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P = E/tCan someone please help me with this one from May 2013 Paper 11:
18 A wind turbine has blades that sweep an area of 2000m2
. It converts the power available in the
wind to electrical power with an efficiency of 50%.
What is the electrical power generated if the wind speed is 10ms–1? (The density of air is
1.3kgm–3.)
A 130kW B 650kW C 1300kW D 2600kW
P = (1/2mv^2)/t [m = density p * volume V]
P = (1/2pVv^2)/t [Vol = Area A * length s]
P = (1/2pAlv^2)/t [l/t = speed v]
P = 1/2Alv^3
Substitute values, Answer is B.