7.10 The flowrate, \( Q \), of water in an open channel is assumed to be a function of the cross-sectional area of the channel, \( A \), the height of the roughness of the channel surface, \( \varepsilon \), the acceleration of gravity, \( g \), and the slope, \( S_{\mathrm{o}} \), of the hill on which the channel sits. Put this relationship into dimensionless form.