Archive for September, 2011

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How fast are Our Olympic Athletes?

September 30, 2011

First we have to calculate the speed or velocity of an athlete.

Event distances are recorded in m (The Olympic Games uses the Metric system) and time in minutes, seconds and 1/100ths of a second except cycling where 1/1000ths of a second are recorded.

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Here is Usain Bolt creating a New World Record for 100m in Berlin 2009. You may as well watch. It will take less than 10 secs.


We are going to use current Olympic Records to calculate the average speed of Usain Bolt, the fastest man on earth:

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But we are more familiar with km per hr (kph) so we will convert from m/sec to kph:

Some in the world use mile per hr (mph) so one more conversion:

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Maths Exercise:

Here are some current Olympic Records, which students can use to calculate average speeds in m/sec then convert these speeds to kph (See chart in the following post for answers);

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1. 100m M Sprint 9.69 sec Usain Bolt Jamaica

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2. 100m W Sprint  10.62 sec Florence Giffith-Joyner  USA

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3.  100m M Freestyle    47.05 sec   Eamon Sullivan Australia

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4. 100m W Freestyle  53.12 sec   Britta Steffen Germany

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5. 1500m  M Freestyle   14.38.92 mins Grant Hackett Australia

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6. 200m  M Butterfly   1.52.03 mins   Michael Phelps   USA

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7. 200m  W Butterfly    2.04.18  mins    Lui Zige  China

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8. 1,500m M Track   3.32.07  mins     Noah Ngeny  Kenya

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9. 1,500m W Track  3.53.96 mins   Paula Ivan  Romania

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10. Marathon 42.195 km   M    2.06.32 hrs   Samuel Wanjiru    Kenya

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11. Marathon  42.195 km  W  2.23.14 hrs    Naoko  Takahashi   Japan

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12. Cycling M 200m Sprint   9.815 secs   Chris Hoy  UK

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13. Cycling  W 200m Sprint  10.963 secs  Victoria Pendleton UK

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14. Rowing M 8+   2000m  5.19.85 mins   USA

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15. Rowing  W 8+  2000m   5.55.50 mins   USA

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16. Cycling M 1km Time Trial  1.00.711 mins  Chris Hoy   UK

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17. Cycling W 500m Time Trail 33.952 secs Anna Meares Australia

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………………………………………………………………..

You will find more Olympic records at these links: track, cycling and swimming:

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How fast are Olymic athletes compared with animals?

The top speed of humans was clocked at 43.56 km/h (27.1 mph) by Olympic sprinters Michael Johnson and Donovan Bailey during their Olympic competitions. This top speed only lasts for very short bursts. More info at this link.

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I’m sure Usain Bolt would achieve an even higher burst of speed if being chased by a cheetah. And, of course, cyclists can go much, much faster down hill.

So lets see how our 15 athletes above would rank on the animal speed chart. Go to the next post. Woo HOo! It’s the Zebra Olympics.

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Woo! Hoo! It’s the Animal Olympics

September 30, 2011

Would a Cheetah beat an Olympic Cyclist?

Let’s find out …

The following table logs the fastest times recorded for various animals.

It’s like The Guinness Book of Records for Rats and other critters. Falcons do not fly at 350km/h at all times terrifying tourists. Nor does Usain Bolt race down the 3rd aisle at the supermarket in a few seconds.

This table compares the average speed of humans with the top speeds of animals. More info @ mistupid.

Animal  

MPH   

km/h   

Peregrine falcon

217

349.24

Swift

98

157.72

Cheetah

70

112.66

Pronghorn antelope

61

98.17

Wildebeest

50

80.47

Lion

50

80.47

Thompson’s gazelle

50

80.47

Quarterhorse

47.5

76.45

12. Cycling M 200m Sprint  Chris Hoy  UK   73.43 km/h

Elk

45

72.42

Cape hunting dog

45

72.42

Coyote

43

69.2

Gray fox

42

67.6

13. Cycling  W 200m Sprint V. Pendleton UK  65.67 km/h

Hyena

40

64.38

Zebra

40

64.38

Mongolian wild ass

40

64.38

Greyhound

39.35

63.33

16. Cycling M 1km Chris Hoy   UK  59.30km/h

Whippet

35.5

57.13

Rabbit (domestic)

35

56.33

Mule deer

35

56.33

Jackal

35

56.33

17. Cycling W 500m Anna Meares Aust  53.02 km/h

Reindeer

32

51.5

Giraffe

32

51.5

White-tailed deer

30

48.28

Wart hog

30

48.2

Grizzly bear

30

48.28

Cat (domestic)

30

48.28

Elephant

25

40.24

1. 100m M Sprint Usain Bolt Jamaica      37.15 km/h

2. 100m W Sprint  F. Giffith-Joyner  USA  33.91 km/h

Black mamba snake

20

32.19

Race runner (lizard)

18

28.97

8. 1,500m M Track   Noah Ngeny  Kenya  25.45 km/h

Wild turkey

15

24.14

14. Rowing M 8+   2000m  USA    22.50 km/h

9. 1,500m W Track  Paula Ivan  Romania  22.21 km/h

15. Rowing  W 8+  2000m   USA  20.27 km/h

10. Marathon M    Samuel Wanjiru    Kenya  20.02 km/h

Squirrel

12

19.31

Pig (domestic)

11

17.7

11. Marathon  W  Naoko  Takahashi   Japan 17.68 km/h

Chicken

9

14.48

3.  100m M Freestyle    Eamon Sullivan Australia 7.67 km/h

4. 100m W Freestyle  Britta Steffen Germany  6.77 km/h

6. 200m  M Butterfly   Michael Phelps   USA  6.44 km/h

5. 1500m  M Freestyle   Grant Hackett Aust  6.16  km/h

7. 200m  W Butterfly    Lui Zige  China    5.80  km/h

Spider (Tegenaria atrica)

1.17

1.88

Giant tortoise

0.17

0.27

Three-toed sloth

0.15

0.24

Garden snail

0.03

0.05

Now Mathpigs,

                              …………………………………………..

even though a chicken can move faster than, say, Grant Hackett swimming, it must be said that a chicken could not keep up that speed for 1500m!!! …………………

…..  And, even though a squirrel can run faster than Naoko Takahashi, I don’t think it could keep running for 42plus km!!

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Maths Girls A Go Go

September 8, 2011

Ellie Kuprik, in The Huffington Post, reported on 31 Aug 2011 that JCPenney, a mid-range clothes store with over 1,100 shops in malls across America, was stocking the following t-shirt for girls aged 7 – 16 years.

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Having fun with the ‘Yeah! Girls are Dumb’ theme,  the Huffington Post suggested other possible t-shirts to be stocked by JCPenney.

Such pressure works. According to Huffington Post article the t-shirt has been pulled.

But where are the positive T-shirts about maths for girls. Here are a few, which are both playful and mathsy:

@ cafepress

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@ printfection

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@ scienceteecher

@teenormous

@ extrafancyparts

@ geekgirlsgifts

@ shirtshovel


Mathspig’s fav t-shirt

@ cafepress

Mathspig thinks all maths classes should design their own FUNNY maths t-shirt.

GO Maths Girls GO

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Maths Girls a Go Go II

September 8, 2011

Vi Hart ( pic below) calls herself a mathemusician. She graduated  with a degree in music from Stony Brook University, NY, two year ago, but has always maintained an interest in maths. Last November she posted Doodling in Maths Class on You Tube, which as the New York Times explained ‘ married a distaste for the way math is taught in school with an exuberant exploration of math as art’. It went viral. Her youtube videos have collected over 1 million hits already.

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The question for maths teachers is this:

Why didn’t Vi study MATHS at uni when she:

* is smart

* loves maths

* is mathematically creative

Was she booooooooored by high school maths?

Vi’s videos should be a must see for all maths teachers. They are fun and they encourage girls to take on the maths challenge.

Vi Hart: Infinity Elephants

Fun Jnr Maths Exercise in Fractals

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Vi Hart: Binary Trees

Fun Introduction to Exponential Functions

You will find more videos @ Vi Hart Website.

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