how much pushing force or HP+RPM would be needed to produce 1 PSI of turbo boost?

Question

x+ y= G

x=is the amount of HP
y= is the amount of revolution inside a turbocharger for a car

g= PSI or BARs power being send and compressed to an engine

how much of x and y to get G

description:

how fast and how much power does a turbo requires to push 1 PSI of power. i know it also requires on the turbos internal gear ratio, but usually how much RPM and HP

how much hot air from an engine exhaust in PSI would take to create 1 PSI of cold compressed air in a turbocharger? and what would be the rpm of the impeller on hot side and on the cold side?

what is the RPM needed to create 1 PSI in a supercharger?
what about the load maximum vs. PSI ratio inside the engines chamber?

there has to be a way to measure the engine power being made to drive the turbo impeller.

can the exhaust air from an be measure in PSI

Answer 1

Hate to tell you--but turbo's don't have an internal gear ratio, and because they just use exhaust back pressure and heat to drive the turbine and compressor wheel they use no measurable engine power to drive the turbo. now if your talking about a belt driven supercharger or blower. A nitro burning dragster making 5400 horsepower at the flywheel uses 900 horsepower to drive the blower at 48 psi at 10,500 rpms.
there is no direct ratio between the back pressure of an exhaust system and the boost pressure of a turbo. Turbos have different size volutes, compressor wheels, turbine wheels, turbine housing sizes, intake and discharge sizes. waste-gates, variable compressor housings--ext. I work with turbos that with 3 psi of exhaust restriction in the exhaust manifold have 27 psi of turbo pressure (before the waste gate opens), I have others that at 3 psi would produce 42 psi without a waste-gate. Some turbos its the volume of exhaust not the back pressure. Others the limiting factor is the restriction on the intake or the size of housing. You also run into the problem of over speeding the turbo. I can have a engine running at 1000 Rpms --back pressure 6 psi with a boost of 20 psi. raise the Rpms to 2000 rpms back pressure 15 psi and boost pressure 23 psi. There is no direct correlation. There is no way to tell you how much horsepower it takes to drive a turbo because there are thousands of different models and types. Some engine can show no horsepower loss with 3 psi restriction--why others would lose a lot.
Looks like I'm writing a book here--- first get on the internet and look at a turbo--the turbine and the compressor inpeller turn the same speed--because they are on the same shaft--at different ends of the center section. --yes, you can messure exhaust pressure--you just have to drill a hole in the exhaust manifold.