Translations and stretches to complex functions
Maths A2
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A2 Maths Translations and stretches to complex functions
Screen 1: How can engineers calculate the volume of water the Tunnel may have to capture during different rainfall events? We can start by modelling the flow through each CSO. Click next to see the diagram.
Screen 2: How can engineers calculate the volume of water the Tunnel may have to capture during different rainfall events? We can start by modelling the flow through each CSO.
Screen 3: How could you transform this graph to show the curve of flow rate for different: Rainfall intensity? Rainfall duration?
Screen 4: How does rainfall of different intensities and durations affect the flow through the sewer? What transformations to the graph of this function could represent these?
Screen 5: This equation represents a real rainfall event that lies on the CSO’s overflow threshold of 0.6m³/s: Intensity = 2mm / hour; Rain duration = 1 hour; Flow duration = 2 hours
Screen 6: What pair of transformations will modify the basic equation (shown in the previous slide) and account for this minimum flow level?