Question

A wind turbine is rotating counterclockwise at 0.5 rev/s and slows to a stop in 10 s. Its blades are 20 m in length.

What is the angular acceleration of the turbine?

(a) -0.005 rev/s²
(b) -0.010 rev/s²
(c) -0.015 rev/s²
(d) -0.020 rev/s²

Answer 1

The angular acceleration of the wind turbine is -0.010 rev/s².

Step-by-step explanation:

To find the angular acceleration of the turbine, we can use the following equation:

angular acceleration (α) = (final angular velocity - initial angular velocity) / time

Given that the turbine is rotating counterclockwise, its signs will be negative. Therefore, the angular acceleration is:

α = (-0.5 rev/s - 0 rev/s) / 10 s = -0.05 rev/s²

So, the correct option is (b) -0.010 rev/s².