So calculating the altitude simplifies into calculating the point where the magnitudes of the centripetal acceleration required for orbital motion and the gravitational acceleration provided by Earth's gravity are equal.
42.
When any moving vehicle is making a turn, it is necessary for the forces acting on the vehicle to add up to a net inward force, to cause centripetal acceleration.
43.
The centripetal acceleration always points towards the centre of curvature O and only changes the direction "'s "'of the forward displacement while the parcel moves on.
44.
This combination of gravity and inertia, along with G-forces and centripetal acceleration give the body certain sensations as the coaster moves up, down, and around the track.
45.
The centripetal acceleration that we feel makes the calculation non-trivial, but in general our time would be " slower " than that of an observer stationary relative to our rotation.
46.
That would imply an acceleration of 0.32 m / s ^ 2, still much greater than the actual equatorial centripetal acceleration of 0.034 m / s ^ 2.
47.
The net horizontal force producing the centripetal acceleration is generally separated into components that are respectively in the plane of the superelevated ( i . e ., banked ) track and normal thereto.
48.
But L \ approx R, and V \ approx U . The integral of the equation for centripetal acceleration, which will over a distance \ Delta r \ approx R will thus yield
49.
In practice, because the Earth is not an inertial rest frame but experiences centripetal acceleration towards the Sun, many aberrational effects such as annual aberration on Earth cannot be considered light-time corrections.
50.
However, as has been recognized for a long time, it has undesirable dynamic characteristics due to the large ( conceptually infinite ) roll acceleration and rate of change of centripetal acceleration at each end.
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