One of our biggest problems we face when travelling in space, is the atrophy our bodies endure
while in microgravity. The astronauts on the international space station have to exercise
several times a day to maintain their bone and muscle strength. But is there an alternative?
Can we create Artificial Gravity? I’m sure you have seen the idea before in
movies like 2001: A Space Odyssey where the entire space station spins to create an artificial
gravity. The people inside can now walk comfortably just like just on earth. It does this by exploiting
centrifugal force. Now it seems that whenever someone mentions
centrifugal force, angry mobs will show up in the comment section. Declaring it isn’t
real. Which just isn’t the case. Let’s see why
NASA developed this huge centrifuge to test the possibility of simulated gravity back
in the 1960s. Here we are looking from inertial frame of reference, that just means we are
looking from outside perspective and we can clearly see that there is no force pulling
this guy outwards. It is just his inertia carrying him forward, and the floor he is
walking on provides the centripetal force to prevent him from flying off.
But what happens if our reference frame moves with the astronaut. This is called a rotating
reference frame, or a non-inertial reference frame. To him, the rest of the world is moving,
and he is standing stationary. In this reference frame centrifugal force is absolutely a real
and measurable force, pushing him downwards just like gravity. The only thing that is
fictitious is his perception of what is causing it.
This occurs because in physics and engineering, we must balance forces. The system has to
be in equilibrium. Newton’s third law states for every action there is an equal and opposite
reaction. So if centripetal force exists in this reference
frame there has to be a force pushing him outwards. That is centrifugal force. And the
moment the rotation stops it vanishes again. So if this works so well, why haven’t we
seen a spinning space station yet? Well one problem is size. To make this practical we
need a massive ship, which would be incredibly expensive to get into orbit.
The acceleration your body will experience is directly proportional to speed and radius
of the space station. We can calculate the gravity Space Station V from 2001: A Space
Odyssey would generate with some pretty simple math. The space station V had a diameter of
300 meters and spun on it’s axis once every 60 seconds.
That would put its gravity at about the same as the moons. For it to have a gravity similar
to earths it would need to spin once every 24 seconds.
If were to make this a realistic size, let’s say the same size as the international space
station. It would need to spin once every 10 seconds. This would probably be pretty
disorientating, just ask Sandra bullock. Another problem we face on smaller stations
like this, is the gradient in acceleration you would experience. Because the acceleration
is directly proportional to the distance to the rotational center, your head will experience
less artificial gravity than your feet. This would force the blood to your feet, just like
when you spin a bucket of water around. This effect will diminish with a larger stations.
So to make a practical space station with artificial gravity the station would have
to be huge, which is simply too expensive. Besides, the ISS is most valuable to us as
a laboratory to test the effects of microgravity. But what if money was not an issue. What would
it take to get a space ship like Elysium, built for the mega rich as an escape from
turmoil on earth, into orbit? Elysium dwarves Space Station V measuring
in at 60 kilometers wide and it is estimated to weigh about a million metric tons. Space
x can currently launch a kilogram into space for about 2720 dollars, with their falcon
9 rocket. This will be reduced to about 1650 dollars per kilo when they launch their falcon
heavy variant at the end of the year. But it would take over 18 thousand launches to
bring the one million metric tonnes to low earth orbit, that’s 1.65 trillion dollars
to just get the materials of Elysium into space with current technologies. Then we have
to worry about the costs of materials and engineering that would go into building something
of this magnitude. That is far more difficult to calculate, but
we can take some clues from the ISS. It is estimated to have cost about 150 billion in
total. It took 36 shuttle flights at a cost of 1.4 billion each to bring the materials
to space. That’s a total of 50.4 billion dollars. So the launch costs were just 33%
of the total cost. A conservative estimate for the costs of Elysium could be put at 5
trillion dollars. That’s 62.3 Bill Gates, but there are half a million people on board
Elysium, so if the cost was split between everyone that would be about 10 million each.
That isn’t so far-fetched and the price of space travel is destined to reduce in the
future. We do have materials strong enough to build
a structure like this. The forces on Elysium would be similar to the ISS, other than the
additional stress created by centripetal and centrifugal force. It’s interesting to note
that the designers of Elysium took note of this. The stress in a spinning structure like
this would decrease as you move away from the rotational center. This means it would
need a stronger structure the closer you get to the center. This clearly influenced their
design with these tapering spokes. But we run into some problems when we realize there
isn’t enough aluminum in the world to build this thing. It would take at least 10 years’
worth of the world’s total aluminum production just to build the structure. This would cause
a huge surge in the cost of the material. An alternative method could be sourcing the
materials from space. This could reduce the launch costs and there is plenty of metallic
material available on the moon and on near earth asteroids.
So this technology is definitely possible, our only barriers are launch costs and material
availability. Something on the scale of Space Station V would be easily achievable, who
knows maybe we’ll be travelling to space as tourists in the near future.
Once again thanks for watching, I have a little bonus for you at the end of this outro, you
can skip ahead or wait to watch it. I’d like to thank my Patreon supporters Bastien,
Nick and FG for helping me revise this video. Your support is really appreciated. Thank
you. If you would like to see more content or support Real Engineering. The links for
my Patreon, Instagram, Facebook and Twitter accounts are below.
So I promised to include this in my last video, but I couldn’t figure out how to include
it in this video in a seamless way. The centrifugal governor was used in the industrial revolution
to control the amount of steam entering the steam piston. Which was essential as the supply
and demand can vary with fuel and load. For example if the engineer puts more coal
into the boiler, the pressure will rise and these masses spin faster, which increases
the centrifugal force and pushes them outwards. This raises this sleeve up which in turn closes
the valve to reduce the amount of steam entering the engine. So the centrifugal governor acts
as a sensor to provide direct mechanical feedback to control the speed of the engine. It is
one of my favorite inventions of the industrial revolution. Thanks for watching till the end
everyone. Hope you liked the video and feel free to ask me any questions on twitter.