A large wind turbine has blade 50 m long. In gale-force wind of 20 m/s, cal the rational rate if the blade tips were to equal the speed of sound ?

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Jonathan David Binnington

Is this your homework? Seems a very simplistic question to be asking here.....

Ok,I’ll bite....

blade length 50m, tip path circumference given by 2.pi.r = 100.pi

speed of sound variable but take 343m/s as a working figure

rotation rate of the blades to give a tip speed of 343m/s is 343/314.2 per sec. multiply by 60 for rpm

is 65.5rpm (if my arithmetic is correct.....)

how was your homework?