<P> The rate of energy production per unit surface area, W i n (\ displaystyle W_ (in)) is given by </P> <Dl> <Dd> W i n = ε Q i n (\ displaystyle W_ (in) = \ epsilon Q_ (in)) </Dd> </Dl> <Dd> W i n = ε Q i n (\ displaystyle W_ (in) = \ epsilon Q_ (in)) </Dd> <P> where ε (\ displaystyle \ epsilon) is the heat engine efficiency and Q i n (\ displaystyle Q_ (in)) is the total rate of heat input into the system per unit surface area . Given that a tropical cyclone may be idealized as a Carnot heat engine, the Carnot heat engine efficiency is given by </P>

When does the cyclone storm reach its greatest intensity