Question: Show the dimensional analysis of the equation for RMS Velocity Gradient, G.

Two common units of energy are a joule and a newton. 1 joule is the energy transferred to an object when a force of one newton acts on that object in the direction of the force's motion through a distance of one meter. 1 newton is the force which gives a mass of 1 kilogram an acceleration of 1 meter per second squared (m/s2). G is the rotational velocity of the paddle in a flocculation basin. Show the dimensional analysis of the equation for RMS velocity gradient, G. P G= VuV Where G = RMS velocity gradient (54) P = power input (J/s) V = volume (m3) H = dynamic viscosity of water (N-s/m2) [Hint: reduce all units to the most basic units of mass, length and time (M, L, T), e.g., as kilograms, meters, and seconds]