3. The following variables and their corresponding dimensions are important in describing the power imparted by a rotating impeller to an incompressible fluid in an agitated tank. P= power imparted by the impeller to the fluid (mL2/t3) N= rate of rotation of the impeller (1/t) D= impeller diameter (L) g= gravitational acceleration (L/t2) = liquid density (m/L3) = liquid viscosity (m/Lt) = time since start of operation (t) What is the number of dimensionless variables that describes this system? What are reasonable choices for these dimensionless variables? Describe in conceptual terms what each dimensionless variable means