Problem: Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades' tips can be quite high-many times higher than the wind speed. A turbine has blades 59m long that spin at 13 rpm.a) At the tip of a blade, what is the speed?b) At the tip of a blade, what is the centripetal acceleration?

FREE Expert Solution

a)

At the tip of the blade, the speed, v = rω

Angular velocity, ω = 2πf

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Problem Details

Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades' tips can be quite high-many times higher than the wind speed. A turbine has blades 59m long that spin at 13 rpm.

a) At the tip of a blade, what is the speed?

b) At the tip of a blade, what is the centripetal acceleration?