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neonwatty / machine_learning_refined

Notes, examples, and Python demos for the 2nd edition of the textbook "Machine Learning Refined" (published by Cambridge University Press).
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Example 3.3 Galileo and uniform acceleration #15

Closed AKJ7 closed 3 years ago

AKJ7 commented 4 years ago

Hello sir,

i was trying to solve Exercice 3.4: Reproduce Galileo's Example, which meant reproducing the graph of Example 3.3, and got w=0.0196, which should be the earth gravity: g=9.81 m/s^2. Since i was able reproduce the requested graphs, i suppose that w is correct, but was wondering why it doesn't match g. What are the units of the input values?

Thank you.

RezaBorhani commented 3 years ago

@AKJ7 The data in that example was taken from the following paper wherein the authors attempted to reenact the Galileo’s ramp experiment with the kind of tools available at his time. For example, they used a water clock — just as Galileo did — to measure time, and because of that time here is given in milliliters of fallen water (as a proxy for seconds). See the original paper below for more information.

Reconstruction of Galileo Galilei's experiment: the inclined plane