Follow these three steps in order to write the dimensional formula of any given physical quantity.

The dimensional formula for above given physical quantities are as follows:

1. Velocity :
   
   We have, Velocity (v) = \(velocity\left(V\right)=\frac{Displacement\left(d\right)}{time\left(t\right)}\)
   
   So, Dimensional formula of velocity is : \(\frac{\left[L\right]}{\left[T\right]}=\left[LT^{-1}\right]=\left[M^0LT^{-1}\right]\)
   
   
2. Linear Momentum :
   
   We have, Linear momentum (p) = \(mass\left(m\right)\cdot velocity\left(v\right)=m\cdot v=m\cdot\frac dt\)
   
   So, Dimensional formula of linear momentum is : \(\left[M\right]\cdot\frac{\left[L\right]}{\left[T\right]}=\left[MLT^{-1}\right]\)
   
   
3. Work done :
   
   We have, \(Word\;done\left(W\right)=Force\left(F\right)\cdot Displacement\left(S\right)\)
   
   
   \(=F\cdot S=\left(ma\right)\cdot S=\left(m\cdot\frac vt\right)\cdot S=\left(m\cdot\frac s{t\times t}\right)\cdot S=m\cdot\frac{s^2}{t^2}\)
   
   So, dimensional formula of work done is: \(\left[M\right]\cdot\frac{\left[L^2\right]}{\left[T^2\right]}=\left[ML^2T^{-2}\right]\)
4. Gravitational Constant (G) :
   
   We have, Gravitational Force  \(F=G\frac{m_1\cdot m_2}{r^2}\)
   
   Or, \(G=\frac{F\cdot r^2}{m_1\cdot m_2}\)
   
   Now, the Dimensional formula of force (F) is [ M L T^-2 ]
   The dimensional formula of the radius is [L].
   The dimensional formula of mass is [M].
   
   So, the dimensional formula of Gravitational Constant (G) is : \(\frac{\left[MLT^2\right]\cdot\left[L^2\right]}{\left[M^2\right]}=\left[M^{-1}L^3T^{-2}\right]\)
   
   
5. Torque :
   
   We have, \(Torque\left(\Tau\right)=Force(F)\left(\right)\cdot Perpendicular\;distance\left(d\right)\)
   
   Now, the dimensional formula of force (F) is [ M L T^-2 ]
   the dimensional formula of distance (s) = [L]
   
   Hence, the dimensional formula of Torque is : \(\left[MLT^{-2}\right]\cdot\left[L\right]=\left[ML^2T^2\right]\)
   
   
   
6. Frequency :
   
   We have, frequency \(f=\frac1t\)
   
   So, the dimensional formula of frequency is : \(\frac1{\left[T\right]}=\left[M^0L^0T^{-1}\right]\)
   
   
7. Angle :
   
   We have, Angle \(\left(\theta\right)=\frac{Arc\;Length}{Radius}\)
   
   So, the Dimensional formula of angle is \(\frac{\left[L\right]}{\left[L\right]}=\left[L^0\right]=\left[M^0L^0T^0\right]\) (dimensionless)
   
   Thus, Angle is a dimensionless physical quantity.