              home  physics online guide physics help my info terms of use contacts    What is Physics? Mechanics Electricity and Magnetism Electric Field Gauss' Law about below subjects Electric Potential Capacity Direct Current Magnetic Field Magnetic Field Laws Magnetic Interactions Electromagnetic Induction Maxwell's Equations Oscillations and Waves Simple Harmonic Motion Damped Harmonic Motion Driven Harmonic Motion Electric Oscillation Alternating Current Wave Motion Elastic Waves Electromagnetic Waves Optics Light Waves Geometrical Optics Interference Polarization Diffraction Fraunhofer Diffraction Dispersion, Absorption, Diffusion Doppler Effect Thermodynamics Ideal Gas Molecular Statistics Transport Phenomena First Law of Thermodynamics Second and Third Laws of Thermodynamics Imperfect Gas Liquids Solids Quantum Physics Thermal Radiation Quantum Properties of Light Wave Properties of Particles Planetary Model of Atom X-Rays Particle in Potential Well Pauli Exclusion Principle Nuclear Physics Solid State Physics Appendices  # Noninertial Mechanics

SI units & Physics constants

Noninertial mechanics investigates relative motion of objects inside noninertial reference frames Here (all units see here):

x, y, z is noninertial reference frame with origin at point O

x', y', z' is inertial reference frame with origin at point O'

m is mass of object is position  vector of noninertial frame with respect to inertial frame is position vector of object with respect to noninertial frame is position vector of object with respect to inertial frame is relative velocity of noninertial frame with respect to inertial frame is relative velocity of object with respect to noninertial frame is relative linear acceleration of object with respect to noninertial frame is linear acceleration of noninertial frame is angular velocity of noninertial frame is angular acceleration of noninertial frame

## General formulas

Noninertial reference frame is a frame of reference which is moving with acceleration

Absolute position vector of object is its position with respect to inertial frame given by vector sum Velocity of noninertial frame Relative velocity of object Acceleration of noninertial frame Relative acceleration of object ## Absolute velocity and acceleration

Velocity of transportation motion is absolute velocity of the point where the object is at the given instant with respect to inertial frame where is vector product of vectors and Acceleration of transportation motion is absolute acceleration of the point where the object is at the given instant with respect to inertial frame Coriolis acceleration Absolute velocity of object with respect to inertial frame Absolute acceleration of object with respect to inertial frame ## Fictitious forces

Total fictious force acting on object in noninertial reference frame Newton's Second Law for motion of object in noninertial reference frame where is resultant force of all real forces acting on the object from other bodies

## Fictitious force in translating reference frame Where:

m is mass of object is acceleration of the system is net external force applied from other bodies is fictitious force due to acceleration  is relative acceleration of the object with respect to the system

The fictitious force acting on the object due to acceleration  Equation for motion of the object inside the system ## Fictitious forces in rotating reference frame Where: is angular velocity of the system is angular acceleration of the system is radius of rotation of the object is relative velocity of the object with respect to the system

The fictitious force acting on the object due to angular acceleration is given by vector product The centrifugal force due to angular velocity The Coriolis force due to Coriolis acceleration Equation for motion of object inside the rotating system under the influence of fictious forces where is real net external force applied from other bodies home  |  physics online guide  |  physics help  |  my info  |  terms of use  |  contacts Dr. Nikitin © 2010       