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QUESTION

The power P obtained from a windmill is directly

The power P obtained from a windmill is directly proportional to the cube of the wind speed s.

a) Write an equation that expresses this variation.

b) Find the constant of proportionality for a windmill that produces 96 watts of power when

the wind is blowing at 20 mi/hr.

c) How much power will this windmill produce if the wind speed increases to 30 mi/hr?

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ANSWER

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***** : P ** ******** ************ to **** of ********* S P

*** ****** *

** *

* ******* ***** k ** * ******** ** *

* {P/sāŒƒ3} ** speed *

= ** ****** ***** * *

96W * = ***

*

20āŒƒ3} = 96/8000 = ***** * * **** **

* = *** *

* ***** * =

k*sāŒƒ3 = ***********

* **** * * 324 *

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