Modern wind turbines are larger than they appear, and despite their apparently l

Question

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 59 m ion thistle at 14 rpm. You may want to review at the tip of a blade, what Is the speed? Express your answer to two significant figures and include the appropriate units. At the tip of a blade, what is the centripetal acceleration? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

part a:

angular speed=14 rpm=14 revolutions per minute

=14*2*pi radian per 60 seconds

=1.466076 rad/sec

speed=angular speed*radius

=1.466076*59=86.4985 m/s

in two significant figures, answer is 86 m/s.

part b:

centripetal acceleration=linear speed^2/radius

=86.4985^2/59=126.8134 m/s^2

in two significant figures, the answer is 130 m/s^2

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