Useful…

Useful Constants

Magnitude of Acceleration  due to Gravity (on Earth) g = 9.81ms-2
Newton’s Universal Gravitational Constant G = 6.673 x 10-11Nm2kg-2
Avogadro’s Constant Nm = 6.023 x 1023mol-1
Boltzmann’s Constant k = 1.381 x 10-23JK-1
Molar Gas Constant R = 8.314 JK-1mol-1
Permittivity of Free Space ϵ0 = 8.854 x 10-12C2N-1m-2

¼πϵ0 = 8.988 x 109Nm2C-2

Permeability of Free Space μ0 = 4π x 10-7TmA-1
Speed of Light in a Vacuum c = 2.998 x 108 ms-1
Planck’s Constant h = 6.626 x 10-34Js

ℏ = h/2π = 1.055 x 10-34Js

Rydberg Constant R = 1.097 x 107m-1
Bohr Radius a0 = 5.292 x 10-11m
Atomic Mass Unit amu = 1.6603 x 10-27kg
Charge of Proton e = 1.602 x 10-19C
Charge of Electron e = 1.602 x 10-19C
Electron Rest Mass me = 9.109 x 10-31kg
Charge to Mass Ratio of the Electron e/me = -1.759 x 1011Ckg-1
Proton Rest mass mp = 1.673 x 10-27kg
Neutron Rest Mass mn=1.675 x 10-27kg
Radius of the Earth 6.378 x 106m
Mass of the Earth 5.977 x 1024kg
Mass of the Moon 7.35 x 1022kg
Mass of the Sun 1.99 x 1030kg
Average Radius of Earth Orbit 1.50 x 1011m
Average Radius of Moon Orbit 3.84 x 108m

 

Quantity Unit Conversion
Speed m s-1  
Acceleration m s-2  
Angular Speed rad s-1  
Angular Acceleration rad s-2  
Linear Momentum kg m s-1  
Angular Momentum kg m2 s-1  
Force N (Newton) 1 N = 1 kg m-2
Energy J (Joule) 1 J = 1 N m
Torque N m  
Power W (Watt) 1 W = 1 J s-1
Pressure Pa (Pascal) 1 Pa = 1 N m-2
Frequency Hz (Hertz) 1 Hz = 1 s-1
Charge C (Coulomb) 1 C = 1 A s
Current A (Ampere) 1 A = 1 C s-1
Potential Difference V (Volt) 1 V = 1 J C-1
Electric Field NC-1 1 N C-1 = 1 V m-1
Resistance Ω (Ohm) 1 Ω = 1 V A-1
Capacitance F (Farad) 1 F = 1 A s V-1
Inductance H (Henry) 1 H = 1 V s A-1
Magnetic Field T (Tesla) 1 T = 1 N s m-1 C-1

=1 kg s-2 A-1

 

Useful Conversion
1 Degree ≈ 0.01745 radians
1 radian ≈ 57.30°
Absolute Zero (0K)  ≈ -273.15 °C
1 electron volt (eV) ≈ 1.602 x 10-19J

 

Derivatives

x dx/dt
A 0
tn ntn-1
sin(ωt) ω cos(ω t)
cos(ωt) -ω sin(ω t)
ekt kekt
Ay A(dy/dt)
y + z dy/dt + dz/dt

 

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~ by jamesdow2013 on March 29, 2013.

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