AEROSPACE
41.225
Physical Constants
ISA sea-level density. Related: Aerodynamic calculations at sea level
10**1325
Physical Constants
ISA sea-level pressure. Related: ISA atmosphere, altimetry
288.15
Physical Constants
ISA sea-level temperature. Related: ISA atmosphere, speed of sound
R_sp = R_u / M_mol
Gas Properties
R_u = 8.31446 J/(mol·K)
CHEMICAL
3A * exp(-E_a / (8.314 * T))
kinetics
6.022 * 1023
Physical Constants
Avogadro's Number. Related: Molar quantities
K_c = prod(Y_j**eta_j) / prod(X_i**nu_i)
Reaction Kinetics
For aA + bB ⇌ cC + dD: K_c = [C]^c[D]^d / [A]^a[B]^b
MATERIALS
45E / (3 * (1 - 2 * nu))
elasticity
7.600000e+10
Material Constants
Bulk modulus for aluminum.
1.400000e+11
Material Constants
Bulk modulus for copper.
1.700000e+11
Material Constants
Bulk modulus for iron, the primary component of steel.
1.100000e+11
Material Constants
Bulk modulus for titanium.
2700
Material Constants
Density of aluminum.
2400
Material Constants
Density of concrete.
8960
Material Constants
Density of copper.
7850
Material Constants
Density of steel.
4506
Material Constants
Density of titanium.
933.47
Material Constants
Melting point of aluminum.
1357.77
Material Constants
Melting point of copper.
1811
Material Constants
Melting point of iron, the primary component of steel.
1941
Material Constants
Melting point of titanium.
0.35
Material Constants
Poisson's ratio for aluminum.
0.032
Material Constants
Poisson's ratio for beryllium.
0.34
Material Constants
Poisson's ratio for copper.
0.29
Material Constants
Poisson's ratio for iron, the primary component of steel.
0.32
Material Constants
Poisson's ratio for titanium.
E / (2 * (1 + nu))
elasticity
2.600000e+10
Material Constants
Shear modulus for aluminum.
4.800000e+10
Material Constants
Shear modulus for copper.
8.200000e+10
Material Constants
Shear modulus for iron, the primary component of steel.
4.400000e+10
Material Constants
Shear modulus for titanium.
897
Material Constants
Specific heat capacity of aluminum.
880
Material Constants
Specific heat capacity of concrete.
385
Material Constants
Specific heat capacity of copper.
490
Material Constants
Specific heat capacity of steel.
523
Material Constants
Specific heat capacity of titanium.
0.8
Material Constants
Thermal conductivity of concrete.
401
Material Constants
Thermal conductivity of copper.
50.2
Material Constants
Thermal conductivity of carbon steel.
2.310000e-5
Material Constants
Linear thermal expansion coefficient for aluminum.
1.700000e-5
Material Constants
Linear thermal expansion coefficient for copper.
1.200000e-5
Material Constants
Linear thermal expansion coefficient for steel.
8.600000e-6
Material Constants
Linear thermal expansion coefficient for titanium.
4.830000e+8
Material Constants
Ultimate tensile strength for 2014-T6 aluminum alloy.
4.000000e+8
Material Constants
Ultimate tensile strength for A36 structural steel.
4.140000e+8
Material Constants
Yield strength for 2014-T6 aluminum alloy.
2.500000e+8
Material Constants
Yield strength for A36 structural steel.
6.900000e+10
Material Constants
Young's modulus for aluminum.
3.000000e+10
Material Constants
Young's modulus for concrete.
1.170000e+11
Material Constants
Young's modulus for copper.
2.000000e+11
Material Constants
Young's modulus for steel.
1.160000e+11
Material Constants
Young's modulus for titanium.
MATHEMATICS
1a * f'
Derivatives
The derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function.
PHYSICS
1361.660539e+10
Physical Constants
The atomic mass constant constant.
Infinity
Physical Constants
The Avogadro constant constant.
9.274010e+10
Physical Constants
The Bohr magneton constant.
5.291772e+10
Physical Constants
The Bohr radius constant.
1.380649e+10
Physical Constants
The Boltzmann constant constant.
1.380658e-23
Physical Constants
A physical constant relating the average relative kinetic energy of particles in a gas with the thermodynamic temperature.
376.73031341259
Physical Constants
The characteristic impedance of vacuum constant.
2.817940e+10
Physical Constants
The classical electron radius constant.
7.748092e+10
Physical Constants
The conductance quantum constant.
1055.06
Constant — Conversion
0.3048
Constant — Conversion
745.7
Constant — Conversion
0.514444
Constant — Conversion
4.44822
Constant — Conversion
6894.76
Constant — Conversion
413
Constant — Acoustic
1.480000e+6
Constant — Acoustic
1.825000e-5
Constant — Fluid Properties
1.516000e-5
Constant — Fluid Properties
0.713
Constant — Fluid Properties
0.0257
Constant — Fluid Properties
0.33
Constant — Material Properties
7.000000e+10
Constant — Material Properties
1.661 * 10**(-27)
Physical Constants
Atomic Mass Unit. Related: Nuclear, chemistry
6.022141e+23
Constant — Universal
5.29177210**903e-11
Physical Constants
Bohr radius. Related: Hydrogen atom, QM calculations
1.381 * 10**(-23)
Physical Constants
Boltzmann Constant. Related: Thermo, Kinetic theory
2.426310**23867e-12
Physical Constants
Compton wavelength (electron). Related: Compton scattering, QED
3.000000e+7
Constant — Material Properties
8.988 * 109
Physical Constants
Coulomb's Constant. Related: Coulomb's law
10**00
Physical Constants
Density of Water (4°C). Related: Buoyancy, hydraulics
9.10**9 * 10**(-31)
Physical Constants
Electron Mass. Related: QM, atomic physics
1.602 * 10**(-19)
Physical Constants
Elementary Charge. Related: Coulomb's law, circuits
2.71828
Physical Constants
Euler's Number. Related: Exponentials, calculus
96485.33212
Physical Constants
Faraday constant. Related: Electrochemistry, Nernst equation
0.0072973525693
Physical Constants
Fine-structure constant. Related: EM coupling strength; α ≈ 1/137
1.2
Constant — Exhaust
8.314
Physical Constants
Gas Constant. Related: Ideal gas law
6.674 * 10**(-11)
Physical Constants
Gravitational Constant. Related: Gravitation
4.300000e+7
Constant — Fuel
4.250000e+7
Physical Constants
Lower heating value of diesel. Related: R040
4.400000e+7
Physical Constants
Lower heating value of gasoline. Related: R040
1.200000e+8
Physical Constants
Lower heating value of hydrogen. Related: R042
5.972 * 1024
Physical Constants
Mass of Earth. Related: Gravitation
0.018
Constant — Exhaust
0.0289647
Constant — Air (ISA)
3.14159
Physical Constants
Pi. Related: Geometry, trig, waves
6.626 * 10**(-34)
Physical Constants
Planck's Constant. Related: QM, Photonics
1.673 * 10**(-27)
Physical Constants
Proton Mass. Related: Nuclear physics
6.371 * 106
Physical Constants
Radius of Earth. Related: Gravitation
1.4
Physical Constants
Ratio of specific heats (air). Related: Speed of sound, isentropic relations, Brayton/Otto cycles
1.055 * 10**(-34)
Physical Constants
Reduced Planck's Constant. Related: QM
1.000000e-12
Constant — Acoustic
2.000000e-5
Constant — Acoustic
10**973731.56816
Physical Constants
Rydberg constant. Related: Hydrogen spectral lines
101325
Constant — ISA SL
340.294
Constant — ISA SL
287.058
Physical Constants
Specific gas constant (air). Related: Ideal gas law for air, speed of sound
1005
Constant — Air (ISA)
718
Constant — Air (ISA)
2.997925e+8
Constant — Electromagnetic
2.998 * 108
Physical Constants
Speed of Light in Vacuum. Related: Relativity, EM waves
343
Physical Constants
Speed of Sound (air, 20°C). Related: Sound waves, Doppler
1.013 * 105
Physical Constants
Standard Atmospheric Pressure. Related: Fluid statics
9.80665
Physical Constants
Standard Gravity. Related: Weight, projectile
0.3
Constant — Material Properties
5.670 * 10**(-8)
Physical Constants
Stefan-Boltzmann Constant. Related: Blackbody radiation
14.5
Physical Constants
Stoichiometric AFR — diesel. Related: R040
14.7
Physical Constants
Stoichiometric AFR — gasoline. Related: R040
-0.0065
Constant — ISA SL
1.482
Physical Constants
Thermoneutral voltage (H₂/O₂). Related: R042
1.0 * 10**(-12)
Physical Constants
Threshold of Hearing. Related: Decibel scale
11000
Constant — ISA SL
216.65
Constant — ISA SL
×(g_0/3600)
Constant — Conversion
8.31446
Constant — Universal
1.257 * 10**(-6)
Physical Constants
Vacuum Permeability. Related: Biot-Savart, Ampère, Maxwell
8.854 * 10**(-12)
Physical Constants
Vacuum Permittivity. Related: Coulomb, Gauss, Maxwell
998.2
Constant — Fluid Properties
0.001002
Constant — Fluid Properties
1.004000e-6
Constant — Fluid Properties
4182
Constant — Fluid Properties
0.0728
Constant — Fluid Properties
0.598
Constant — Fluid Properties
0.002897771955
Physical Constants
Wien displacement constant. Related: Peak wavelength of blackbody: λ_max = b/T
1.089290e+10
Physical Constants
The cosmological constant constant.
-2.0023193043609235
Physical Constants
The electron g-factor constant.
9.109384e+10
Physical Constants
The electron mass constant.
1.602177e+10
Physical Constants
The elementary charge constant.
s = s0 + v0 * t + 0.5 * a * t**2
Classical Mechanics
Calculates the final position of an object under constant acceleration.
v = v0 + a * t
Classical Mechanics
Calculates the final velocity of an object under constant acceleration.
v**2 = v0**2 + 2 * a * (s - s0)
Classical Mechanics
Relates final velocity, initial velocity, acceleration, and displacement for an object under constant acceleration.
96485.33212331001
Physical Constants
The Faraday constant constant.
1.166379e+10
Physical Constants
The Fermi coupling constant constant.
0.007297352564311
Physical Constants
The fine-structure constant constant.
3.741772e+10
Physical Constants
The first radiation constant constant.
1.191043e+10
Physical Constants
The first radiation constant for spectral radiance constant.
4.359745e+10
Physical Constants
The Hartree energy constant.
d(U)/d(T)
Statistical Mechanics
The heat capacity at constant volume, which is the change in internal energy with respect to temperature.
9.192632e+9
Physical Constants
The hyperfine transition frequency of 133Cs constant.
12906.40372
Physical Constants
The inverse conductance quantum constant.
137.03599917721
Physical Constants
The inverse fine-structure constant constant.
4.835978e+114
Physical Constants
The Josephson constant constant.
2.067834e+10
Physical Constants
The magnetic flux quantum constant.
8.31446261815324
Physical Constants
The molar gas constant constant.
1.000000e+10
Physical Constants
The molar mass constant constant.
1.200000e+11
Physical Constants
The molar mass of carbon-12 constant.
3.990313e+10
Physical Constants
The molar Planck constant constant.
1.205883e+10
Physical Constants
The molar volume of silicon constant.
-2.0023318412382
Physical Constants
The muon g-factor constant.
1.883532e+10
Physical Constants
The muon mass constant.
1.674928e+10
Physical Constants
The neutron mass constant.
6.674302e+10
Physical Constants
The Newtonian constant of gravitation constant.
5.050784e+10
Physical Constants
The nuclear magneton constant.
6.626070e+10
Physical Constants
The Planck constant constant.
5.585694689316
Physical Constants
The proton g-factor constant.
1.672622e+10
Physical Constants
The proton mass constant.
1836.15267342632
Physical Constants
The proton-to-electron mass ratio constant.
3.636948e+10
Physical Constants
The quantum of circulation constant.
R*C
Circuit Theory
1.054572e+10
Physical Constants
The reduced Planck constant constant.
L/R
Electromagnetism — Circuits
1.097373e+7
Physical Constants
The Rydberg constant constant.
2.179872e+10
Physical Constants
The Rydberg unit of energy constant.
1.438777e+10
Physical Constants
The second radiation constant constant.
0.2230523
Physical Constants
The sine-square weak mixing angle constant.
5.670374e+10
Physical Constants
The Stefan–Boltzmann constant constant.
3.167542e+10
Physical Constants
The tau mass constant.
6.652459e+10
Physical Constants
The Thomson cross section constant.
8.854188e+10
Physical Constants
The vacuum electric permittivity constant.
1.256637e+10
Physical Constants
The vacuum magnetic permeability constant.
25812.80745
Physical Constants
The von Klitzing constant constant.
0.8814513
Physical Constants
The W-to-Z mass ratio constant.
3.002916e+10
Physical Constants
The Wien entropy displacement law constant constant.
Infinity
Physical Constants
The Wien frequency displacement law constant constant.
2.897772e+10
Physical Constants
The Wien wavelength displacement law constant constant.
STRUCTURAL
1a_g * S * 2.5 / q
seismic, dynamics
Design response spectrum ordinate in the constant acceleration region (plateau). Used for determining seismic forces on structures with fundamental period between TB and TC.