As we know, angular momentum is given by, L=r×p⇒[L]=[M0L1T0][M1L1T−1]
=[M1L2T−1]
Torque is given by,
τ=r×F⇒[τ]=[L1][MLT−2]
=[ML2T−2]
Also, Stress ≡ Pressure =AF
Hence, [Stress] =[ML−1T−2]
Pressure Gradient =dxdP
Therefore, [Pressure Gradient]=[ML−2T−2]