Following the Tour de France

On Your Mark...  

route Each year, about 200 cyclists battle for dominance in the Tour de France, one of the most grueling athletic tests in the world.

First held in 1903, this three-week bike race covers 2,178 miles and winds through much of the French countryside, including the treacherous mountain roads in the Pyrenees and the Alps.

The race consists of 21 daily legs called "stages," which range from 10.3 miles to 157 miles each. At the end of each stage, the overall standings of the racers are calculated. The person with the least amount of accumulated road time gets to wear the famous yellow jersey or malloit jaune the following day. The Tour de France ends in Paris, with the title going to the rider with the lowest overall time.

This year, the title went for the third consecutive year to defending champion Lance Armstrong of the U.S. Postal Service Team. Armstrong finished the race with a recordbreaking total time of 86 hours, 17 minutes, 28 seconds. His average speed throughout the race was 24.9 mph. It seems hard to believe that this elite athlete struggled with advanced cancer just a few years ago.

The chart below shows how long it took certain racers to complete various legs of the 2000 Tour de France.

  • From a quick look at the numbers below, can you estimate which rider was traveling the fastest? The slowest?

  • Now calculate how fast the riders were going for each leg.

Stage

Stage Distance

Racer

Time
Miles Per Hour

2

120 miles

Belgium's Tom Steels

4 hours, 46 minutes, 8 seconds

 

8

126 miles

Holland's Erik Dekker

4 hours, 22 minutes, 14 seconds

 

10

127 miles

Spain's Javier Otxoa

6 hours, 9 minutes, 32 seconds

 
route
In Training  

How the racers train — from what they eat to what they ride — can determine where they finish. What does Lance Armstrong eat for breakfast during the Tour de France?

According to an article in USA Today, Armstrong enjoys a couple of cups of coffee with bread. He then eats "a small bowl of Wheaties, then pasta and omelets, which he likes to 'smush together.' Then more bread, this time with honey, jam or almond butter." Talk about a breakfast of champions!

Eating well is just one part of Armstrong's overall training regime. He trains from two to eight hours every day to raise his aerobic threshold. His exercise plan mixes on-the-road riding with gym work to strengthen his legs, lower back, and abdominals.

Armstrong also has an on-bike computer that can record his heart rate and power output — information that can be downloaded and e-mailed to his coach, Chris Carmichael, who displays the information on his own computer.

What NOT to Eat!

Here's a true story about a different sort of cycling fan. In 1977, Monsieur Lotito of France ate a bicycle in 15 days in the form of tires and metal filings.

  • At this rate, how many bikes could he eat in a year?

  • If the bike Monsieur Lotito ate was a Cannondale Caad4 (see chart below), what was the price per pound for his meal?

The Price of Performance  

bikeBicycles have come a long way since the early 1800s, when they were invented. The very first bike was propelled by the rider's feet instead of pedals. The rider simply straddled the frame and pushed off with his feet, rolling along in a sort of gliding walk.

Those early wooden frames have long since given way to lightweight materials such as carbon fiber and metals such as aluminum and titanium. These special materials make the frames extremely strong and light. They are also very expensive. The table below shows the cost and weight of different bike models. Complete the table to show the price per pound for each.

bike

Bike

Price

Weight

Price Per Pound

Pinarello Prince

$4,995

17.5 lbs.

 

Colnago C-40

$3,800

17.9 lbs.

 

Cannondale Caad4

$4,329

21.5 lbs.

 

Klein Quantum

$1,789

18.8 lbs.

 

Kestrel 200sci

$2,650

18.6 lbs.

 


 

Learn More

There are numerous science and mathematical principles at work in the sport of bicycling. Explore these concepts in the following Middle School Gateways activities. (Requires Logal Express. Get a free trial subscription.):

Explore the mathematical concepts in the Tangible Math activity, Two Objects Starting at Different Initial Positions.


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