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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.

Impulse in Sports: Badminton and Momentum

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.

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