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Bibliography
http://www.directbadminton.co.uk/sport/badminton/badminton-rackets/junior-badminton-rackets
http://www.tradekorea.com/product/detail/P229677/DAYI-Nidw-Grade-Shuttlecock-Duck-feather-shuttlecock-badminton.html
https://www.physics.utoronto.ca/~jharlow/teaching/everyday06/reading05.htm
http://www.badminton-information.com/shuttlecock.html
https://www.biomedcentral.com/content/pdf/1471-2458-12-439.pd
http://hypertextbook.com/facts/2006/ShuMeiDeng.shtml
https://phys.org/news/2015-06-physics-badminton.html
Ex. 2: Defining Variables
Impulse in Sports
Many numbers used in example 1 stay the same, but the final velocity changes. Here is the data:
The Impulse Equation
Using the same equation...
Momentum changes all the time in sports. As opponents rally in hitting or kicking a ball, or swing objects like bats, impulses change the objects' momentum extremely often.
t=.001s
v initial=0m/s
v final=83.3m/s
m=.0055kg
So, that's the impulse of the shuttlecock when the velocity is 72.4m/s. But what about if Wang Zheng Ming hits the shuttlecock as fast as he can: at 83.3m/s?
Impulse is the change in momentum. Momentum is mass * velocity. To find impulse, calculate:
impulse=m*(V-Vi)
.0055*(83.3-0)
.0055*83.3=0.45815
The impulse of the shuttlecock hit at this speed is 0.45815kg*m/s,
or 0.46kg*m/s.
.46/.001=460N
However, the sport that will be focused on in this project is badminton.
by Olivia Kulig
What it Means
Measurements/Data
A standard shuttlecock is at most 5.5g, which is .0055kg.
Simply put, the impulse equation (read left to right) states the following:
The net force times time equals mass times the change in velocity
When a racket hits a shuttlecock, it starts from rest, meaning its initial velocity is 0.
The 2 fastest shuttlecocks in the world were hit by Wang Zheng Ming at 72.4 m/s
83.3 m/s.
Ex. 2: The Left Side
The change in momentum for this situation is .46kg*m/s.
Just like in example 1, F delta t can be rewritten as the change in momentum over the time.
.46/.001=460
The force here is 460N.
Ex. 1: Defining Variables
According to the following study,
https://phys.org/news/2015-06-physics-badminton.html
shuttlecocks are in contact with the racket for an average of .001 seconds when hit.
Here are the numbers of the shuttlecock's data.
t=.001s
v initial=0m/s
v final=72.4m/s
m=.0055kg
With this info, it is possible to calculate impulses of Wang Zheng Ming's fastest shots.
By using the right side of the impulse equation...
.0055*(72.4-0)
.0055*72.4=0.3982kg*m/s
m*(V-Vi)
The impulse of the shuttlecock is 0.3982kg*m/s
or .4 kg*m/s
.4/.001=400N
Ex. 1: The Left Side
So:
.4/.001=400
The force here is 400N.
F delta t can be rewritten as the change in momentum over the time. This allows for the definition of the force.
It has been established that the change in momentum is .4kg*m/s.