What about looking at the topic and real question in the OP
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My question,
How does the flat earth society determine this number 9.8m/s2 without the mass of the Earth and radius of the Earth squared?
Yes, "How does the
flat earth society determine this number 9.8m/s
2"?
My simple answer is that there is no evidence in "the Wiki" or anywhere else that "The Flat Earth Society" ever did.
I suspect that they just "borrowed" it from main stream science - like they have done elsewhere when it suits them.
They
could measure "g" by dropping a weight - Galileo did not have the means of measuring time accurately so he used a "ball and ramp" as in:
Galileo Galilei
One prominent example is the "ball and ramp experiment." In this experiment Galileo used an inclined plane and several steel balls of different weights. With this design, Galileo was able to slow down the falling motion and record, with reasonable accuracy, the times at which a steel ball passed certain markings on a beam.
Once the theory of pendulums was developed the timing of a pendulum could be used to determine "g".
1673: Huygens' Horologium Oscillatorium
In 1673, Christiaan Huygens published his theory of the pendulum.
Robert Hooke, Isaac Newton and others (eg Jean Richer in a trip to Cayenne, French Guiana in 1671) used pendulums as a method of comparing "g" at various latitudes and altitudes.
So, there are a number of ways they
could measure "g", but have they?
We need a reply from Flat Earthers for that! We cannot answer it.