A blade of a wind turbine is 25 m long. If a turbine has three blades that are e

Question

A blade of a wind turbine is 25 m long. If a turbine has three blades that are equally spaced, what is the length of the arc between the ends of two blades? If the turbine rotates at a constant speed so that it makes 6 revolutions every minute, what is the angular speed of the turbine blades? What is the linear speed of a point at the end of the blade? A gust of wind applies a constant force to the turbine so that it speeds up from G revolutions per minute to 8.5 revolutions per minute after 7.5 seconds. Find the angular acceleration of the turbine and the angular distance each blade travels in that time.

Explanation / Answer

a)

angle between each blade

angle = 2pi/3

length of arc

L = R x angle

L = 52.359 m

b)

w = 6x2pi / 60

w = 0.6283 rad/sec

v = R w

V = 15.7 m/sec

c)

w1 -w0 = alpha x t

substituting values we get

alpha = 0.0349 rad/s^2

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