a 40 - meter - long blade of a wind turbine makes one complete revolution in 10 seconds. to the nearest…

a 40 - meter - long blade of a wind turbine makes one complete revolution in 10 seconds. to the nearest tenth, the linear velocity of the blade is meters per second.

a 40 - meter - long blade of a wind turbine makes one complete revolution in 10 seconds. to the nearest tenth, the linear velocity of the blade is meters per second.

Answer

Explanation:

Step1: Calculate the circumference

The blade length is the radius $r = 40$ meters. The formula for the circumference of a circle is $C=2\pi r$. So $C = 2\pi\times40=80\pi$ meters.

Step2: Find the linear - velocity

The blade makes one complete revolution (covers a distance equal to the circumference) in $t = 10$ seconds. The linear - velocity $v$ is given by the formula $v=\frac{d}{t}$, where $d$ is the distance traveled and $t$ is the time taken. Here, $d = C=80\pi$ meters and $t = 10$ seconds. So $v=\frac{80\pi}{10}=8\pi\approx 25.1$ meters per second.

Answer:

$25.1$