Page 24 - Abstract book - TJSSF-2020

Thailand – Japan Student Science Fair 2020 (TJ-SSF 2020)
“Seeding Innovations through Fostering Thailand – Japan Youth Friendship”

A study of equations for showing double cone movement on the plane that
increase the slope

Pornpit Wasuwan , Phatsamon Wannakan
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Advisor: Sunsanee Boonsanit
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Princess Chulaborn Science High school Mukdahan,
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Abstract

This project is the study of equations for double cone that can move automatically on rails with
increasing slope. Most of 3D geometry shapes usually move following gravity but double cone has
different shape from them. We change radius of double cones to find the relationship between the double
cones and apply the general formula. We create the project to find the relationship of double cone by
using trigonometry and consume the result to improve creativity and imagination. We determine the
angle between the rail and ground, 2β for angle of rail and γ for angle inside the cone.

After the calculated conducting, the relationship of equation is tan <tan⁡(β) tan⁡(γ). The
value of radius that can find the value of tan ,tan , tan⁡(γ) are between 2-13 centimeters. Moreover,
the value of 3 angles must according to the relationship in order to moving on the increasing rail.

Keywords: double cone, radius, tan ,tan , tan⁡(γ)

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