Question

Energy production is proportional to the cube of the wind speed.

a) True, as stated by the kinetic energy formula.
b) False, energy production depends linearly on wind speed.
c) Only true for solar energy production.
d) Irrelevant to energy production calculations.

Answer 1

Energy production is indeed proportional to the cube of wind speed due to the reliance of power generation on the kinetic energy formula, which includes the wind velocity raised to the third power.

Step-by-step explanation:

The statement that energy production is proportional to the cube of the wind speed is true, as indicated by the formula for kinetic energy. This relationship means that a small increase in wind speed results in a large increase in the power available from a wind turbine. To exemplify, if wind speed doubles, the energy production increases by a factor of eight because the power of wind is related to the density of the air, the area swept by the wind turbine blades, and the cube of the wind velocity.