
Ben S. answered 08/28/23
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Is there any existing calculations or models for this?
The centripetal or radial outward force F = Mω2R is responsible for the equatorial bulge that causes a slight reduction in the gravitational force from that experienced at the poles where the rotational velocity is zero. This difference is enough to cause tectonic plates to move around on a frictionless surface.
F = Force of circumference, M = Mass, ω = rotational velocity, R = Radius
Are these models already put into computer simulations or are they just available on paper?
As far as I know, they have already been used to program computer simulations of the earth's crust, but they are also available on paper, such as in print textbooks. Three-dimensional computer modeling suggests that plate geometry is governed by feedback between lithospheric strength and patterns of mantle convection.
What is the math behind this?
The forces associated with subduction are ridge pull, slab push, viscous drag, and buoyancy. They are generally stated in the following equation:
F (ridge push) + F (slab pull) - F (viscous drag) - F (buoyancy) = 0
This notation is used since all the forces acting on a body must balance out to zero.