Circular Motion Problem

  • Thread starter cheerspens
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  • #1
cheerspens
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Homework Statement



A space station has a radius of 200 meters. An astronaut has a mass of 55 kilograms and the station rotates at 1.5 rev/min. What is the period of rotation for the station?

Homework Equations


[tex]\tau[/tex]=2[tex]\pi[/tex]r/v
a=v2/r
Fg=mg
FNET=ma


The Attempt at a Solution


I think the FNET equation is Fsp=ma and I'm pretty sure you have to solve for [tex]\tau[/tex] but in order to do that I need to solve for a. How do I either find a velocity or acceleration to do this?
 

Answers and Replies

  • #2
kuruman
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Time out. This is not a Newton's Second Law problem. Just think. If the station does 1.5 revolutions in one minute, what is the period, i.e. how long does it take to make one revolution?
 
  • #3
cheerspens
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Would you just have to set it up as a proportion and find that it takes 1.5 seconds to make one revolution?
 
  • #4
kuruman
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What kind of proportion? If (as you say) it takes 1.5 seconds to make one revolution, then it will make two revolutions in 3 seconds. But you are told that it makes 1.5 revolutions in one minute or 60 seconds. So what you say can't be right. Look at it this way: it makes 1.5 revolutions in 60 seconds. Can you find how many seconds for one revolution? It must be greater than 30 and less than 60.
 

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