{T}$
$\therefore \left[\omega\right]=\left[T^{-1}\right]=\left[M^{\circ}L^{\circ}T^{-1}\right]$