Formulae

Mechanics

Mechanics is a area of physics which is related to the movement of solid bodys caused by applied forces. Since mechanical phenomena can be found easily in every days life, people were thinking about the nature of these phenomena since ancient times and found fundamental correlations between time and space. Typical tasks in mechanics are the calculation of important physical quantities like velocity, distance or acceleration of a moving body like a car. But also problems on larger lengthscales are included in mechanics like the description of the movement of planets or other celestial bodies. Fundamental breakthroughs in the theory of mechanics were achieved in the early modern age by physicists like Isaac Newton or Galileo Galilei. Furthermore, mechanics describes phenomena of fluid matter like gases or liquids and provides formulas to calculate the pressure as key parameter.
In the begining of the twentyth century new phenomena regarding atoms and particles were discovered demanding for a revision of the concept of mechanics. On small lengthscales the classical mechanics does not hold anymore which led to the development of the quantum mechanics.

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55 results

FormulaNameCategory
F=m*a Newtons second law Mechanics
F=dp/dt Newtons second law Mechanics
p=mv Momentum Mechanics
s=s0+v0*t+a*t^2 Distance-time law Mechanics
s=v*t Distance-time law Mechanics
v=a*t Acceleration law Mechanics
W=1/2m(v2^2-v1^2) Acceleration work Mechanics
2as=v2^2-v1^2 Newton!s formula of speed, displacement and time Mechanics
F=-G*m+M/r^2 Law of gravitation Mechanics
F=m*g Gravitational force Mechanics
F_H=m*g*sin alpha Downhill-slope force Mechanics
W=m*g*h Elevating work Mechanics
W=Gm1m2(1/r1-1/r2) Work in the field of gravity Mechanics
E=-Gm1m27r Energy in the field of gravity Mechanics
t_f=(2*h/g)^0.5 Time of free fall Mechanics
v_f=(2*h*g)^0.5 Final velocity of free fall Mechanics
a=ww^2*r Centripetal acceleration Mechanics
a=v^2/r Centripetal acceleration Mechanics
ww=2*pi/T Angular velocity Mechanics
F_zp=m*ww^2*r Centripetal force Mechanics
F=-D l Hookes law Mechanics
F=2mv x ww Coriolis force Mechanics
E_m=E_pot+E_kin Mechanical energy Mechanics
E=1/2mv^2 Kinetic energy Mechanics
E=mgh Potential energy Mechanics
E=1/2Dl^2 Elastic energy Mechanics
E=1/2Jw^2 Rotational energy Mechanics
M=r x F Angular momentum Mechanics
L=r x p Angular momentum Mechanics
L=mr^2 ww Angular momentum Mechanics
J=mr Mass moment of inertia Mechanics
L=Jw Angular momentum Mechanics
M=Ja Law of rotation Mechanics
dL/dt=M Law of the Angular momentum Mechanics
- Keplers first law Mechanics
DA/Dt=const Keplers second law Mechanics
T1^2/T2^2=a1^3/a2^3 Keplers third law Mechanics
s=F/A Mechanical stress Mechanics
e=F/A Strain Mechanics
s=Ee Hookes law Mechanics
E=ds/de Youngs modulus Mechanics
K=-DpV/DV Bulk modulus Mechanics
K=E/(3(1-2nu)) Elastic deformation Mechanics
ka=-(DV/V)/Dp Compressibility Mechanics
p=F/A Pressure Mechanics
p=rho g t Gravitational pressure Mechanics
p=p0*e(-rho0*g/p0*h) Barometric formula Mechanics
p=a(1-b/h)^c International heigth formula Mechanics
rho=m/V Density Mechanics
j=rho*v Equation of continuity Mechanics
p_g=p+p_dyn+p_geo Bernoulli equation Mechanics
Dl/l=aDT Thermal length expansion Mechanics
DV/V=gDT Thermal volume expansion Mechanics
d2y/dt2+D/m*l=0 Differential equation of spring oscillation Mechanics
BMI=m/L^2 Body-Mass-Index (BMI) Mechanics

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