Enter the radius of the turbine (m), the velocity of wind (m/s), time of wind power generation (s) and the efficiency factor (%) into the calculator to determine the Wind Turbine Energy. 

Wind Turbine Energy Formula

The following equation is used to calculate the Wind Turbine Energy.

E = pi/2*r^2*v^2*p*n*t

  • Where E is the Wind Turbine Energy (Joules)
  • r is the radius of the turbine (m) 
  • v is the velocity of wind (m/s) 
  • n is the efficiency factor (%) 
  • T time of wind power generation (s)
  • p is the density of the air (1.225 kg/m^3)

How to Calculate Wind Turbine Energy?

The following example problems outline the steps and information needed to calculate the Wind Turbine Energy.

Example Problem #1

  1. First, determine the radius of the turbine (m). In this example, the radius of the turbine (m) is determined to be 5 .
  2. Next, determine the velocity of wind (m/s). For this problem, the velocity of wind (m/s) is measured to be 49 .
  3. Next, determine the efficiency factor (%). In this case, the efficiency factor (%) is found to be 34.
  4. Next, determine the time of wind power generation (s). For this problem this is 5 seconds.
  5. Finally, calculate the Wind Turbine Energy using the formula above: 

E = pi/2*r^2*v^2*p*n*t

Inserting the values from above and solving the equation yields: 

E = 3.14159/2*5^2*49^2*1.225*34/100*5 = 196352 Joules


Example Problem #2

Using the same method as above, first, we need to measure or determine the variables required by the equation. For this example problem, these are provided as follows: 

radius of the turbine (m) = 93

velocity of wind (m/s) = 5

efficiency factor (%) = 3

time (s) = 3

Enter these given values into the calculator or above yields: E = 3.14159/2*93^2*5^2*1.225*3/100*3 = 37445.877 (Joules)