A smooth \(200-\mathrm{m}\) pipe, \(100 \mathrm{~mm}\) diameter connects two reservoirs. The entrance and exit of the pipe are sharp-edged. At the midpoint of the pipe is an orifice plate with diameter \(40 \mathrm{~mm}\). If the water levels in the reservoirs differ by \(30 \mathrm{~m}\), estimate the pressure differential indicated by the orifice plate and the flow rate.