The Physics of Pole Vaulting

To the observer, pole vaulting may seem fairly simple.

The athlete runs with a pole in hand, plants it in the ground and leaps over another pole.

But to a physicist, much more is at play. Consider this perspective:

As Sydney Olympics gold medal contender Stacy Dragila prepares to jump, she has chemical potential energy stored from the food she has eaten. She then runs down the path, converting her chemical potential energy into speed — or kinetic energy. Once she plants the pole, it begins to bend, slowing down Dragila’s kinetic energy and transferring it to elastic potential energy in the pole.

As the pole lifts her upward, it returns the potential energy to Dragila in the form of gravitational potential energy. By the time she clears the bar, Dragila has just enough kinetic energy remaining to carry her past the bar. On her way down, the gravitational potential energy becomes kinetic again and is finally absorbed by the mat she hopefully lands on.

Got that?

Even Dragila tends to shrug off all the science of her sport.

The 29-year-old American who currently holds the record for women’s pole vaulting at 15 feet, 2 1/4 inches“ confesses, “Numbers don’t do anything for me. I’m thinking more about form.”

Predictions of Physics

But the numbers do matter to Dave Neilson, Dragila’s coach. He figures if science is what makes pole-vaulting work, then science can also help Dragila vault higher. And according to recent calculations by a couple of scientists, Dragila can vault higher — more than two feet higher — according to one physicist.

“Pole vaulting is almost strictly a matter of energy,” says Peter Watson, the dean of science at Carleton University in Ottawa, Canada. “So the limit is designated by how fast you can run carrying a pole.”

Calculations also show that men are reaching their height limit while women, who are relatively new to the sport, have a way to go.

Speed accounts for at least two-thirds of the height an experienced pole-vaulter clears. So calculating that pole vaulters, who must run with the pole in their hands, run slightly slower than the world’s fastest sprinters, Watson figures men should be able to clear 19.8 feet. That height happens to be short of the current world record, 20 feet, 1 3/4 inches, held by the Ukraine’s Sergey Bubka. But Watson figures even Bubka won’t be able to improve his record by much.

“Unless they run a lot faster, men cannot increase the height very much from there,” says Watson.

Meanwhile, Cliff Frohlich, a physicist at the Institute of Geophysics within the University of Texas, has taken Dragila’s sprinting times and calculated how high she should be able to vault, based on the men’s records. His estimate? Just higher than 17 1/2 feet.

Dragila is shooting for something a little less ambitious.

“I’m looking to break 16 feet,” she says. “I’ve come close in a couple competitions. I just have to put it all together in one jump.”

Not an Exact Science

As Dragila’s coach, Neilson, points out, converting the kinetic energy of the sprint into potential gravitational energy in the vault is difficult to execute without losing at least a little bit of energy in the process.

“There are a lot of very fast people who can’t vault very high,” says Peter McGinnis, a biomechanic at State University of New York in Cortland who advises the U.S. Pole Vaulting team.

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