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The Physics of Archery

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by

safwan alam

on 16 October 2015

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Transcript of The Physics of Archery

Elastic Potential stored in bow
ENERGY
Kinetic energy from arm
The Physics of Archery
Kinetic energy stored in arrow
Heat energy from arrow
Sound energy from arrow
Sound energy from bow
Heat energy from bow
Sport
Projectile Motion
Archer's Paradox
Experiment
Ideal Calculations
Actual Result
Efficiency
Use of Knowledge
The End
W=Fd
-Arrow is directed away from target
-Arrow still hits target
Given
F=70N
d=0.2m
The End
x,y,z components
3d world
distance bow was drawn
Bow
Arrow
Target
Path
Formula
m=0.01675m
mass of arrow
W= 14J
W=EP=EK
EK=(0.5)mv^2
-When string hits arrow, arrow oscillates
-like hammer hitting pole
t=0.22s
v=t/d
v=40.9m/s
http://www.real-world-physics-problems.com/images/physics_archers_paradox_2.png
-As string slips from hand, forces string and bow to go left
-As string returns to rest position it pulls arrow with it
d=0.2md=vt+(0.5)at^2
-Arrow releases from string, continuing to oscillate
-Curves around bow an hits target
The End
Bow
Arrow
Target
X component
Procedure

1.Create solid stance with feet
2.Place the arrow head on arrow rest and snap arrow onto string
3.Pull the string back to your face
4.Rest the hand against the face
5.Line up your sight, bow, and arrow with the target
6.Release the string
7.Hold the bow in position until arrow lands
Y component
Path
d=(0.5)at^2
d=0.76m
String
http://www.real-world-physics-problems.com/images/physics_archers_paradox_2.png
t=0.28s
Results Yielded from experiment
height of arrow on the target
d=0.62m
9.0 m
Initial height arrow was fired at
d=1m
1.0 m
Height?
Time?
Angle of Shot= 0 degrees (to the horizontal)
Draw Back= 0.2m
Force Used for Draw Back= 70N
distance between archer and target
Vi= ?
d=9m
Since the ideal velocity does not equal the yielded velocity There must be a lose of energy.
Actual Velocity
v=d/t
v=32.14m/s
v=d/t
origin: to hunt
objective: to hit target with arrow using a bow
initial velocity is zero in y direction
Ideal kinetic energy transferred to arrow
arrow accelerates after string is released
EK=14J
Actual kinetic energy transferred from bow
EK=(0.5)mv^2
EK=8.65J
Other Sources of Error
- 3 Dimensional world; z direction not considered
- Aerodynamics and Air Resistance
- Limitations of tools and equipment
Efficiency= (actual energy/ideal energy)100
Efficiency=61.78%
- Through experiments and analysis the sport of archery has been revolutionized over the years:
- Many different types of bows now exist, that are specified for different purposes (i.e Longbow, Short bow, Compound bows)
- Archer's paradox allows archers to better predict their target
- Understanding of energy lost allows more energy efficient equipment to be produced
- Understanding the world in three dimensions encourages more straight aim
projectile motion stops when arrow hits target
http://cdn.sheknows.com/articles/2012/08/cw-arrow-pilot.jpg
http://simage1.sportsmansguide.com/adimgs/l/2/219540_ts.jpg
Full transcript