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Larger turbines must face the inescapable effects of scaling. Turbine power increases with the square of the radius swept by its blades: a turbine with blades twice as long would, theoretically, be four times as powerful. But the expansion of the surface swept by the rotor puts a greater strain on the entire assembly, and because blade mass should (at first glance) increase as a cube of blade length, larger designs should be extraordinarily heavy. In reality, designs using lightweight synthetic materials and balsa can keep the actual exponent to as little as 2.3.
Numbers Don't Lie: 71 Stories to Help Us Understand the Modern World
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