A formula to estimate the volume rate of flow, \(Q\), flowing over a dam of length, \(B\), is given by the equation

\[ Q=3.09 B H^{3 / 2} \]

where \(H\) is the depth of the water above the top of the dam (called the head). This formula gives \(Q\) in \(\mathrm{ft}^{3} / \mathrm{s}\) when \(B\) and \(H\) are in feet. Is the constant, 3.09, dimensionless? Would this equation be valid if units other than feet and seconds were used?