A wind turbine has an overall height of 40m with blades that are 10m in diameter. What is a possible equation for a point on the tip of one of the three blades?
Added by Antonia D.
Step 1
The blade length is 5 m (half of the 10 m diameter). The blade tip moves in a horizontal circle of radius 5 m centered at the hub, which sits at the top of the tower at height 40 m. Show more…
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A wind turbine has blades 50m in diameter and an overall height of 125m. If it has four blades instead of three, create four equations modelling the height of a point on the tip for each of the four blades. 2. Create a sine equation for the height of a point as shown below. 3. A point on a wheel has an equation y = 10 sin (x - 45°) + 20 that models the height as the wheel rotates. Answer the following questions. a. What is the height if the wheel has rotated 135°? b. What are the possible values of rotation (i.e., the value of x) if the height is 15m? c. If the hub of the wheel were moved down 5m, what would the values of rotation (the values of x) be if the height were 15m?
Supreeta N.
19. The wind turbine at Exhibition Place in Toronto is 94 m tall and has three blades, each measuring 24 m in length. The blades turn at a frequency of 27 revolutions per minute. a) Use a sinusoidal function to model the height above the ground of one of the blade tips as a function of time. b) Graph the function over four cycles. c) Determine all times in the first cycle when the tip of the blade is 100 m above the ground.
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