File:BaseballProjectileGraph.svg

Summary

File information
Description

Trajectory of a projectile with viscous resistance, that is Stokes' law. Note that this only applies for low Reynolds numbers and thus in air only for tiny objects at very low velocity, certainly not a baseball. Instead, a drag force proportional to v² would have to be considered.

Source

Own work . Created myself to replace using Gnuplot, labels added afterwards.

Date

27 November 2006

Author

FauxFaux

Permission
(Reusing this file)

See below.


trajectory with Stokes drag:

# http://en.wikipedia.org/wiki/Wikipedia:How_to_create_graphs_for_Wikipedia_articles#SVG
set terminal svg enhanced size 1000 1000 fname "Times" fsize 36

# Sensible ranges
set yrange [-10:60]
set xrange [0:250]

# "ground"
set xzeroaxis lt -1

# Constants given in the article.
g=9.81
vt=33.0
v0=44.7
m=0.145
k=(m*g)/vt
theta=pi/4 # 45 deg.

# Some stuff not included in gnuplot 4.0-0.
e=2.71828183 #euler's constant
ln(q)=log(q)/log(e)

# Work out the time from the x coord (rearrangement by Derive).
tfromx(x)=-m*ln((m*v0*cos(theta)-k*x)/(m*v0*cos(theta)))/k

# Colours as article.
set style line 1 lt 2
set style line 2 lt 1

# Equation without air-resistance.
na(x)=x*tan(theta) - g*x**2/(2*(v0*cos(theta))**2)

# Equation with air-resistance.
ar(x)=(m*v0*sin(theta)/k)*(1-e**(-k*tfromx(x)/m)) - (m**2*g/k**2)*(e**(-k*tfromx(x)/m) + k*tfromx(x)/m - 1)

# Go!
plot na(x) ti "Without air-resistance", ar(x) ti "With air-resistance"

However, it seems that the SVG renderer here is completely different to local, if anyone wants to fix it, feel free.

Licensing

Content Disclaimer

Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.

  1. The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
  2. There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
  3. It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
  4. Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
  5. Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.