Authors: Roman Vinokur
The free-fall time in air was studied using the new dimensionless number GH (here mentioned as the Galilei-Huygens number to commemorate the achievements of Galileo Galilei and Christian Huygens in physics of free fall), a combination of the falling body mass and effective cross-section area, air density, and air drag coefficient. This number equals zero in vacuum and can be interpreted as the ratio of the air drag resistance force, calculated for the final velocity of the freefall in vacuum from the same height, to the gravity force. The free-fall time in air is shown to be a function of two parameters: the free-fall time in vacuum and dimensionless parameter GH . In most practical cases ( ), this function can be closely approximated as the product of the free-fall time in vacuum and a linear function of the parameter GH. To illustrate the accuracy and simplicity of the approximate equation, the free-fall time was calculated for various spherical bodies (ping-pong and tennis balls, hailstones, basketball, and track-and-field men’s shot) if dropped off the Leaning Tower of Pisa. The results obtained are straightforward and traceable and can be of educational value and interest for physics teachers and students.
Comments: 9 Pages.
Download: PDF
[v1] 2016-04-18 19:53:36
[v2] 2016-12-05 18:04:18
Unique-IP document downloads: 489 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.