How does a turbine power the compressor in a jet engine?

In a jet engine, the turbine powers the compressor through a mechanical connection, typically a coaxial shaft.1

The process functions as follows:
* Energy Extraction: After fuel is burned in the combustion chamber, a continuous stream of high-pressure, high-temperature gases is produced. As these gases expand through the turbine, the turbine blades extract energy from the gas stream.2
* Mechanical Linkage: This extracted energy is transferred via a torque shaft—often referred to as a spool—that physically links the turbine to the compressor.21
* Spool Configurations: In many modern aircraft engines, multiple shafts or "spools" are used to connect different sections of the turbine to corresponding sections of the compressor. This allows the low-pressure and high-pressure components to rotate at different, optimized speeds.34

Essentially, the turbine acts as the engine's prime mover, utilizing the energy from the expanding combustion gases to drive the compressor, which in turn maintains the continuous intake and compression of air required for the Brayton cycle.25