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 53m long that spin at 14 rpm. Required:
a. At the tip of a blade, what is the speed?
b. At the tip of a blade, what is the centripetal acceleration?

Explanation:

Given that,

The length of the blades, l = 53 m

The angular velocity = 14 rpm = 1.466 rad/s

(a) The speed at the tip of a blade.

(b) The centripetal acceleration at the tip of the blade is :

Hence, this is the required solution.

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