## Posts Tagged ‘trigonometry’

## MATH JOKE 6: The trigonometry of a fake tan

February 7, 2019## 3. Movie Stunt MATH: The Motorbike Jump

October 23, 2018# Star Stuntman

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.”

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.

His injuries are legendary:

More Evel Knievel

# Ramp Design

The angle of the kicker in ramp design can vary from 10^{0} – 70^{0} (See below)

# 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.

**……………………………………………………………………………**

## METHOD 1: TRIGONOMETRY (cos we can)

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.

## OPTIMISING RAMP ANGLE

**……………………………………………………………………………….**

# METHOD 2: MORE TRIGONOMETRY

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.

## FOOTBALL MATHS: THE LONGEST KICK

June 3, 2016………………………………………………

**The following maths is suitable for Year 9+**

**but can be presented to lower grades just to show**

**maths is cool!**

## 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**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**

# …………………………………………

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

**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?**

# …………………………………………

**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**

## Hair Maths 1: The curly problem with curly hair

May 6, 2015…………………………………………………………………………

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!

This 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.

More 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.

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.

# 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. 30^{0} are not useful in calculations but fractions are very useful.

Eg. The circumference of a circle:

**C = 2****πr**

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.

**0 ^{0 }= 0 circle **

**=**

**0**

**45 ^{0} = 1/8 circle = 2**

**π/ 8 = 2 (3.14) /8 =**

**0. 79**

**90 ^{0} = 1/4 circle = ½ **

**π**

**=**

**½ (3.14) =**

**1.57**

**135 ^{0} = 3/8 circle = ¾ **

**π**

**= ¾ (3.14) =**

**2.36**

**180 ^{0}= 1/2 circle = **

**π =**

**3.14**

**225 ^{0} = 5/8 circle = 5/4 **

**π**

**= 5/4(3.14) =**

**3.93**

**270 ^{0 }= 3/4 circle = 3/2 **

**π =**

**4.71**

**315 ^{0} = 7/8 circle = 7/4 **

**π = 7/4 (3.14)**

**= 5.50**

**360 ^{0 }= 1 circle = 2**

**π =**

**6.28**

…………………………………………………..

You will find Cos tables at NASA Sine tables at Mathhelp

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.

## 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#### 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!!!!!!!**

#### …………………………………………………….

## kissy kissy

………………………………………………………….

## Mathspig

## 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#### Hellooooooooo Darling,

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

#### .

.

.

#### …Miss Piggy

………………………………………………………………………………..

#### .

#### .

#### .

#### .

#### …Babe

………………………………………………

#### 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.**