List of equations in classical mechanics
This page gives a summary of important equations in classical mechanics.
Nomenclature
- a = acceleration (m/s²)
- F = force (N = kg m/s²)
- KE = kinetic energy (J = kg m²/s²)
- m = mass (kg)
- p = momentum (kg m/s)
- s = position (m)
- t = time (s)
- v = velocity (m/s)
- v_{0} = velocity at time t=0
- W = work (J = kg m²/s²)
- s(t) = position at time t
- s_{0} = position at time t=0
- r_{unit} = unit vector pointing from the origin in polar coordinates
- θ_{unit} = unit vector pointing in the direction of increasing values of theta in polor coordinates
Defining Equations
Center of Mass
where is the number of mass particles.Or in the continuous case:
Velocity
Acceleration
- Centripetal Acceleration
Momentum
Force
- (Constant Mass)
Impulse
- if F is constant
Moment of Intertia
For a single axis of rotation:
Angular Momentum
- iff v is perpendicular to r
r is the radius vector
Torque
if |r| and the sine of the angle between r and p remains constant.Precession
Energy
g is the acceleration due to gravity, one the physical constants.Central Force Motion
Useful derived equations
Position of an accelerating body
Equation for velocity