0:00:00.966,0:00:07.366
(Machine translation by DeepL translate)I wonder what the limit is for the number of push-ups.

0:00:08.500,0:00:18.100
The maximum number of push-ups per time seems to be determined by physical conditions, not muscle strength.

0:00:18.100,0:00:23.966
First of all, let's think about the shortest time you can take to lower your body.

0:00:24.826,0:00:31.159
When you lower your body, you can't pull the ground.

0:00:32.166,0:00:37.433
The shortest time is when you don't use your hands and let gravity do the work.

0:00:38.333,0:00:44.000
No matter how hard you work out, you will never be able to lower your body faster than this.

0:00:51.533,0:00:57.033
If we assume that the body is upright and model it on a board

0:00:58.066,0:01:05.966
The time to reach the ground (independent of mass) can be written as

0:01:07.066,0:01:18.827
If you are 170cm tall and θ0=15°, you will hit the ground in 0.25 seconds

0:01:18.827,0:01:25.600
If the height is different

0:01:25.600,0:01:33.733
Even if the initial angle is the same, the time will change a little.

0:01:34.433,0:01:39.766
This is the minimum time for lowering the body in a push-up

0:01:41.100,0:01:47.066
Next, the minimum time for lifting up the body

0:01:47.566,0:01:52.300
As soon as the body is lowered, push off the ground.

0:01:52.300,0:01:57.566
You want to lift your body as fast as possible.

0:01:58.666,0:02:05.000
But since your hands are not fixed to the ground

0:02:05.000,0:02:15.433
If you lift too fast, your body will float and you will lose time.

0:02:15.433,0:02:22.166
So I want to lift my body as fast as possible without floating.

0:02:22.166,0:02:27.400
Think of a board that bounces a lot.

0:02:29.600,0:02:34.333
The time it takes to return to the initial height where your arms are fully extended

0:02:35.066,0:02:40.366
The time it takes for the arm to return to the initial height where it is extended is equal to the time it takes for the arm to fall under gravity.

0:02:41.694,0:02:53.600
The minimum time required for one push-up can be approximated as follows

0:02:53.600,0:03:02.833
Now we know the maximum number of pushups we can do in one second.

0:03:05.933,0:03:13.833
If you are stretched out, and your height and arm length are not too extreme, the upper limit will be around 2 times per second.

0:03:14.533,0:03:18.366
The limit depends on gravity, so let's change the location.

0:03:21.600,0:03:25.866
The moon has 1/6 the gravity of the earth.

0:03:27.100,0:03:35.800
You can't do push-ups at the fastest pace on Earth because the time needed per push-up is longer.

0:03:37.733,0:03:48.666
The upper limit is about 0.8 times per second.

0:03:48.666,0:03:52.166
Let's go to a planet where the gravity is 10 times that of the earth.

0:03:58.466,0:04:06.333
Whether you can do it or not, the upper limit on this planet is more than 6 times per second.

0:04:08.740,0:04:16.066
This is how gravity changes the upper limit.

0:04:16.066,0:04:18.456
Earth again

0:04:18.456,0:04:24.900
We now know the theoretical upper limit of push-ups. But when I did a search for "high speed push-ups," I found

0:04:26.500,0:04:33.266
I found someone who can do 34 in 10 seconds!

0:04:34.966,0:04:40.866
So far, he should only be able to do about 20 in 10 seconds.

0:04:42.164,0:04:50.397
But all the "people competing for the most times" don't have their bodies in a straight line!

0:04:51.633,0:04:59.866
It seems that this is how they manage to avoid the limits of the plate model!

0:05:01.066,0:05:09.800
As long as you are chasing the number of times, it is physically inevitable that you will end up in a strange posture

0:05:09.800,0:05:13.633
That's what I thought.

0:05:15.600,0:05:21.966
The end