why do you guy's like a turbo vs a centrif Supcharger?

And the original question was "Why the Preference to Turbochargers?"

The answer is:
A given Turbocharger is
1. a more effecient air pump than a comparable Supercharger
2. more tuneable to a wider range of Pressure Levels
3. costs less to setup, maintain, and repair

Turbocharging is simple enough to understand....if you understand all the rules.

Rule #1 you can only stuff a certain amount of air through a hole.
Like Water, air has a fluid like qaulity about it under pressure...it drags until its pushed and compressed....so you can only push a certain amount through a certain sized hole...like the Inlet and Exhaust of a Turbo....the bigger the holes, the more air can go through.....sizing is important.
Rule #2 Heat is Bad.....Intake Charge, Fluid Temp, Exhaust Temp
HEAT IS BAD.....200*f is usually the breaking point on the Intake and Fluid...Exhaust anything over 1600F is bad.
Rule 3.....If you ADD AIR....YOU MUST ADD FUEL or your pistons will make the sacrifice for you.
Rule 4. 100% of Air compressed at Turbocharger needs to make it to the Combustion Chamber.....piping leaks, coupling leaks, pressure drop, and poor exhaust sealing will cause tuning and durability issues.
Rule 5. Use quality fuel. Phillips 66 - 86 octane on 10psi is asking for it

Its all logical....but can go crazy real quick if there is a lack of proper fuel ratio at a given Air Pressure.

Turbocharging is supreme in extreme power capabilities.
There is nothing to argue about.
The FACT that a Roots Blower is used on a Top Fuel car is just that. Its a Fact. Turbochargers were not allowed in NHRA after their potential was realized. And supercharger developement went on to become what it is today. Turbochargers are the Best, though. Period.