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The two different uses of the term "fictitious force" are pointed out.
Below are a number of examples applying this result for fictitious forces.
In particular, the absence of fictitious forces is their identifying property.
The notion of "fictitious force" comes up in general relativity.
By Newton's second law, this will cause an object to experience a fictitious force if it is held still with respect to the field.
In an inertial frame outside the Earth, no such fictitious force is necessary.
In this rotating frame, what are the "coordinate" fictitious forces?
Other examples of fictitious forces occur in rotating frames such as the earth.
For a pilot in an airplane, for example, these fictitious forces are a matter of direct experience.
Next, the same approach is used to find the fictitious forces of a (non-inertial) rotating frame.
The role of fictitious forces in classifying reference frames is pursued further below.
So much for fictitious forces due to rotation.
These remaining terms then are called "fictitious forces".
Therefore the observer perceives the extra terms as contributions due to fictitious forces.
Other accelerations also give rise to fictitious forces, as described mathematically below.
Despite this complication, the use of fictitious forces often simplifies the calculations involved.
Despite the name, fictitious forces are experienced as very real by anyone whose immediate environment is a non-inertial frame.
It should not be confused with centrifugal force, a fictitious force from the center.
This conception of centrifugal force is very different from the fictitious force.
It is a fictitious force that acts upon all bodies which are described using a rotating frame of reference.
From the standpoint of a Lagrangian formulation, they can be called generalized fictitious forces.
In other words, in the inertial frame, fictitious forces are zero.
Scientists living in a rotating box can measure the speed and direction of their rotation by measuring these fictitious forces.
This led Albert Einstein to wonder whether gravity was a fictitious force as well.
To determine the components of acceleration, a general expression is used from the article fictitious force:
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