a) 10 sin (135° - 45°) + 20 = 10 sin (90°) + 20 = 20 + 20 = 40m
b) x = 45° + 180° + n(360°), where n is an integer; x = 225° + n(360°)
c) x = 45° + 180° + n(360°) - 5, where n is an integer; x = 220° + n(360°)
1.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.
Rotation Height
0° 140.0
30° 110.0
60° 88.0
90° 80.0
120° 88.0
150° 110.0
180° 140.0
210° 170.0
240° 192.0
270° 200.0
300° 192.0
330° 170.0
360° 140.0
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?
1 answer
1 answer