Astronaut in rotating space station

In summary, the conversation discusses a cylindrical space station with a large diameter, thin walls, and no gravity. It is connected to the center of motion by radial spokes. The first question asks for the fractional change in apparent gravity on the surface of the cylinder when an astronaut climbs a spoke to the center. The second question asks how far the astronaut will fall if they let go halfway up a spoke. The answer to the first question is 1+m/M and the method used is conservation of energy. The second question is also solved using conservation of energy. The discussion also touches on the conservation of angular momentum in the system.
  • #1
bon
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Homework Statement



cylindrical space station - large diameter, thin walled - radius r, mass M rotating in deep space, no gravity

1)radial spokes of negligible mass connect the cylinder ti the centre of motion. Astronaut mass m climbs a spoke to the centre. What is the fractional change in apparent gravity on the surface of the cylinder?

2)if the astronaut climbs halfway up a spoke and let's go, how far form the base of the spoke will he hit the cylinder? Assume the astronaut is point like..

Homework Equations





The Attempt at a Solution



1) Got the answer to be 1+m/M for ratio after/before..

is this right? I applied conservation of energy rather than angular momentum...why is angular momentum not conserved?

2) How do i do this one? Consv of energy again?
 
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  • #2
anyone?
 
  • #3
Anyone able to help with this please? :)
 
  • #4
*bump*
 
  • #5
You forgot to show your work again. :)

ehild
 
  • #6
Ok I didn't show because I'm just wanted to ask the following question first:

In the two cases, it is ENERGY rather than ANGULAR MOMENTUM that is conserved - yes? Why is angular momentum not conserved?
 
  • #7
any ideas?
 
  • #8
The angular momentum of the whole space-station+ astronaut is conserved, as there is no external torque.

ehild
 

What is a rotating space station?

A rotating space station is a structure that is designed to create artificial gravity by spinning in a circular motion. This allows astronauts to experience a similar gravitational force to what they would feel on Earth.

How does a rotating space station work?

A rotating space station works by using centripetal force, which is created by the spinning motion. This force pushes the astronauts towards the outer edges of the station, creating the feeling of gravity. The rotation speed is carefully calculated to match the gravitational force on Earth.

What are the benefits of a rotating space station?

The main benefit of a rotating space station is the creation of artificial gravity. This allows astronauts to perform tasks and experiments as they would on Earth, reducing the effects of long-term weightlessness on the human body. It also provides a more comfortable living environment for the crew.

How is the rotation of a space station maintained?

The rotation of a space station is maintained by using small thrusters or gyroscopes to counteract any external forces that may slow down or disrupt the rotation. The station may also have a system of motors and gears to keep it rotating at a constant speed.

What are the challenges of living and working in a rotating space station?

One of the main challenges of living and working in a rotating space station is adjusting to the constant change in gravitational force. This may cause disorientation and motion sickness for some astronauts. Another challenge is designing and maintaining the complex systems needed to keep the station rotating and functioning properly.

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