What is the dimensional formula of angular velocity?

If I is the moment of inertia and $\omega$  is the angular velocity, what is the dimensional formula of rotational kinetic energy $\frac{1}{2}I{\omega ^2}?$

Dimensions of permeability are

The dimensional formula of gravitational potential is:

If the velocity of light $c$, gravitational constant $G$, and Planck's constant $h$ are chosen as fundamental units, then the dimensions of mass in this system are:

If C and R represent capacitance and resistance respectively then the dimensions of RC are

A force $F$ is given by the equation $F = \alpha t^3 + \beta$. If $F$ is in Newtons and $t$ is in seconds, what are the units of $\alpha$ and $\beta$ respectively?

Which of these is a dimensionless quantity like solid angle?

The thrust developed by a rocket-motor is given by $F = mv + A\left( {{p_1} - {p_2}} \right)$, where m is the mass of the gas ejected per unit time, $v$ is velocity of the gas, A is area of cross-section of the nozzle, ${p_1}.{p_2}$ are the pressures of the exhaust gas and surrounding atmosphere. The formula is dimensionally

Write dimensional formula for the intensity of radiation

What are the dimensions of Planck's constant?