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 53 m long that spin at 13 rpm .

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

Answer 1

`v \approx 72.152\,(m)/(s)`

Step-by-step explanation:

The linear speed of the turbine is:

`v = (53\,m)\cdot (13\,(rev)/(min) )\cdot((2\pi\,rad)/(1\,rev) )\cdot ((1\,min)/(60\,s) )`

`v \approx 72.152\,(m)/(s)`