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By Stefan Boshoff,
Country TRAX Instructor – Free State
Power and Torque –
Part 1
Winter is upon us.
Here in the Free State we are first to realize the fact, so if it has
not arrived in your village we can assure you that it’s on the way.
Winter is a time when biking activity tends to slow down a little,
except in Kwa Zulu Natal where there is one day of winter a year….
Doing some training in winter is a great idea of keeping active on
your bike. Days are not as hot as in summer which makes for a more
comfortable time on the bike and our venues all have fireplaces to
keep you warm in the evening whist you exchange wisdom gained from
the day’s training. Have a look at www.countrytrax.co.za.
T his
month we tackle a topic which is widely debated around braai fires
and internet forums, and we realized from listening and reading that
a significant number of riders debate the issue at “high” levels
without understanding the fundamentals. Hence this attempt to
explain Torque and Power and their relationship very briefly.
The basic concept of
any 4 stroke engine is shown in the picture. The piston moves down
the barrel, sucking a mixture of air and fuel through the inlet
valves. The mixture is compressed as the piston moves back up with
the valves closed. The spark plug now ignites the mixture and the
“explosion” results in expanding gas forcing the piston down
again. Upon return, the gas leaves the barrel through the exhaust
valve. The problem that engine designers are faced with, is that
mathematics have not changed since the days of Einstein, and
therefore the characteristics of an engine today are exactly the same
as they were since inception of the idea. The force that the
expanding gas transfers to the piston goes through the connecting rod
and creates a torque (rotational force) in the crank shaft. Once
torque starts moving (spinning), it becomes power, and the only way
you can make more power is by taking the torque you have and spinning
it faster.
Just to make sure we
understand the maths…. Force (N) = Mass (kg) x acceleration
(m/s2). The mass of the piston is accelerated by the
expanding gas, causing a force. Torque (Nm) = Force (N) x distance
(m). The distance we refer to here is the measurement from the
centre of the crankshaft to the centre of the connecting rod, or half
of the stroke length. Power (kW) = Torque (Nm) x Rotation rate (rpm)
/ 9550. Everyone trying to improve the modern day engine is stuck
with these mathematical truths, and there is nothing we can do about
it. We can vary the bore and stroke for a given cubic capacity. A
longer stroke is a good idea for increased torque, but that brings
about two other challenges. For the same cubic capacity, you now
have a smaller bore, which gives you less force. And the piston
velocity increases because it now has to travel through a longer
distance per one revolution. There are limits to piston velocity
which are dictated by the materials they are made of.
An important
variable that assists in generating force on the piston is known as
“compression ratio”. This is the ratio of the volume of gas in
the barrel with the piston right at the bottom and the volume when
the piston is at top dead centre (or right at the top of the stroke).
In other words, it determines the amount of pressure generated
during the compression stroke whilst the gas mixture is compressed
just prior to ignition. The higher the pressure, the greater the
force generated. Over time, as materials developed we see a trend of
increased compression ratios in engines, which is the biggest single
factor resulting in increased torque specifications for a given cubic
capacity and optimal fuel / air mixtures. The higher pressures
unfortunately cause increased stress on engine components, and we
have to live with the decline in reliability – unless better
materials of construction are utilized.
So let’s get
practical. Below is a table with some of the modern adventure bikes’
specifications. Just for good measure, we also added an old BMW
R80GS and two mighty superbikes namely the Yamaha R1 and the new BMW
S1000RR, just to prove the maths.
What we have
calculated, is a value we call “specific torque”. This value is
the torque generated per 1000 cc of capacity, divided by the
compression ratio. It proves that all the engines listed generate
the same specific torque within 5% of the average value.
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Nm
|
@
rpm
|
kW
|
@
rpm
|
Compression
Ratio
|
cc
|
Nm/1000
cc
|
Specific
Torque
|
Deviation
|
|
BMW
|
R80
GS
|
61
|
3750
|
37
|
6500
|
8.3
|
798
|
76.44
|
9.21
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-5.99%
|
|
Yamaha
|
660
Ten
|
58
|
5250
|
34
|
6000
|
10
|
659
|
88.01
|
8.80
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-1.28%
|
|
Yamaha
|
1200
Super Ten
|
114
|
6000
|
81
|
7250
|
11
|
1199
|
95.08
|
8.64
|
0.53%
|
|
BMW
|
1200
GS
|
115
|
5750
|
77
|
7500
|
11
|
1170
|
98.29
|
8.94
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-2.83%
|
|
KTM
|
990
|
95
|
6500
|
72
|
8500
|
11.5
|
999
|
95.10
|
8.27
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4.84%
|
|
KTM
|
990R
|
100
|
6500
|
84.5
|
8750
|
11.5
|
999
|
100.10
|
8.70
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-0.17%
|
|
KTM
|
690
|
65
|
6550
|
46
|
7500
|
11.7
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654
|
99.39
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8.49
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2.24%
|
|
BMW
|
800
GS
|
80
|
5700
|
62.5
|
7500
|
12
|
798
|
100.25
|
8.35
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3.86%
|
|
BMW
|
1200
GS- 2010
|
120
|
6000
|
81
|
7750
|
12
|
1170
|
102.56
|
8.55
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1.64%
|
|
BMW
|
S1000RR
|
112
|
9750
|
144
|
13000
|
13
|
999
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112.11
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8.62
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0.76%
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|
Yamaha
|
R
1
|
115
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10000
|
134
|
12500
|
12.8
|
998
|
115.23
|
9.00
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-3.60%
|
|
|
|
|
|
|
|
|
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Average
|
8.69
|
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We have seen that
for a specific engine configuration, we can only generate power (kW)
by spinning the torque faster. Just look at the rpm values for the
huge kW’s that the superbikes generate. Also notice the increased
compression ratios for the engines with higher torque. A good
example is the development of the GS over the years. The old R80GS
had a compression ratio of 8.3, compared to the 1200 GS with a CR of
11 and the new 2010 model up to 12. Now you know where the increased
torque comes from. From all of this, you can make a very good guess
of the maximum torque value for any engine if you know the cubic
capacity and compression ratio. In part 2 we take a deeper look into
power and torque curves and what we can learn from reading them.
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