The power #P# generated by a certain wind turbine varies directly as the square of the wind speed #w#. The turbine generates 750 watts of power in a 25 mph wind. What is the power it generates in a 40 mph wind?

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Answer 1 · 2016-11-21T23:54:07

The function is #P=cxxw^2#, where #c=# a constant.

Let's find the constant:
#750=cxx25^2->750=625c->c=750/625=1.2#

Then use the new value:
#P=1.2xx40^2=1920# Watts.