aerospace nerd wrote:
I wondered about this a while back so me and my friends got some beers and did some calculations.
Air resistance causes approx 3% decrease in pace at 3min/km pace (no wind). That is 54 seconds on a 10k, not such a small difference. And the force induced by wind resistance increases quadratically, so if you have a wind 1x your pace in your face (V = 2x pace) you get 4x the resistance vs no wind, and arguably you get some wind at some point during every run.
Then there are some small differences in the forces at play when your foot strikes a treadmill vs the ground.
1. The treadmill has the capacity to do work on your foot. Think about a bounding heel striker here. When his foot strikes the treadmill it slightly decelerates the band and the motor reacts by upping the torque. We measured this current increase with a ammeter and it is not small, and for our biggest heal-striking dude the motor did a lot of extra work.
2. The key that we can take from (1) is that there is a deceleration occurring in the band. In the extreme case think of a treadmill with a very weak motor that stopped the instant your foot hit the band and continued at 3min/km pace while you were in the air. You can't really claim that you are running 3min/km pace. The reality is much more mild but small decelerations summed over a long run add up.
So of course we wanted to know, how much can you really cheat on a treadmill? Well, we got our beefcake heal striker to take advantage of the treadmill, and oh did he. We got him running 3min/km (max on this treadmill), the poor motor whining in pain every time his treetrunk of a leg slammed the belt. For me, at 140lbs, I felt like I could cheat a little bit (at the expense of my knees) but at 3min/km I still felt/looked like I was running hard.
So it would be neat to set up some sensors and actually measure this stuff, but why. I asked some elite marathoners about this and a few said running on a treadmill with a 1-2% incline roughly matches the effort of running outdoors, but they are still very different things.