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The Physics of Swimming

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Alison Aguilar

on 19 September 2013

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Transcript of The Physics of Swimming

Archimedes Principle
Formula: Fb= pVg
F= ma
Drag
R=1/2DpAV^2
1st Law of Motion
Fk= uk(F)
Physics of Swimming
By: Alison Aguilar

Preview
History of Swimming

Basic Information

Archimedes Principle

2nd Law of Motion

Drag

1st Law of Motion

Closing
History of Swimming
OPENING CLINCHER
Every workout competitive swimmers do burns 650 calories per hour
Began in the Stone Age about 7,000 years ago

1603 First swimming organization formed in Japan

In 1578 Nikolaus Wynmann, German professor wrote the first swimming book

International body for swimming is the Fédération Internationale de Natation

Put in the Olympics in 1896 in Athens

Is a famously known sport all around the world
Basic Information
Four Basic and easy strokes

Front crawl or freestyle started in 1902 by Richard Cavill

Breaststroke started in the stone age first stroke to be invented

Butterfly started in 1926 German E. Rademarcher

Backstroke started in the early days by Harry Hebner
Fb= Floating Buoyancy(newtons)
p= Pool Density (lbs per cubic feet)
V= Volume (cubic feet)
g= gravity (meters per second)
Significant Relationship:
Direct relationship between weight and volume.
Jon in the Pool
If Jon went to the pool and he had a 2.5 cubic feet volume and the water in the pool had 62 lbs per cubic feet density and gravity is 9.8 m/s. What is Jon's floating buoyancy when he jumps into the water and floats back to the top?
V= 2.5 Cubic feet
p=62 lbs per cubic feet
g= 9.8 m/s
F= pVg

F= 62(2.5)(9.8)
F= 1519 Newtons
1519 Newtons is very dense and will keep Jon floating!
His floating buoyancy is keeping him afloat
2nd Law of Motion
F= Force (newtons)
m= Mass (kilograms)
a= acceleration (meter per seconds^2)
Relationship: The accleration depends directly on the force and mass of an object
Missy Franklin vs Allison Schmitt
If Missy Franklin weighs 75 kg and pushes off the wall at the start of her 100 freestyle at a force of 300 Newtons and is competing against Allison Schmitt who weighs 74 kg and pushes off the wall at the start of her 100 freestyle at a force of 320 Newtons . In the 2016 Olympics who has a faster acceleration?
Missy Franklin:m= 75kg
F= 300N a=?
Allison Schmitt:
m= 74kg
F= 320N
a=?
Missy Franklin: Allison Schmitt:
a=F/m a=F/m
a=300/75 a= 320/74
a=4m/s^2 a= 4.32m/s^2 Allison Schmitt will be faster than Missy therefore winning by barely anything
Missy vs Allison
If Missy Franklin weighs 75kg and pushes off the wall at the start of her 100 freestyle at a force of 300 Newtons and is competing against Allison Schmitt who weighs 74kg and pushes off the wall at the start of her 100 freestlye at a force of 320 Newtons. In the 2016 Olympics who has the faster acceleration?
Missy:
m=75kg a=F/m
F=300N a=300/75
a=? a=4 m/s^2
Allison:
m= 74kg a= F/m
F= 320N a=320/74
a=? a= 4.32m/s^2
Allison Schmitt has a faster acceleration than Missy by 0.32m/s^2. Therefore she will come in faster than Missy and be able to take the gold from her.
Missy Franklin
Allison Schmitt
R= Streamline Drag (pN)
D= Viscosity Constant of Water (m^3)
p= Density of Water (N/m^3)
A= Surface Area (sq meter)
V= Velocity (m/s)
Relationship: All the variables depend on one another as one changes so does the other one
Michael Phelps vs water
Michael Phelps swims in the 2012 Olympics with a velocity of 510,000 m/s and with a surface area of 6 sq meters. The density of the water is 9,739.2 (n/m^3). The viscosity constant of water is 2.389 X 10^-5(m^3). What is his streamline drag when he jumps into the water for his 200 meter butterfly event?
R=?
D= 2.389 X 10^-5(m^3)
p= 9739.2 (N/m^3)
A= 6 sq meter
V= 510000m/s
R= 1/2DpAV^2
R=1/2(2.389 X 10^-5)(9739.2)(6)(510000)
R= 355,984.32 pN
This means that Michael has a longer drag, therefore he has to begin kicking right as he gets off the block.
Fk= Force of Kinetic(N^2)
uk= Coefficient of Kinetic Force (N)
F= Normal Force (N)

Relationship: Direct relatioship between the forces.
If Missy Franklin has a coefficient of kinetic force of 300 N in the 2012 Olympics and has a normal force of 200 N at rest before the race. How much is her force of kinetic friction when turning off a flipturn on her last 50 in her 200 meter backstroke which she placed 1st place in?
Final Word Problem
Missy Franklin
uk= 300N Fk= ukX F

F= 200N Fk= 300N X 200N

Fk=? Fk= 500N^2

This means that she was flipping with a lot of force in order to get herself off the wall as fast as she can in order to pull the race in and win the gold.
Flip turn in order to pull ahead
Review
History
Basic information
Archimidies Principle
2nd Law of Motion
Drag
1st Law of Motion
Fun Facts on Swimming
Helps reduce stress
Keeps your lungs fit
Burns off more calories than walking or biking
Biggest Olympic Gold Medalist Michael Phelps (22 medals)
Comparative Word Problem
If we double Jon's volume and keep the gravity and density the same then what will be his floating buoyancy?
V=5 Cubic feet Fb= V x p x g
p= 62lbs per cubic feet Fb= 5 x 62 x 9.8
g= 9.8 m/s Fb= 3038 Newtons
This could equal the size of a cow or the size of a large horse. Since in pounds the 3038 Newtons would weigh 628lbs.
If Missy Franklin doubled her force in her 100 freestyle and kept her weight the same then what is her acceleration when she comes off her flipturn?
F= 600 N a= F/m
m= 75kg a= 600/75
a=? a= 8m/s^2
Double the Trouble
8m/s^2 will be faster than Bolt runs since Bolt runs at 10m/s^2 pace.
Comparative Word Problem
If we double Micheal's velocity and keep everything else the same then what will be his streamline drag?
R=? R= 1/2DpAV^2
D= 2.389 X10^-5(m^3) R=1/2(2.389 x 10^-5)(9739.2)(6)(1020000)
p=9739.2(N/m^3) R= 711968.63pN
A= 6 sq meter
V= 1020000m/s
Comparative Word Problem
If we double the Kinetic Force of Missy and kept the normal force the same then what is her Kinetic Friction?
uk= 600N Fk= uk x F
F= 200N Fk= 600 x 200
Fk= ? Fk= 120000N^2
This is comparative to the size of a boat.
Full transcript