A quarter-scale turbine model is tested under a head of 10.8 m. The full-scale turbine is required to work under a head of 30 m and to run at 7.14 rev/s. At what speed the model must run? If it (model) develops 100 kW and uses 1.085 m3 of water per second at this speed, what power will be obtained from the full-scale turbine, its efficiency being 3% better than that of model? What is the dimensionless specific speed of full-scale turbine?