## Math in the Eiffel Tower

There is a ton of math relating to the Eiffel Tower! I can't fit it all on one page, so I chose a few facts about the making of the Eiffel Tower, and the basic math facts about it.

Let a be a point on the edge of the tower. Let x be the distance between the top of the tower and a. Let

P(x) be the weight of the part of the tower above a, up to the top of the tower.

Let f(x) be the half width of the tower at a. the moment of the weight of the tower relative to point a is equal to p(x) and f(x). You would have to fill in the variables.

The Eiffel Tower has millions of visitors every year. That means billions of vistors every few years. Wondered how many visitors come every month? The average for the year 2000 was around 6 million. So, to calculate how many visited in 2000, divide 6 million by 12 (12 months). That should be 359,090. Hundreds of thousands of visitors every month!

**The height of the Eiffel Tower is around 985 feet. The first platform's height is 189 feet off the ground, the second's is 380 feet off the ground, and the third platform is 906 feet above ground with the top of the tower reaching 985 feet. It weighs in around 7,000-10,000 tons, depending on weather it is summer or winter. In the summer the poles expand, causing more weight to be added. It shrinks 6 inches during the winter, and expands 5.35 inches during the summer. Its cost is more that 240 million dollars. It has 2,500,000 rivets in it, and has 1710 steps.**__BASIC EIFFEL TOWER MATH FACTS__

**When Gustave Eiffel was making the Eiffel Tower, he had to think about wind resistance. He put put a curve on the outer edges so the tower wouldn't fall. He used the following eguation:**__MATH IN MAKING THE EIFFEL TOWER__

Let a be a point on the edge of the tower. Let x be the distance between the top of the tower and a. Let

P(x) be the weight of the part of the tower above a, up to the top of the tower.

Let f(x) be the half width of the tower at a. the moment of the weight of the tower relative to point a is equal to p(x) and f(x). You would have to fill in the variables.

__CALCULATING VISITORS__The Eiffel Tower has millions of visitors every year. That means billions of vistors every few years. Wondered how many visitors come every month? The average for the year 2000 was around 6 million. So, to calculate how many visited in 2000, divide 6 million by 12 (12 months). That should be 359,090. Hundreds of thousands of visitors every month!