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Not inertial frames
- Rotating reference frames are not inertial frames, as to keep something rotating (and thus change the direction of the linear velocity) requires the application of a net force.
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Is a rotating frame inertial?
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What is an inertial reference frame?
What is a rotating reference frame?
Why do laws of nature take a simpler form in inertial frames of reference?
How are the velocities in the inertial and rotating frame of reference related?
A rotating frame of reference is a special case of a non-inertial reference frame that is rotating relative to an inertial reference frame. An everyday example of a rotating reference frame is the surface of the Earth .
- Newton's 2nd Law
- Coordinate Representation, Change of Basis, Rotation Matrix
- Rotation Matrix
- Time Derivatives
The derivation of the Navier-Stokes equations is based on Newton's second law: It is assumed that the kinematics of a particle is determined by the particle's interaction with its physical environment. Every acceleration (change of velocity) is caused by an external force. If one eventually knows all relevant forces, the acceleration can be calcula...
Consider two cartesian coordinate system: One is inertial (inin) and the other one (rotrot) rotates with respect to the first one with constant angular velocity:Ω=dφdtΩ=dφdt(1)Without loss of generality, the zz-axes of both systems can be chosen to be aligned parallel to the axis of rotation. Then the relative orientation between the two coordinate...
The transformation matrix RR depends on the angle of rotation φ(t)φ(t) and contains the coordinates of the rotational unit vectors with respect to the inertial basis:R=([ˆxrot]in[ˆyrot]in[ˆzrot]in)=(cosφ−sinφ0sinφcosφ0001)R=([xrot]in[yrot]in[zrot]in)=⎛⎜⎝cosφ−sinφ0sinφcosφ0001⎞⎟⎠(5)(6)As it is characteristic for a rotation matrix,R−1=RTR−1=RT(7)sinc...
When the origins of the coordinates systems coincide, then the position vector →r→ris independent of the particular coordinate system, since it connects this common origin with a particle's location in space (which is also independent of the frame of reference).
In classical physics and special relativity, an inertial frame of reference (also called inertial space, or Galilean reference frame) is a stationary or uniformly moving frame of reference.
Dec 30, 2020 · Rotating reference frames are not inertial frames, as to keep something rotating (and thus change the direction of the linear velocity) requires the application of a net force.
An inertial reference frame is one that is not accelerating. It may be moving at constant velocity, but there can be absolutely no acceleration, including rotation! An object in motion tends to stay in motion unless acted upon by an external force.
An inertial frame is defined as one in which Newton’s law of inertia holds —that is, any body which isn’t being acted on by an outside force stays at rest if it is initially at rest, or continues to move at a constant velocity if that’s what it was doing to begin with.
Aug 31, 2020 · A rotating frame rotating at constant angular velocity with reference to a stationary one is considered non-inertial. It is not true, it depends on the nature of what you named "stationary" reference frame. If it is inertial, then the "rotating" frame is not inertial.
