|   We see or experience centrifugal force and 
inertia every day of our lives, and intuitively know how it works. One of the 
best examples is twirling a rope with a weight on the end. We know the faster 
and further out the weight is, and the heavier the weight, the further the 
weight will fly when we let go. This is because we store more energy in the 
weight as we move it faster, swing it in a wider circle, or use a heavier 
weight. The energy isn't really wasted, it is stored and released later. Common Questions There are several 
common questions 
about rotating mass. 
A few 
of them are: 
If I use a lighter 
crankshaft, how much 
power is gained? 
If cluster gear 
weight of a 
transmission is 
reduced, how much 
will acceleration 
improve? 
How much will a 
light-weight 
aluminum flywheel 
improve 
acceleration? 
How much ET can be 
gained from using lighter wheels? 
Does an aluminum driveshaft speed up my car? 
These 
questions can be 
answered if we know 
the weight change, 
the distance out 
from the center the 
weight change occurs 
at, the speed (RPM), 
and the time period 
over which the RPM 
change occurs. Even without exact calculations, we can get a feel for how things 
change. This will help us budget our money and make better choices, or at least 
have a feeling for what we are accomplishing. 
Using readily available 
on-line calculators, we can 
understand how changes in rotating mass will affect available horsepower in a 
vehicle. 
What does a rotating 
mass actually do?
A rotating mass 
does not really 
consume or dissipate energy. A rotating 
mass stores energy. The rotating mass 
eventually either returns energy to 
the system in a useful way, or 
something converts the stored energy to some 
other form of unwanted energy. The conversion might be with a friction, 
converting to heat. The  
energy stored might 
be helpful, like the smoothing of cylinder pulses in an engine flywheel. The 
energy stored also might not do 
anything at all, or the stored energy 
can even be harmful, reducing acceleration or braking.  
 
Accelerating an unnecessary rotating mass requires energy, and 
the acceleration process saps some of the horsepower we have available to 
accelerate our vehicles. Reducing 
available horsepower affects acceleration in a very predictable manner, and the 
horsepower amount needed to spin something up gives us some feel for how important a part change might be. 
Four things 
determine the effect 
of rotating mass. Every one
of these things is important: 
  
  
  How quickly and 
  often a 
  rotating mass 
  speeds up or slows 
  down. Every time it is forced to speed up or slow down, it takes or releases 
	energy
  
  How heavy the 
  rotating mass is. More weight (with no other changes) stores or releases more 
	energy
  
  The rotating 
  weight's distance 
  outwards from the 
  centerline. The further out, the more energy pushed in and out of a given 
	weight
  
  How fast the weight 
  spins, or the speed the weight travels in a given circle diameter. The higher 
	the RPM, the more energy stored  
Here are how these things work: 
	If we push energy 
  into the rotating 
  mass and pull 
  energy out several 
  times, we move more power 
  around than if we 
  make a slow, smooth, 
  change in speed. It takes much more effort to repeatedly speed and slow 
	something in a short period of time than to gradually speed it or slow itThe amount of weight is the least important 
	thing! If we double the weight (with no other changes) we only double the 
	stored energy Weight distance  
  from the center 
  line is very 
  important, because 
  it determines the 
  weight's circular velocity 
  (speed)! Stored 
  energy goes up by 
  the SQUARE of the 
  radius change. If 
  we replace a 4-inch 
  diameter hollow 
  driveshaft with an 
  	8-inch 
  diameter tube of 
  exactly the same weight, 
  it is not just double. It is twice the size squared, or four times 
  the stored energy when it weighs the same!The faster we spin the weight, the more energy it stores. If we double 
  RPM, we 
  multiply stored 
  energy four times. 
  Again it is a 
  square of the 
  change, just like 
  	weight distance from centerline is a 
  square. The above is very important. If 
we double the effective "circle size" the weight is rotating at, we get 
four times the stored energy. If we simply double the weight without 
changing the spinning radius, we just double stored energy:  
	If we reduce 
mass from twenty 
pounds to ten pounds, 
keeping the same distance 
out and same peak RPM, we 
reduce stored 
energy to half the 
original amount. 
Reducing weight is a 
one-for-one change.If we cut diameter in half while 
keeping the same weight 
and RPM, stored energy 
will be 1/4 the original 
stored energy. This 
change is a square. 
Twice is a "four times" 
effect. 2*2=4. Four 
times is a sixteen 
time effect on 
stored energy. 
4*4=16If we cut 
RPM in half, we 
would reduce stored 
energy to 1/4 the 
original amount. 
Once again this is a 
squared change. 
Change RPM three 
times, and the 
stored energy 
changes nine times. 
3*3=9 
We should 
carefully think 
about what this 
means when we 
change things. 
Some changes are 
worthwhile, some are 
not. We also cannot use carte blanche rules, like the silly rumor that reducing 
a rotating weight is like dropping the vehicle weight four times that amount. As 
a matter of fact, it is probably never four times. It is more likely closer to 
one, and might even be less than one!  
Wheel Changes 
Let's assume, just as an example, all 
of a wheel's weight is at the 
outer edge and 
remains at the outer 
edge. If 
we reduce a wheel's 
diameter but keep 
the overall weight 
the same, the wheel 
is a spinning ring 
with smaller 
diameter. The 
smaller diameter 
increases the wheel's RPM at 
the same vehicle speed. 
The smaller diameter 
also moves the 
spinning weight 
closer to the 
center.  
Let's say we cut 
diameter in half. 
Now think about how fast the 
wheel spins. RPM 
will be twice 
what it was at the 
same speed. The 
half size diameter 
reduction spins the 
wheel twice as fast, 
and that would 
increase stored 
energy to four times the 
original amount if 
the weight was the 
same distance out. But the weight isn't the 
same distance out. 
The spinning weight 
is now half size. 
This 1/2 size 
reduction decreases 
stored energy by 
four times!  
If we did not change the weight or weight 
distribution, and we reduced a wheel and tire diameter by half but drove the 
same speed, nothing would change. It would be a major change that just broke even. Moving the  
weight closer to 
the rotation center reduced stored energy, but the increased RPM to maintain the same speed 
increased stored energy the same amount. 
One cancelled the other, and stored energy did 
not change! 
If we change tire and wheel diameter without 
changing weight distribution and weight in the tire and wheel, we don't change a 
thing.
In this example, we gained 
nothing from a significant physical change. 
We 
also lost nothing. 
 
Lightening the tire or wheel some distance out from the hub reduces 
stored energy. This is especially true if  
the weight reduction is far out 
from the center. If we change the weight one-pound fourteen inches out, it is 
like changing weight four-pounds seven inches out.
Which brings up an 
important point we 
almost never hear 
mentioned, a lower 
weight part might 
not be lighter at 
the outside edge. It 
might be lighter in 
the center, where 
the weight reduction 
doesn't mean much.
 
It is more important to make 
something as light 
as possible on the 
OUTER edge, rather than near 
the (wheel) center. 
Spending money on 
smaller or lighter 
rotors to save 
rotating weight should be down the list, because the 
rotating weight is 
closer to the wheel hub. Unless the 
rotors are huge and 
we take weight out of the 
rotor's outer areas, things 
will not change much.  
(A light rotor and wheel is good for 
reducing un-sprung 
weight, and that 
helps keep 
our tires in 
contact with the 
road. It also 
reduces vehicle 
weight. But this is a 
different problem. 
Here we are talking 
about rotation, not 
the bounce inertia 
or "dead weight".) 
If we spent money on 
the same weight 
reduction in the wheel, 
reducing weight out 
a little further away from the 
center, we would do 
much better. 
We would be removing weight 
further out from the 
center, where it 
does the most good. 
If we spent 
our money on a 
lighter tire we 
would be 
getting the very most 
return for the 
weight change. The 
tire's weight change 
is mostly outside 
between the rim edge 
and the tread area. We 
get maximum effect 
from the weight change! 
Think about this 
carefully. If we buy 
a lighter tire, we 
know for sure the 
weight comes off the 
most critical area. 
If we buy a lighter 
rotor, it is close 
to the center and, 
for the same weight 
change, the return is 
much less. 
The wheels also 
speed up and slow 
down gradually. With 
an 11-second car, we 
have 11-seconds to 
speed the wheel up. 
Most of the 
horsepower pushed 
into the wheel and stored is 
pushed in near the 
end, when 
acceleration is 
least. Since we have 
more time to push 
the bigger amount of 
energy into the 
wheel, it takes less 
horsepower than we 
might expect.  
Drive Shaft Example 
Now let's think 
about a drive shaft. 
The driveshaft is a 
fairly thin hollow tube. 
Nearly all drive shaft 
weight is 
at the outside, 
since it is (of 
course) hollow. 
The shaft also turns 
at the same RPM no 
matter what the 
driveshaft diameter, because 
the RPM is set by 
the rear end ratio, tire 
diameter, and 
vehicle speed. 
If we make a 
driveshaft lighter 
and keep everything 
else the same, the 
vehicle acceleration change is 
often 
insignificant.  
Why would it be insignificant in 
most cases?  
In the 
first place, the 
drive shaft is small 
in diameter. With a 
small diameter, less 
energy is stored for 
a given weight. In 
the second place, a 
driveshaft is 
really not that 
heavy. A steel 
Mustang driveshaft weighs 
somewhere around 30 pounds, so 
we just can't take that 
much weight out. 
 
Also, the 
driveshaft 
spins up gradually 
and smoothly 
over a long period 
of time. It 
accelerates fastest 
at slowest speeds, 
and that is when it 
needs the least 
energy to spin up. Because it 
has a long time to 
spin up, is a small 
diameter, and because it does not weigh much, 
the driveshaft does not remove 
very much horsepower 
at any instant of 
time. Despite 
what we are told, a change 
in driveshaft weight has, at 
best, a very 
small effect on 
acceleration. Likely 
any change is 
immeasurable in a 
street/strip car. 
Now a lighter shaft 
certainly can help 
in a very light 
vehicle. It can also help in a road 
race car (as will a light crank and flywheel), because road racing requires 
instantly changing from acceleration to deceleration.  
A light driveshaft won't change 
anything significant or measureable in a 3000-pound 
11-second car, 
except how fast 
dollars leave your 
wallet! 
Another worry is driveshaft diameter. If we go from 
a 30-pound 3-inch steel driveshaft to a 30-pound 3.5-inch aluminum shaft, we 
move the weight out 3.5/3 = 1.167 times. That increases stored energy 1.167^2 
times, or 1.36 times. If we store 0.3 horsepower in the shaft, changing the 
diameter will increase that to 0.4 horsepower. We would have to reduce weight 
14.3% to 25.7 pounds just to break even with the diameter increase.  
The worst thing about a driveshaft is the diameter 
is so small, and the acceleration time is so long, there just isn't much 
horsepower being sapped from the system. A typical steel driveshaft in a typical 
12 or 13 second car only stores an average of about 1/4 horsepower. If we got 
100% of that back with a zero weight shaft, we would never notice it. 
Good reasons to change a driveshaft are to get rid 
of vibration and harmonic resonances in the shaft, to make it stronger, or to 
simplify a two-piece driveshaft system. The silliest reason is to speed the car 
up. Even if we only pay $100 for a shaft, it would typically be much less than 
1/4-horsepower average gain. That would be paying much more than 100/.25 = $400 
per horsepower.  Paying a lot more than $400 per horsepower is not a good 
investment.   
Flywheel Change Horsepower 
A flywheel can be 
fairly heavy, and 
the weight is a good 
distance out from 
the center. It spins 
at crankshaft speed, 
and it has to abruptly change speed (slow down) at every 
up-shift.  
While a driveshaft stores around 1/4 horsepower 
spread over 12-13 seconds of time, the flywheel is entirely different. The 
stored energy in a 25-pound 13.5 inch diameter flywheel at 6000 RPM is something 
around 32,916 joule-seconds. This is 44.12 horsepower-seconds of power.   
 
Looking at a 13.5 inch diameter 25 pound steel 
flywheel at 6000 RPM, we have: 
  
  
  
  
  
  A 25 pound (400 oz)  flywheel has 
about 32,916 joules of energy. Since each joule is one watt/second, and since 
746 watts equal one horsepower, we have 32,916/746 = 44.12 horsepower-seconds 
stored. This would be one horsepower applied over 44 seconds, or 88 horsepower 
over 1/2-second, to reach 6000 RPM from zero. 
   
  
  
  
  
  
  
  
  
An aluminum 12.5 pound flywheel would have half that 
energy, because weight is a direct one-for-one change in energy. If we ran it on 
a calculator we would see: 
  
  
 
  
  
This is about 16,485 joules, or 22 
horsepower-seconds of power. Before we run off thinking we will gain 22 
horsepower by swapping flywheels, we have to realize this is horsepower-seconds 
. Also, the flywheel is NOT starting from zero speed! 
  
  
  
  
  
  
  
  
  
If we launch our car at 4000 RPM, the flywheel 
starts at 44.4% of the 6000 RPM energy. (square of 4000/6000 times 6K RPM power) 
This is 19.6 horsepower-seconds with a steel wheel, and 9.8 horsepower-seconds 
with an aluminum wheel, of initial launch stored energy. We only have to add 12 
horsepower-seconds to the aluminum wheel, and 24 horsepower-seconds with the 
steel wheel. 
If we have two seconds to spin up to 6000, the 
engine will push either 6 horsepower average with aluminum, or 12 horsepower 
average with steel, into the flywheel. If we have 6 seconds to spool up, average 
horsepower is either 2 or 4 horsepower.  
Also, not all of that stored energy is wasted. When 
we shift to second gear, the extra energy is returned on the shift. The engine 
gets a "boost" as the flywheel power is returned to the slower-turning 
transmission input shaft. 
A car with street tires and traction issues will 
benefit from a heavier flywheel on launch, and be hurt more on the shift. 
A car with good traction will benefit on the launch 
with the heavier wheel, but could loose a little power as it runs up through low 
gear. 
Either way, we are not talking much power, and the 
results are highly dependent on the vehicle. We might gain ET or lose ET 
depending on many factors. 
There are two general ways the flywheel affects 
acceleration, although this can vary. In a 
light car with very 
fast 60-foot times, 
a lighter wheel can 
slightly improve 
60-foot times. This 
is because the 
launch is often at 
full throttle, the 
car generally has a 
steep gear, and we 
want to plant the 
tires hard into the 
track without 
encouraging spin. 
The tires hook hard, 
and usually have a 
very soft sidewall 
that absorbs shock. 
We want the engine 
to quickly match the 
RPM needed to move 
the rear wheels, and 
not overpower the 
available traction. 
It is a wide open 
throttle high-RPM 
launch. 
A typical 
street-strip car is 
different. Generally 
we can't launch at 
wide open throttle, 
the tires are 
stiffer walled, the 
suspension is 
heavier, and things 
just don't hit as 
hard. We actually 
want a heavy wheel 
(and a heavy crank) 
to smooth out the 
power. This lets us 
have a much more 
controlled launch, 
and smoothes out any 
sudden application 
of throttle. An 
aluminum wheel, 
especially when the 
car is severely 
traction limited and 
heavy, can really 
hurt 60-foot times. 
A light aluminum 
wheel not only makes 
a street car hard to 
drive, it usually hurts at 
the track. It is 
especially bad with 
a heavy street 
machine.  
Now that we have seen the flywheel in detail, we can 
compare it to the driveshaft. The flywheel is typically around 20-40 
horsepower-seconds of energy, and has a somewhat small effect on overall power. 
The driveshaft has about 5.5 horsepower-seconds of energy, and has the full 
length of the track to spin up.  
In a 13 second car, the driveshaft consumes about 
1.5 horsepower maximum over the first sixty feet.  If we cut the driveshaft 
weight in half with no increase in diameter, we would pick up 0.75 horsepower. 
If we increase diameter from 3 to 3.5 inches and reduce weight by 30%, we would 
just barely change the driveshaft's stored energy. The added diameter would 
increase stored energy 1.36 times, and the reduced weight would reduce stored 
energy by 30%. We would gain about 0.25 horsepower-seconds, or 0.02 horsepower 
average power gain over the track length with a 13 second car.   
 
  
Crankshaft 
A crankshaft is a 
bit worse than 
a drive shaft. 
A crankshaft 
accelerates and 
changes speeds through 
every gear, so it is 
constantly storing 
and returning energy 
to the system. In 
low gears it spins 
up pretty fast, 
spinning up from 
"launch" RPM to 
shift RPM. This 
spin up repeats at 
every shift. The 
crank also 
has to be heavy to 
support the pounding 
and tugging of the 
pistons and rods as 
they accelerate and 
decelerate, so we 
are dealing with 
some weight. 
Fortunately the 
crank diameter is 
small. A 3-inch stroke 
requires only a 1.5-inch throw radius. Unless we make a 
huge change in 
OUTSIDE weight in 
the counterweights, 
in most engines making the crank lighter 
makes very little sense. The 
dumbest thing to do 
is hollow out the 
crankshaft center 
because it is the 
smallest rotating diameter 
area. Don't believe 
this?   
Download the 
following technical 
paper from the
Scat Crankshaft 
website.                
Lightweight 
Crankshafts- 
Performance or 
Deception 
Scat has it 100% 
correct. Many bench 
racers, and even 
some crankshaft 
manufacturers, 
exaggerate a good 
bit! They 
remove weight where 
it makes little 
difference in stored 
energy, but might 
make a difference in 
strength. Some 
transmission experts 
worry about the 
wrong thing also. If 
we worry about the 
outside edge weight 
of the largest-diameter fastest-spinning parts that 
speed up and slow 
down at every shift, 
we are worrying 
about the correct 
parts. If we worry 
about parts that 
speed up at the rate 
of the driveshaft, 
we would be wasting 
our efforts. 
The purpose of the 
examples was to give 
you a feel for what 
to look at first. 
Any weight reduction 
is good for 
horsepower to weight 
ratio, but some 
weight reduction has 
a bigger payback. 
Things that change 
speed often, change 
speed rapidly, 
and/or are heavy at 
a large distance out 
from the 
center...make the 
most difference. 
Look there first.
 
The last "things" to 
worry about are 
small diameter 
"things" that change 
speed a smaller 
amount, change speed 
over a longer time,  
and change speed 
less often. They 
will have much less 
stored energy. If we 
want to reduce 
rotating mass we 
should look at the 
heaviest things that 
speed up and slow 
down most often, 
spin the fastest, 
and are large in 
diameter with most 
of the weight at the 
outside edge. 
Why do things work 
this way?
First we have to 
understand what 
power and energy 
are, 
and what rotating 
mass does with that 
power or energy.  
Contrary to popular 
belief, rotating 
mass does not 
consume energy. A 
rotating (or moving) 
mass stores 
energy. This effect 
is very much the 
same as pouring 
energy in a bucket, 
much like 
charging a capacitor 
in an electronics 
circuit. Virtually 
all of the stored 
energy, except for 
that lost by 
conversion to heat, 
is still there and 
available to do work 
at some time in the 
future. That future 
where energy is 
returned might be 
milliseconds later 
and help us out, or 
it could be some 
considerable time 
later and waste 
energy. This is why 
time is very 
important. 
 
One example of 
useful energy 
storage is the 
flywheel and 
crankshaft of a car. 
The force on the 
crankshaft is in 
pulses. A common 
four cycle V8 has four power 
cycles per 
crankshaft 
revolution, and there 
are 100 turns of the 
crank per second. 
At 6000 RPM an 
8-cylinder 4-cycle 
has 400 power pulses 
per second. The flywheel (along 
with the harmonic 
dampener and weight 
of the rotating assembly) 
smoothes these pulses 
out by storing and 
releasing the pulsed energy 
from the explosions 
in the cylinders. 
The result is a 
smooth rotation that 
will not tear gears 
up, vibrate the car, or 
beat on 
bearings.  
We should always 
remember rotation, 
or movement of a 
mass, does not 
actually destroy 
energy. If it did, 
the earth would have 
stopped spinning 
millions of years 
ago! The key to 
understanding how 
weight changes 
affect performance 
is to understand 
some very simple 
basic energy flow in 
the system. 
 
  
  Definitions:
  
  
  Energy 
    
      
        
          
          Energy is 
          the 
          capacity 
          of a 
          physical 
          system to 
          perform 
          work. 
          Energy 
          exists in 
          many forms 
          like heat, 
          mechanical, 
          electrical, 
          and 
          others. 
          According 
          to the law 
          of 
          conservation 
          of energy,
          
          the total 
          energy of 
          a system 
          remains 
          constant. 
          Energy may 
          be 
          transformed 
          into 
          another 
          form, but 
          it is 
          constant 
          within a 
          system.
          
          For 
          example, 
          we all 
          know two 
          pool balls 
          eventually 
          come to 
          rest after 
          colliding. 
          They stop 
          moving 
          only 
          because 
          the 
          
          applied 
          energy 
          (from 
          moving the 
          cue stick) 
          is 
          eventually 
          converted 
          to heat 
          (from 
          friction 
          with air 
          and the 
          table) and 
          sound 
          (which is 
          not very 
          much of 
          the energy 
          loss).  
          The ball 
          movement 
          along the 
          table's 
          felt 
          surface 
          and 
          through 
          the air  
          transfers 
          energy 
          outside 
          the two 
          moving 
          balls to 
          the air 
          and 
          environment 
          around the 
          table and 
          into the 
          table 
          itself. 
          The 
          temperature 
          of the 
          table and 
          air rises 
          ever so 
          slightly, 
          because 
          the 
          applied 
          energy 
          moves 
          outside 
          the system 
          we "see"! 
          Since the 
          heat 
          energy is 
          spread all 
          around in 
          a very 
          large 
          area, we 
          don't 
          notice the 
          temperature 
          rise. We 
          just 
          notice the 
          balls 
          quickly 
          quit 
          moving. Another 
          example is 
          our car's 
          brakes. 
          The energy 
          stored in 
          the moving 
          weight of 
          the car is 
          converted 
          to heat by 
          friction 
          of brake 
          pads 
          rubbing 
          against 
          metal 
          rotors 
          attached 
          to the 
          rotating 
          wheels. 
          This 
          converts 
          stored 
          energy 
          (the 
          engine put 
          into the 
          weight of 
          the 
          vehicle) 
          into heat, 
          and the 
          heat 
          (containing 
          all of 
          that 
          energy) 
          radiates 
          out into 
          the air. 
          Most of 
          what we 
          actually 
          do in a 
          car is 
          move heat 
          around. 
  
  Newton's first law 
  
  A mass continues 
  in its state of 
  rest, or continues 
  uniform motion in 
  a straight line, 
  unless it is 
  compelled to 
  change that state 
  by forces 
  impressed upon it. Old guys like 
  Newton sure had a 
  lot of time on 
  their hands to 
  think about simple 
  things, but they 
  got it right. A 
  rocket coasting 
  through outer 
  space is a good 
  example. It will 
  go on forever in a 
  straight line 
  unless it hits 
  something, or 
  unless gravity or 
  some other  force 
  pulls it in a new 
  direction.
  The earth
  wants to 
  move in a straight 
  line, except 
  gravitational 
  attraction to the 
  sun bends its path 
  constantly.
  A bullet 
  reacts the same 
  way, except 
  friction with air 
  and gravity 
  changes the 
  direction and 
  speed gradually 
  over distance.
 
  
  Newton's second 
  law 
  
  The acceleration 
  produced by a 
  particular force 
  acting on a body 
  is directly 
  proportional to 
  the magnitude of 
  the force and 
  inversely 
  proportional to 
  the mass of the 
  body. We push harder 
  and/or longer, and 
  something moves 
  faster. If it is 
  heavier, we need 
  to push longer or 
  harder (or both) 
  to obtain the same 
  speed. It takes 
  more energy to 
  accelerate a 
  heavier object to 
  the same speed as 
  we might move a 
  lighter object to 
  that same speed. 
  We can either 
  apply more force 
  or apply the same 
  force over a 
  longer time to 
  make something 
  move faster. It is 
  all about TIME 
  times the POWER, or the amount of TIME an amount of POWER is 
  applied. This is 
  why those big 
  showoffs can 
  eventually move a 
  large boat, a 
  railroad car, or 
  an airplane. All 
  it takes is low 
  friction and 
  enough time and 
  someone who can't 
  move a Volkswagen 
  with two flat 
  tires can roll a 
  10-ton railroad 
  car.
   
Acceleration, 
Energy, and PowerAcceleration, 
by definition, is a 
change in direction 
or speed. If we slow 
something down it is 
acceleration, just 
in a negative 
direction. If we 
turn a vehicle or 
any other mass in a 
new direction, it is 
really acceleration 
at a new angle or in 
a new direction. 
This is why we can 
compare or define 
braking and 
cornering in G-force 
(g's), just as we do 
with "taking off" 
acceleration.
We apply force (and 
this means we apply 
energy) over time (force applied over time is power) to 
accelerate an 
object. If we want 
to spin a top, we 
apply force 
off-center from the 
axis and at right 
angles to the axis. 
The top stores the 
energy we apply, and 
continues to rotate. 
Over time the stored 
force is converted 
to heat from 
friction and the top 
gradually slows 
until it finally 
stops. 
Force is pressure or 
energy. The product 
of the time we 
apply the force 
and the amount of 
force is the 
power. Power over 
time is a very 
useful thing to us because it means we can do work with it. Power alone, without 
time it is applied, 
is not not so useful. Let me give 
some examples: 
"Watts" are a 
measure of power, 
much like 
horsepower. "Watts" 
alone are not 
speed, because a 
watt does not 
include a defined application time. A watt 
is only power level, or work level, of energy over an undefined time. 
If we include one 
hour's time we would 
have a watt-hour. 
Kilowatt-hours, 
watt-seconds, 
watt-hours, and 
other combinations 
of power level and 
time define 
electrical energy or 
work. This is why we 
billed for 
kilowatt-hours at 
our homes! If we 
were billed for 
plain old "watts", 
it would not tell 
anyone how much 
"work" we bought. 
Watts are a true 
scalar (single 
dimension) measure of ability to do work, 
just as horsepower 
is. Both indicate a 
force or the ability 
to do work, but both 
lack any inclusion 
of work time, so we have 
no idea how much 
work was done, or 
could be done. 
Horsepower is a 
function of RPM and 
torque, just like 
watts are volts 
times amperes. 
Horsepower is an 
ability to do useful work, 
but doing actual 
work requires 
time. Torque is 
pressure, and since 
it does not include 
speed it is not a 
very useful measure 
of system power or 
the ability to 
accelerate or move 
weight. Despite what 
we hear, 
crankshaft 
torque is not 
directly related to 
moving something off 
the line or pulling 
a heavy load. Up at 
the engine, it is 
really all about 
horsepower. The 
horsepower (torque 
at a certain RPM) is 
eventually converted 
through gears and 
other mechanical 
devices to a new 
torque value at a 
different RPM. 
Eventually all we 
care about is the 
rotational pressure 
on the contact patch 
of our tires that 
thrusts our car 
forward. A 800 lb/ft 
torque at 2000 RPM 
engine does not 
accelerate a vehicle 
as well as a 400 
lb/ft engine at 5000 
RPM, because 
horsepower is a 
product of torque 
and RPM. The higher 
RPM engine can be 
geared to provide 
more forward 
pressure at the 
wheels. The 
higher RPM engine, with less torque, has 
more horsepower.
 
If you notice, ET 
calculators don't 
ask for torque. This 
is because torque 
does not quantify 
the ability to do 
work. ET calculators 
ask for horsepower, 
because horsepower 
clearly defines an 
ability to do work. 
Joules are another 
common measure of 
ability to do work. A joule 
includes both time 
and force 
(pressure). A single 
joule is one 
watt-second, or the 
equivalent of one 
watt applied for one 
second. A single 
joule could be 10 
watts applied for 
1/10th of a second 
(10*1/10 = 1), the 
product of time and 
force only has to be 
ONE watt-second to 
make one joule. If 
we applied TWO watts 
for 1/2 second, we 
have the same work. 
Two watts for 1/2 
second is one joule 
(2*1/2=1). 
 
Horsepower can also 
be stated in 
kilowatts. One 
horsepower is 
approximately 0.7457 
kilowatts, or 745.7 
watts (the exact 
value is 
0.745699872 
kilowatts). 
This means 746 watts 
for one second is 
746 joules and that 
is one 
horsepower-second! 
One kilowatt is 
1.341 horsepower.
 
Many European 
engines are rated in 
kilowatts instead of 
horsepower, you've 
probably seen that. 
A 300-horsepower 
engine would be 
about 223.7 
kilowatts. Your 
house probably 
consumes between 2 
to 5 kilowatts of 
average power, 
depending on how 
large it is and how 
you heat or cool. 
This is somewhere 
between 2-1/2 to 7 
horsepower of 
average power. Think 
of what would happen 
to the power grid if 
we converted all our 
cars and trucks, 
like the Greenies 
want, to run on 
electricity! We 
would run out of 
electricity very 
quickly. 
How many joules are 
in 1492 watts when 
applied for 1/2 
second? 1/2 times 
1492 or 746 joules! 
746 joules is one 
horsepower-second. 
We could rate our 
engines in joules if 
we needed to include 
both power and time.
 
Horsepower and 
Acceleration
We know horsepower 
alone is not a 
measure of useful work results,  
we must know the 
time a certain 
horsepower is 
applied (or removed) 
to know how it 
affects 
acceleration. 
Fortunately there 
are horsepower 
calculators that 
predict ET for a 
given power. These 
calculators work 
because they know 
the distance, they 
know the applied 
horsepower (they 
assume it is 
constant), and from 
that they can 
calculate speed and 
elapsed time. They 
do this because they 
assume the power is 
applied constantly 
and they calculate 
the speed change 
over time. From the 
speed and time, they 
get the distance. 
When they see 1/4 
mile (or 1/8th mile) 
they stop 
calculating and 
display the speed 
and the time taken 
to reach that speed 
and distance. 
Now here is an 
interesting thing. 
It takes a certain 
number of 
horsepower-seconds 
(certain energy 
applied) to reach a 
certain speed for a 
given weight. If we 
make the vehicle 
twice as heavy, it 
takes twice as many 
horsepower-seconds 
(twice as much 
energy) to go the 
very same speed.
 
For example, go to 
this link: 
http://www.race-cars.net/calculators/et_calculator.html 
Now let's apply 100 
HP to go 1/4 mile in 
a 1000 pound 
vehicle. We went 
108.6 MPH in 12.55 
seconds. Now let's 
say we have a 2000 
pound car. To have 
the same speed and 
time, we have to 
also double the 
applied force. If we 
apply 200 HP in our 
2000 pound car we 
have exactly the 
same ET and MPH! Now 
we know why 
insurance companies, 
in the late 60's, 
often limited 
insurance to a car 
with 10:1 weight to 
horsepower ratio or 
more. They didn't 
care if it was a 
4,400 pound Super 
Bee Dodge with a 425 
HP hemi or a 315 HP 
3200 pound Hurst 
Rambler Scrambler, 
the insurance 
companies wanted 
weight to power over 
10:1 ratio or you 
could not buy 
insurance.  10:1 
weight-horsepower is 
at very best a 108.6 
MPH at 12.55 seconds 
car! My American 
Motors 10:1 
Weight-HP Hurst S/C 
Rambler, as a documented fact, 
set a new national 
ET record of 12.54 
seconds in the 1/4 
mile back around 
1970. 
Rotating Mass 
Let's say we want to 
change the drive 
shaft rotating mass 
to improve power 
available to the 
rear wheels. We all 
know most of the 
weight in a 
driveshaft is at the 
outer edge. It is a 
hollow tube. Let's 
say the original 
shaft weighed 30 
pounds, and we want 
to change it to a 15 
pound aluminum 
shaft.  The drive 
shaft is 3.5 inches 
in diameter. 
We can go to another 
calculator to find 
the joules stored in 
the driveshaft! When 
we know the joules, 
we know the 
horsepower-seconds 
sapped from moving 
the car. Let's say 
the engine peaks at 
6000 RPM at the end 
of the 1/4 mile, and 
that took 13 
seconds. 
Go to this 
calculator: 
http://www.botlanta.org/converters/dale-calc/flywheel.html 
The original 
driveshaft weighed 
30 pounds and we had 
to spin it to 6000 
RPM. If we input 
that, we see it 
consumed (and 
stored) 5310 joules. 
480 ounces in a 3.5 
inch diameter RING 
(hollow center) and 
6000 RPM. 
 
That is 5310/746 = 
7.12 
horsepower-seconds 
to spin the shaft to 
6000.  Since the 
time was 13 seconds, 
the shaft soaked up 
0.548 horsepower 
distributed over 
that 13 seconds.
 
Now we change to the 
aluminum shaft. 
Everything is the 
same except the 
weight, it is now 15 
pounds or 240 
ounces. Using that 
flywheel calculator 
we find we used 2655 
joules. This is 
2655/746 = 3.56 
horsepower-seconds. 
Over 13 seconds, we 
"stored" .274 
horsepower. The net 
gain in available 
energy over 13 
seconds was about 
1/4 horsepower.
 
Here is the real 
rule of how this 
works.... 
If we are spinning 
up a very large 
diameter mass, or a 
very heavy mass, and 
we do it rapidly, we 
sacrifice a lot of 
available power. If 
we are spinning up a 
very small diameter 
mass, especially 
over a longer period 
of time, we give up 
less power at any 
instant.  
The change from an 
aluminum flywheel to 
a steel flywheel is 
much more pronounced 
than the change of 
the same weight in a 
driveshaft because 
the aluminum wheel 
is much larger in 
diameter. We also 
speed and slow the 
flywheel as we 
accelerate and 
shift, instead of 
smoothly spinning 
the thing up like a 
driveshaft. 
The truth is for 
drag racing, unless 
we have a God-awful 
fast car or a road 
race car where we 
have to instantly 
change power, an 
aluminum wheel 
barely makes a 
perceptible change 
over a steel 
flywheel. The 
aluminum wheel can 
actually be slower 
in a drag car, 
because the applied 
power is not as 
smooth. It is harder 
to get a light 
aluminum flywheel 
out of the hole, and 
that can easily 
offset any small 
"available power" 
change. 
Summary
This is an 
approximation 
designed to give you 
a reasonable feel 
for how a change in 
rotating mass 
affects 
acceleration. We can 
see the power 
extracted to spin a 
weight up is not 
very much if we do 
not spin it up too 
quickly, or if what 
we spin is not very 
heavy and/or very 
large in diameter. 
The "feeling" most 
people cling to (and 
parrot) is that 
"heavier rotating 
mass kills 
acceleration".  This 
is generally not 
true at all for big heavy cars, although it can be true. Most 
things we fret about 
make no appreciable 
difference in the 
grand scheme of 
things. I would 
never bother 
changing from steel 
to an aluminum 
driveshaft in my 
car, because my car 
takes 11 seconds to 
go 1/4 mile. The car 
weighs 3000 pounds, 
and this means I 
might save 20 pounds 
of weight and 1/2 
horsepower lost to 
spinning that weight 
over the length of 
the track. $400 is 
not a good 
investment at all 
for 1/2 horsepower 
over the length of 
the track, or the 
extra 1/2 horsepower 
applied for 11 
seconds I have to 
extract at the end 
and convert back to 
heat with my brakes.
 
I don't really have 
to worry about how 
fast things spin up 
at this point. I 
don't care if the 
crank is 12 pounds 
lighter out of 50 
pounds. I don't care 
if the driveshaft is 
15 pounds lighter 
out of 30 pounds! Right now 
that $400 to $1000 
would go a lot 
further if it made 
20 more engine 
horsepower, or 
removed 60 pounds of 
static weight. When 
I start running out 
of easy power, then 
I will spend money 
making expensive 
things lighter. The 
big problem right 
now is traction, so 
right now I want to 
smooth the power 
out. The last thing 
I need is to make 
the car more 
critical for launch 
RPM by using a 
lighter flywheel or 
shock the tires more 
by using a lighter 
driveshaft. The 
first major weight 
reduction will be 
the front K members, 
because that would 
remove weight from 
the front and 
effectively add a 
larger percentage of 
weight to the rear 
wheels! The last 
weight reduction 
for my car will be an aluminum 
flywheel or 
driveshaft.   
                   
        
            |