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Physics
There is a lot of physics
involved in a turbocharger.
moment of Inertia = mass x
(radius x radius)
Turbochargers have a significant effect on the acceleration of the car.
But the turbo does not compress air right away because it takes time to
spin up the turbine, compress the air, and send it to the intake. There
is a big lag of power, when the car is accelerating. Inertia plays a
big role in this. If the turbo is smaller then it has lower radius and
thus lower moment of inertia. Smaller turbos speed up faster and
compress the air faster. This reduces the lag and the turbo boosts
quicker at lower speeds. A larger turbo has a higher radius of the
turbine. This increases the moment of inertia which increases the lag.
Even though the there is a lag at low speeds, there is more boost at
high speeds. Mass is also important. Some turbos have ceramic turbines
to reduce mass and thus reducing the moment of inertia.
Some cars are equipped with two turbochargers, a smaller and a large
one. This has a great advantage, because at low speeds the smaller
turbo boosts and at higher speeds the larger turbo boosts.
Air pressure
An average turbo boosts about 1.5 kg/cm^2 meaning that at sea level the
air pressure going into the engine is about 2.5333 kg/cm^2. The air is
less dense when the elevation increases. Regular cars experience loss
in power when there altitude increases because the air is less dense.
When there is less air then there is less fuel. The mixture entering
the combustion chamber has low fuel, therefore less total power. A
turbocharged car has better performance in higher elevation. The turbo
boosts up the air pressure at high elevations and makes it seem that
power is not lost. If the car is driving on roads below sea level the
air pressure is very high and with a turbocharger, the car experiences
great performance.
Air
temperature
When air is cool, there are more oxygen atoms for a given volume. The
turbo coolers are designed to cool the air before it gets to the
intake. Air being compressed and cool gives the most boost to the power
of the car. Many modified cars have a custom air filters that are
exposed to colder air. This gets more cold air to the intake. Many
turbocharged cars also have a custom air filter that helps preserve
more oxygen atoms for the engine. The cold air that enters the air
filter is then compressed by the turbo which heats up, is then moved
through the turbo cooler and to the engine intake.
Friction
The shaft that runs the turbine and compressor has fluid bearings.
Fluid bearings can be replaced by a special type of ball bearings.
These ball bearings are "super-precise bearings made of advanced
materials to handle the speeds and temperatures of the turbocharger.
They allow the turbine shaft to spin with less friction than the fluid
bearings used in most turbochargers." Lower friction helps the shaft
rotate with less resistance and decreasing the force to start spinning
the shaft.