Power input and torque

Hello Physics Forum,



Thanks to the Physics Forum, I learned an equation that helps me understand the relation between torque and power generated for a wind turbine. The equation is



P = m * ω



and can be rewritten as



m = P/n * 30/∏



where m = applied torque, P = power generated, n = rpm, and ω is a constant * rpm



I understand the above equation, however, I would like to know the following:



If the applied torque is of a certain amount, it will produce an rpm of a certain amount, which will in turn generate a power of a certain amount.



Is that a correct interpretation?



I'll take a specific example to help me understand better. Suppose we put the following numbers into the above equation and get:





12,738 Nm = 2,000,000/1,500 * 30/3.14



If the power input produces 12,738 Nm of applied torque, then that will produce an rpm of 1,500, and that in turn will produce 2,000,000 MW of power generated. So, regardless of the source of the power input (e.g. wind or water power), so long as it produces enough power to generate 12,738 Nm of applied torque, then the power generated will be 2,000,000 MW.



The key, I am thinking, is to produce enough applied torque to generate the required rpm and therefore generate the power output. Is that a correct interpretation?



Thank you