16/01/2024, Tuesday, 20:47

Converting the 40cm/s of linear speed with the 1/10 mechanical disadvantage of the human body in a forearm with 30cm of length, the rpm of the arm would reach 250 RPM, or 4 meters per second of linear speed (I heard that a punch can reach 45 km per hour of linear speed).

Now, if we input these numbers in an mech arm with 60 cm of length (since the entire mech is twice the size of an average human), and we maintain the linear speed of 4 meters per second, which would give 130 rpm, we would need 6000 newton-meters to lift 1000kg.
By the way, it doesn't matter if the load is put in a difference distance, if it is going to lift 1000kg on the tip of 60cm, the lever arm length won't change the final wattage, no matter how you tweak the rpm and torque, you can't scape the laws of physics.

And, if you input the numbers in a torque to horsepower calculator, it gives you 81,686 watts, or 109 horsepower.

If we take the more "whatever" approach and simply say that the arm and shoulder are the same, the torso uses the same amount of energy and the legs use 3 times more, it would still give 545 horsepower, or 408,750 watts.

This is basically half a megawatt.

If we take a somewhat precise approach and simply multiply the other limbs force requirement by 3, the numbers go bonkers.

109 hp to the forearm + (109x3) to the shoulder, ((109x3)x3) to the torso, (((109x3)x3)x3) to the legs, which would give: 

4360 horsepower or 3,270,000 watts of power.

You would need 3 megawatts of power to a simple mech that moves at same speed as a human being.

It is not "super speed", just "super strength", you would still run miserable 10 km/h with the mech (average human running speed), maybe 20km/h due to the double size of the limbs (a mech even slower than this could be viable, but what would be the point?)

And a exosuit with 100kg of lifting capacity would use 145 horsepower/109,000 watts, not much lower than the mech (a exosuit even slower than this could be viable, but what would be the point?²).

Plus, I'm calculating only a 100% efficient machine, which is not possible. With inneficiencies, the energy consumption would increase even more.

In any manner:

In the end, it is indeed it is 81.6 watts per kilogram of weight at 4 meters per second of speed. A simply legged exosuit would consume around 8 kilowatts/10 horsepower for every 100kg of weight being lifted at 8 meters per second, half at 4 meters per second.. Not great, not bad, I'd rather say.

(by the way, the lightest mech in Armored Core's weight around 35 tons)

But, as a consolation prize, maybe walkers will be viable, since they don't need to carry the extra weight the arms and torso would need to carry. xD

Maybe some day I actually try to make a walker-forklift hybrid, but who knows...

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Oh, by the way², you would spend 35 to 40 horsepower for every 100 kilograms if you were using drone motors to lift your body weight, so you could jump around like you are in zero gravity (or with super human strength, lol).

This would make 260 watts per kilogram, but you would need 4 times more power to to make things move 4 meters a second. Dunno if it would make sense to insert a lot of propellers in a humanoid mech.

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Well, one thing I noticed: the Boston Dynamics robot Atlas consumes around 3000 watts-hour during exercises.

Since the robot carries a 3000 watt-hour battery and can only do it for 1 hour, then I'm assuming it uses around 3000 watts per hour. It can move at around 2.5 meters per second and carry maximum 14 kg of load while the robot itself can weight around 90kg to 195kg.

It is hard to find a definitive answer, I can only find scattered information through news articles about the subject. The website from boston dynamics also doesn't give clear information on the subject either.

https://bostondynamics.com/atlas/

On top of that, there are other versions of Atlas, some weight almost 200kg, the shorty white one weights around 90kg.

In either case, I do think it to be strange for this robot to be able to only consume 3000 watts while carrying weight and it might indicate that in fact I'm calculating something wrong.

But taking the 81.686 watts I calculated before and take the force and speed out of it, it makes a little more sense. The robot carries 10 times less weight and at 1.6 less speed, so in total it would be 5105 watts or 6.8 horsepower.

However, the robot is said to only consume 3000 watts or 4 horsepower without the stewart platform skeleton where the load is proportionally divided by all joints.

Of course, there can be a lot of information that is not specified, including the way the robot moves, the way it distribute its loads and so on.
Not to mention that the marketing department simply took approximated values and putted them into the website.
After all, a stepper motor may have a rated speed and torque, but its actual capabilities can only be shown into a graph.

But... I think it is realistic to assume that the estimate I've made is correct.

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