Posts Tagged ‘trigonometry’

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3. Movie Stunt MATH: The Motorbike Jump

October 23, 2018

Star Stuntman

Picture 2

Star Stuntman Monte Perin (pictured) has involved many films, including “Spider-Man,” “Star Trek, “Indiana Jones and the Kingdom of the Crystal Skull” and portraying Arnold Schwarzenegger’s stunt double in “Terminator 3: Rise of the Machines.”

1. perlin_stunt_ Terminator 3

Perhaps his most difficult stunt was landing his Harley in an open boxcar of a moving train for Disney’s 2008 Adam Sandler movie “Bedtime Stories”. In a career of over 25 years Perin has broken “almost everything” including both his arms, legs, knees, feet, ankles, several ribs, his back and his pelvis. See Confessions of a stuntman

Veteran stuntman Evel Knievel (1938 – 2007) was the pioneer of many stunt jumps. Here he is jumping 10 cars and 3 vans in 1973.

2 Evel Knievel JUNE-23-1973

His injuries are legendary:

3 the-many-injuries-of-evel-knievel1

More Evel Knievel

Ramp Design

4 Ramp Design Angle of final kicker

The angle of the kicker in ramp design can vary from 100 – 700 (See below)

5 Robbie Maddison's 2008 New Year's Eve jump Arc de Triomphe at the Paris Las Vegas

Picture 2

 

Moto-X Ramp Jump Maths

The Problem? 

If the ramp angle is too high, the stunt jumper also goes high, but doesn’t travel very far.

If the ramp angle is too low, the stunt jumper doesn’t stay in the air for very long and therefore doesn’t travel far. (see below0

The stunt jumper wants the OPTIMUM RAMP ANGLE.

6 motorbike -parabola Mr Reid

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METHOD 1: TRIGONOMETRY (cos we can)

7 bike jump 1 Method 1

 

Picture 2

Picture 2

As any bike nut knows increasing speed at ake off will increase jump distance.

Here is a graph from final gear for speed vs angle to jump 90m.

Picture 2

OPTIMISING RAMP ANGLE

12 optimising ramp angle

Picture 2

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METHOD 2: MORE TRIGONOMETRY 


13bike jump Method 2

METHOD 1 is approximate (See STEP 1 & STEP 2 above), but as METHOD 2 produces the same ans (See above), it is very useful.

You will find a thoroughly detailed calc for STUNT JUMP MATHS here:

And everything you ever wanted to know about PHYSICS OF STUNT JUMPS here. 

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FOOTBALL MATHS: THE LONGEST KICK

June 3, 2016

Mathspig Football Maths 1

Mathspig football Maths 1a

Mathspig Football Maths 2aMathspig Football Maths 3Mathspig Football Maths 4

………………………………………………

The following maths is suitable for Year 9+

but can be presented to lower grades just to show

maths is cool!

Mathspig Football Maths 5Mathspig Football Maths 6bMathspig Football Maths 7

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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

May 21, 2015

Mathspig Hairy

Hellooooo My Little Hairy Creatures,

This week we have hairy maths coming out our ears, my friends. Not only will you find some  interesting hairy facts and figures below, you will find plenty of hairy math activities for hair crazy middle school students:

Hair Maths 1: The curly problem with curly hair

Hair Maths 2: Why CGI needs maths

Hair Maths 3: How OLD is your hair?

Hair Maths 4: The Great SHAMPOO rip off

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GROW IT! MOW IT! BRAVE IT! SHAVE IT!

Mathspig hair maths punishment

Mathspig has always had a THING about hair maths. And here are some funny, outrageous and challenging maths problems involving hair:

Eurovision Hair Math: When will Jedward’s hair be as tall as Jedward?

 Really Weird Geometric hair

How weird are maths teachers haircuts?

Mass Murderer or Maths teacher?

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HOW MANY BAD HAIR DAYS in your life?

According to The Manchester Confidential a consumer survey found that the average British female will endure 7,332 bad hair days in a lifetime!!!!

How many years is that? Do the maths.

7,332/365 = 20.09 years 

0.09 x 365 = 32.85 = 33 days

O MY GOODNESS, 20 years and 33 days of BAD HAIR. 

Makes you wanna go back to bed or shave your head.

Hoo Roo

Mathspig

 

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Hair Maths 1: The curly problem with curly hair

May 6, 2015

pic 0 mathspig hair maths 2

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pic 1 Mathspig the curly Q

More about Troy’s $million hair here. Hair statistics including how many hairs a human has on their head here.

Mathspig studied hair chemistry at uni. Tricky stuff. Put simply, hair is made of long strands of protein called keratin held together by sulphur (and some hydrogen) bonds. To curl hair, the keratin strands in the outer curve of each hair has to be stretched with curling tongs or hair curlers, heated and dried. The bonds in each hair reform with one side longer than the other … Hence, the hair curls like gift-wrap ribbon. But high humidity allows hair to reabsorb water and straightened hair just goes psycho curly again!

pic 2 mathspig Hair PermThis excellent hair diagram comes from The Chemistry of Shampoo and Conditioner, in an article by EMMA Dux for the Royal Australian Chemical Institute

Some people are born with hair follicles that produce keratin at different rates across the follicle. They have curly hair. Hair perms chemically break and reform the sulphur bonds while the hair is held in small curlers (curly hair) or a very big curlers(relatively straight hair.) thus permanently curling the hair.

Here’s the Maths:

Curly hair looks like a 3D Helix.

pic 3 Helix Graph and Equation MathspigMore on 3D helix maths here

But, in fact, one strand of curled hair looks more like a spiral staircase.

The outer edge of the staircase is longer than the inner edge.

pic 5 HELIX spiral staircase

 pic 6 formula for curly hair

 More helix maths here.

CHALLENGE:

Mathspig doesn’t expect Middle School students to plot a 3D Helix. But if they have started TRIGONOMETRY then they can see that the maths they are studying is used in CGIs for films and computer games in this case to generate realistic curly hair!!!! That’s cool. This maths was needed to model Merida’s curly hair in  BRAVE.

pic 7 Merida's Curly hair

SMARTY PANTS CHALLENGE:

Some middle school students could calculate some points on the helix.

Now students must be introduced to radians.

Simple EXPLANATION: Angles eg. 300 are not useful in calculations but fractions are very useful.

Eg. The circumference of a circle:

C = 2πr

Now imagine if you scan with a floodlight set at a radius of 1 km. So:

C = 2π

So the circumference is 2π.

You scan ¼ of a circle, the distance the light moves is ¼(2π)

or ½ π or 1.57 km (see below)

This measurement of an angle is in RADIANS.

00     = 0 circle = 0

450   = 1/8 circle = 2π/ 8 = 2 (3.14) /8 = 0. 79

900   = 1/4 circle = ½ π = ½ (3.14) = 1.57

1350   = 3/8 circle = ¾ π = ¾ (3.14) = 2.36

1800= 1/2 circle = π = 3.14

2250   = 5/8 circle = 5/4 π = 5/4(3.14) = 3.93

2700 = 3/4 circle = 3/2 π = 4.71

3150   = 7/8 circle = 7/4 π = 7/4 (3.14) = 5.50

3600 = 1 circle = 2π = 6.28

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You will find Cos  tables at NASA Sine tables at Mathhelp

 Mathspig 3D helix table

Answer here: Answers- 3D Helix Table

 Advanced students may want to look at what the Uber Geek 3D Helix generating program at the free graph website PLOTLY here.

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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

January 29, 2015

Mathspig Tennis Pro

Hellooooooooo Darlings,

Mathspig is going to the Aussie Open Tennis Semi-finals tonight.

Some quick maths.

Men’s and Women’s Singles Prize Money;

Win; $3,100,000 

Runner UP: $1,550,00

It cost me … ARGGHHHH! … $Aus250 a ticket. If they play for the average game time of a Grand Slam match of 1 1/2 hrs it will costing me $2.78 a minute or 1 1/2 cappuccinos a minute. 

If the game goes for 3 hrs (more common in finals) it will be costing me $1.39 a minute, but the winner gets $650,000 for playing in a semi-final and that means they earn – for 3 hrs – $7,222 a minute. Now that is a lot of cappuccinos. 

Of course, tennis stars need maths … to count all that loot!!!!!!!

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kissy kissy

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Mathspig

 

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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

August 19, 2014

Mathspig sidecar 2

Hellooooooooo Darling,

So who will be my stunt double when they make the film of my exciting maths life. I’m thinking

Miss piggy.

.

.

…Miss Piggy

………………………………………………………………………………..

babe.

.

.

.

…Babe

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While I’m deciding you might enjoy some Stuntman Maths as well as Stuntwoman Maths and Stunt pig Maths:

1. STUNTMAN MATHS: Car Stunts

2. STUNTMAN MATHS: Jumping off a Building

3. STUNTMAN MATHS: Motorbike Jump

And if you are a film buff you should check out my 10 Movie Cliches Debunked with Maths posts:

1.You can duck bullets.

 

2.You can out run a fireball.

 

3. You can out run machine gun fire

 

4. If you are involved in a car chase, hijacking, explosion, volcanic eruption or alien invasion, you will not go into shock.

 

5. You can jump out of an airplane that is about to crash and catch the baddie who took the last parachute.

 

6. If the pilot dies the control tower can talk you down.

 

7. You can safely jump from a burning skyscraper/bridge/aircraft into water.

 

8. You can survive any amount of beating in a fight.

 

9. A single match or candle will light a room the size of a football stadium.

 

10 You can out run a lava flow

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Mauw Mauw

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Mathspig

 

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Outdoor Maths Adventures: Middle School

June 30, 2014

 

 

Outdoor maths middle school 1 mathspig

Lego Man soccer fields will vary in size depending on the height of each player picked by each student. This does your head in. It is really challenging maths!

 

Outdoor Maths Middle School 2 Mathspig

McGill Uni link here.

Outdoor Maths MIddle School 3 Mathspig

Don’t forget to throw in Mathspig’s lame protractor jokes.

Outdoor Maths Middle School 4 mathspig

You’ll find full calculations at the Maths is Fun blog.

Outdoor Maths Middle School 5 Mathspig

You’ll find more fab outdoor junior and middle school maths activities at the terrific Maths and Movement blog.

Outdoor Maths Middle school 6 Mathspig

Some students will discover their co-ordinate point is not on the grid. Students should then work out that they will need a different scale for the y-axis. You can get more inspiration at the Stand Again blog.