Christopher Arellano, from Brown University, US selected eight men and five women who were all committed runners.
Arellano asked them to run normally on a treadmill for 7 minutes as he measured their oxygen consumption rates and the amount of carbon dioxide that they exhaled.
Then he asked them to run without swinging their arms by holding the arms loosely behind the back, crossing the arms across the chest, and holding the hands on the top of the head.
Having measured the athletes' oxygen consumption rates and carbon dioxide production, Arellano then calculated the metabolic rates of each runner when they were swinging the arms and holding them in all three positions.
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Comparing the four metabolic rates for each individual, researchers could see that swinging the arms reduced the runners' energy costs by 3 per cent relative to when they held their arms behind their backs.
The study was published in the journal of Experimental Biology.