Question

Determine the dimensions of q when q=1/2pv^2 when p =density and v=velocity

Answer 1

$$q=\frac{1}{2}\rho v^2.$$ $$[q]=[\rho]\times [v]^2$$ $$=\rm kg/m^3\times (m/s)^2=kg/(m\cdot s^2)=N/m^2=Pa.$$