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# A wind turbine has a tubular steel tower that is 60 meters

**Chapter , Problem 7.4.40**

(choose chapter or problem)

**QUESTION:**

A wind turbine has a tubular steel tower that is 60 meters high. It has three 30-meter-long blades attached to the top of the tower, as in Figure 7.63. (a) Blade 1 starts at the 3 oclock position and rotates counterclockwise. Find a formula for the height , in meters, of the tip of blade 1 as a function of the angle . As usual, we measure counterclockwise from the 3 oclock position. (b) Two ladybugs land on the blade, the first on the tip and the second half way between the tip and the rotor. Find functions describing the height of each bug above the ground as a function of the angle . 30 m 60 m Figure 7.63

### Questions & Answers

**QUESTION:**

A wind turbine has a tubular steel tower that is 60 meters high. It has three 30-meter-long blades attached to the top of the tower, as in Figure 7.63. (a) Blade 1 starts at the 3 oclock position and rotates counterclockwise. Find a formula for the height , in meters, of the tip of blade 1 as a function of the angle . As usual, we measure counterclockwise from the 3 oclock position. (b) Two ladybugs land on the blade, the first on the tip and the second half way between the tip and the rotor. Find functions describing the height of each bug above the ground as a function of the angle . 30 m 60 m Figure 7.63

**ANSWER:**

Q:A wind turbine has a tubular steel tower that is 60 meters high. It has three30-meter-long blades attached to the top of the tower, as in Figure 7.63.(a) Blade 1 starts at the 3 o’clock position and rotates counterclockwise. Find a formula forthe height , in meters, of the tip of blade 1 as a function of the angle . As usual, we measurecounterclockwise from the 3 o’clock position. (b) Two ladybugs land on the blade, the first on the tip and the second half way betweenthe tip and the rotor. Find functions describing the height of each bug above the ground asa function of the angle. Step by step solution:Step 1 of 3:The radius of the turbine is r=30mThe height of the rotor from ground is h’=60m