Question

A wind turbine rotates at 20 rev/min. If its power output is 2.0 MW, the torque produced on the turbine from the wind is

Answer 1

Answer:

The torque torque produced on the turbine from the wind is approximately 955 kN·m

Explanation:

The number of revolution per minute of the turbine = 20 rev/min

The power output of the turbine = 2.0 MW

The power transmitted to a shaft equation is given as follows;

$Power , \ P = \dfrac{2 \cdot \pi \cdot N \cdot T}{60}$

Where;

P = The power transmitted to a turbine shaft = 2.0 MW

N = The number or revolutions per minute = 20 rev/min

T = The torque produced on the turbine by the wind

Therefore;

$Torque , \ T = \dfrac{P \cdot 60}{2 \cdot \pi \cdot N } = \dfrac{2.0 \times 60}{2 \times \pi \times 20} = \dfrac{3}{\pi } \ MN \cdot m$

The torque torque produced on the turbine from the wind = 3/π MN·m ≈ 0.955 MN·m = 955 kN·m.