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Formelsammlung
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 F7 F9




Technical Mathematics Generally

The formula is very helpful with recurring arithmetic operations. Instead of again and again new find out, what is to be done with the length and width of a rectangle, in order to calculate its area, one should generally note this approach. This can happen in the form

 Area = Length · Width .

If one now uses the initial letters of the internationally valid, usually terms taken from the English language for the terms area, length and width, would have to stand there

 A = l · b .

A formula is thus a description, which arithmetic operations are to be applied to the designator necessary for the calculation.

Dimension/
identifier
Si-Basic units boldface

Units

Conversation

Angel (at the wheel)° (grad)1° = 60'  (angle minutes)
1 ' = 60"
(angle seconds)
Angel (at the steering wheel)° (grad)
(Ignition interval) angel° (grad)
Compression ratio  
Efficency
Air/fuel ratio
Friction
circumference/diameter3,14159 ...
Densityg/cm³1 g/cm³ = 1 kg/dm³ = 1 t/m³
(Mechanical) tensionN/mm² 
aaccelerationm/s² 
AAreamm², cm², dm²,
m², km²
1 km²=1.000.000 m²
=10.000 cm²
=100 dm²
bWidthmm, cm, dm, m1 m = 10 dm =
100 cm = 1000 mm
cFuel consumptionl/100 km 
dDiameter, boremm, cm1 cm = 10 mm
EEnergyNm, Ws, J, kJ (Joule),
kWh
1 Nm = 1 Ws = 1 J
1 kJ = 1000 J
1 kWh = 3600 kJ
fFrequencyHz (Herz), s-1 (1/s)1 Hz = 1 Oszillation/s.
FForceN, daN, kN1 kN = 100 daN
1 daN = 10 N
1 N = 1 kg·m/s²
gAcceleration of gravity9,81 m/s² 
GWeightN, daN, kN1 kN = 100 daN
1 daN = 10 N
1 N = 1 kg·m/s²
hHeightmm, cm, dm, m1 m = 10 dm = 100 cm = 1000 mm
iRatio  
ICurrentA (Ampere)1 A = 1000 mA
KCapacitanceAh (Amperehours) 
lLengthmm, cm, dm, m, km1 Seemeile = 1,852 km
1 Landmeile = 1,609 km
1 km = 1000 m
1 m = 10 dm = 100 cm = 1000 mm
1 Inch = 25,4 mm
mMassg, kg, t (Tonne)1 t = 1000 kg
1 kg = 1000 g
1 pound (lb) = 453,59 g
MTorqueNm (Newtonmeter)1 N · 1 m = 1 Nm
nnumbers of revolutions    s-1 (1/s)
min-1 (1/min)
1 s-1 = 60 min-1
ppressurePa (Pascal)
mbar, bar, N/cm²
1 bar = 10 N/cm²
1 bar = 1000 mbar
1 bar = 100.000 Pa
PPowerVA (Volt·Ampere),
W (Watt), kW,
PS (Horsepower)
1 W = 1 J/s = 1 Nm/s = 1 kg·m²/s³
1 W = 1 VA
1 kW = 1000 W
1 kW = 1,3596 PS
1 PS = 735,5 W
QHeat quantityNm, Ws, J, kJ (Joule)1 Nm = 1 Ws = 1 J
1 kJ = 1000 J
rRadius, lever armmm, cm, dm, m1 m = 10 dm = 100 cm = 1000 mm
RResistanceM, k, , m (Ohm)1 M = 1000 k
1 k = 1000
1 = 1000 m
sDistance, strokemm, cm, dm, m, km1 km = 1000 m
1 m = 10 dm
1 dm = 10 cm
1 cm = 10 mm
tTime (time)h, min, s1 h = 60 min
1 min = 60 s
tTemperature°C (grad Celsius)0 °C = 32 °F, 100 °C = 212 °F
TPeriodic times (second) 
TTemperatureK (Kelvin)0 °C = 273 K, 100 °C = 373 K
vVelocity
(velocity)
km/h1 m/s = 3,6 km/h
1 km/h = 0,278 m/s
UVoltageV (Volt)1 V = 1000 mV
VVolumemm³, cm³ (ml),
dm³ (Liter), m³
1 m³ = 1000 dm³ (Liter)
1 dm³ (Liter) = 1000 cm³ (ml)
1 cm³ (ml) = 1000 mm³
1 barrel = 159 dm³ (Liter)
1 gallon = 3,79 dm³ (Liter)
WWorkNm, Ws, J, kJ (Joule)1 Nm = 1 Ws = 1 J
1 kJ = 1000 J



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Translator: Don Leslie - Email: lesdon@t-online.de

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