A model of a broad crested weir has been designed and constructed to study the discharge per foot (q) of the prototype. Because the overflowing water sheet is relatively thick, the surface tension and viscosity of the fluid are not critical to the analysis. However, the weir (prototype) discharge is affected by the weir head (H), the gravitational acceleration (g), and the weir height (h). Use the Buckingham Pi theorem (with weir head and gravitational acceleration as repeating variables) to derive an expression for the discharge per foot of weir.