scholarly journals Group theoretical formulation of free fall and projectile motion

2018 ◽  
Vol 39 (4) ◽  
pp. 045009
Author(s):  
Koray Düztaş
Keyword(s):  
Free Fall ◽  
Theoretical Formulation ◽  
Projectile Motion

scholarly journals Horizontal projectile motion: comparing free fall and drag resistance

2020 ◽  
Vol 17 (2 Jul-Dec) ◽  
pp. 156
Author(s):  
R. Yáñez-Valdez ◽  
P. A. Gómez Valdez ◽  
F. De Armas Rivero
Keyword(s):  
Drag Force ◽  
Equations Of Motion ◽  
Free Fall ◽  
Gas Velocity ◽  
Projectile Motion ◽  
Cross Section Area ◽  
Section Area ◽  
Particle Speed ◽  
Resistant Medium

The motion of a particle that is projected into a resistant medium and subjected to a uniform gravitational field is considered. The drag force that acts upon the particle within the medium is proportional to the particle’s speed, the density of the medium, and the cross-section area of the projectile. We review the problem of a horizontal motion with a drag force that is linear in speed. The problem is formulated in terms of particle speed, mass, height, time, and expelled gas velocity. The equations of motion are solved analytically, and a case study is discussed. As a result, we obtain the deviation of the projectile as a function of time because of the expelled gases with or without drag force.

Analysis of a Projectile Motion Problem in a Free-Fall Frame

2004 ◽  
Vol 42 (4) ◽  
pp. 236-237
Author(s):  
Daniel M. Smith
Keyword(s):  
Free Fall ◽  
Projectile Motion ◽  
Motion Problem

scholarly journals DEVELOPING MICROCONTROLLER BASED KINEMATICAL EXPERIMENT SET

2018 ◽  
Vol 2 (2) ◽  
pp. 372-381
Author(s):  
Bambang Subali ◽  
Agung Wibowo ◽  
Sunarno Sunarno ◽  
Wawan Kurniawan
Keyword(s):  
Large Scale ◽  
Free Fall ◽  
Data Retrieval ◽  
Design Tool ◽  
State University ◽  
Validity Testing ◽  
Physics Students ◽  
Projectile Motion ◽  
Limited Scale ◽  
Scale Test

This study was aimed at developing two sets of kinematics experiment namely free fall motion and microcontroller based projectil motion. This study used an R & D research design that involves descriptive and evaluative methods. This research was conducted at the Physics Laboratory of Semarang State University and the Science Laboratory Semarang. The stages of this research included design design, tool making, tool validity testing, data retrieval and data processing. Validity test was done to validate the feasibility of the tool by an expert in physics and tested to physics students. A limited scale test and a large scale test were also be done in this study.These tests were conducted to determine the level of readability of the tool and the level of appropriateness of the equipment. This study produced a microcontroller-based experimental set that was feasible for free fall motion and projectile motion experiments. Time measurement results by the kinematics experiment set for free fall motion and projectile motion obtained a better level of accuracy than the previous tool that is equal to 98.30% and has an accuracy level of 99.99%.

On high-altitude projectile motion

2011 ◽  
Vol 89 (10) ◽  
pp. 1003-1008 ◽  
Author(s):  
Jan Benacka
Keyword(s):  
Drag Coefficient ◽  
High Altitude ◽  
Free Fall ◽  
Coefficient Function ◽  
Gravitational Acceleration ◽  
Projectile Motion ◽  
Altitude Dependence ◽  
The Us ◽  
Shell Motion ◽  
Flight Parameters

In this study, the formulas for projectile velocity components and coordinates in a vacuum were derived with the altitude decrease in gravitational acceleration factored in. A model of cannon shell motion in the air is presented that accounts for the altitude dependence of gravitational acceleration, air density, the speed of sound up to an altitude of 84 km, and the speed dependence of the drag coefficient at trans- and supersonic speeds. The drag coefficient function is obtained by fitting to experimental data taken for the US M101 155 mm shell. The model gives flight parameters that agree with the published ones. The motion of the Paris Gun projectile is then modeled. The model shows that a range of 120 km is possible if the projectile mass is about 150 kg. A flat Earth approximation was used in the computations. Changing the launch angle to 90°, super high-altitude vertical ascent and free fall are modeled.

Proofs and Paradoxes: Free Fall and Projectile Motion in Galileo’s Physics

1992 ◽  
pp. 126-268 ◽  
Author(s):  
Peter Damerow ◽  
Gideon Freudenthal ◽  
Peter Mclaughlin ◽  
Jürgen Renn
Keyword(s):  
Free Fall ◽  
Projectile Motion

scholarly journals Silo discharge: influence of the particle shape on the velocity profiles

2021 ◽  
Vol 249 ◽  
pp. 03029
Author(s):  
Florencia Escudero ◽  
Marcela Camila Villagrán Olivares ◽  
Rodolfo Uñac ◽  
Ana María Vidales ◽  
Jesica Benito
Keyword(s):  
Flow Rate ◽  
Work Group ◽  
Free Fall ◽  
Velocity Profiles ◽  
Spherical Particles ◽  
Theoretical Formulation ◽  
Silo Discharge ◽  
Funnel Flow ◽  
Rate Formulation ◽  
Group 1

Experiments on the discharge of a silo with an inclined outlet are performed using flattened seeds in order to evaluate the validity of a previous theoretical formulation developed in our work group [1]. In that description, funnel flow regime is assumed to be based on a free fall parabolic arc. The shape of this arc is described with a parameter which is the only one involved in the flow rate formulation. An experimental analysis of the behavior of this parameter is carried out based on the geometry and shape of the grains within the silo. Also, video analysis of the silo discharge is performed in order to investigate the velocity profiles at the outlet of the hopper for these non-spherical particles. Experiments are contrasted with analytical predictions derived from the proposed formulation in order to assess and discuss its validity for the case of flattened particles.

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