Final answer:
The question involves calculating the wind speed affecting a wind turbine based on the rotation speed and blade length using principles of circular motion.
Step-by-step explanation:
The question is asking you to analyze the speed of a wind turbine based on its rotational speed and blade length. Given that a three-bladed turbine takes two seconds to make a full revolution and the length of each blade is 15 meters, you can infer certain characteristics about its performance and the wind speed affecting it.
To solve this, you would typically use formulas related to circular motion and rotational kinematics, which might include the calculation of the tangential speed at the tip of the blade and using that to estimate wind speed.
In order to determine the increase in rotation speed of a wind turbine for every tailwind, we need to consider the relationship between wind speed and rotation speed. According to the given information, a wind turbine with a blade length of 15 m takes 2 seconds to make a full revolution. Assuming it's operating near the peak of its efficiency curve, we can calculate the inferred wind speed using the formula:
wind speed = (2 * π * blade length) / time taken to make a full revolution
Substituting the given values:
wind speed = (2 * 3.14 * 15) / 2 = 47.1 m/s