There's none. Wool came from sheep!
Wool belongs to a group of proteins (chemicals!) known as keratins. Unlike cotton and the majority of synthetic fibres, wool does not have a homogenous structure. Wool fibres have highly complex physical and chemical compositions.
Steel wool is made from an iron alloy, not a chemical compound with a formula.
Wool is a protein fibre. Proteins are chains of amino acids. In fibres their beta structure keeps the chains from coiling up.
The chemical formula of steel wool is Fe, which represents the element iron. Steel wool is composed mainly of iron, with small amounts of other elements depending on the specific type or grade of steel.
When the steel wool burns, it is oxidized and thus this is a chemical change.
Rusting of steel wool is a chemical change because it involves a reaction between iron in the steel wool and oxygen in the air to form iron oxide (rust). This new substance has different properties than the original steel wool.
Energy has no chemical formula as it is not a chemical.
chemical formula
The chemical formula for glucose is C6H12O6.
the chemical formula for a ribose is C12H22O11.
The chemical formula of mannose is C6H12O6.
The chemical formula for CF is carbon monofluoride.
The chemical formula for Fructose is C6H12O6